Currently, the urgent problem is to ensure the ability of recognizing the situations and supporting the decision-making in the «Smart House» cyber-physical system. The purpose of this study is recognizing the situations and supporting the decision-making in the residential luminosity control subsystem of «Smart House» cyber-physical system. The developed in this paper method for setting up the residential luminosity control subsystem of «Smart House» cyber-physical system for each room allows to enter the necessary parameters for further automatic operation of the residential luminosity control subsystem of «Smart House» cyber-physical system. The developed method of recognizing the situations and supporting the decision-making in the residential luminosity control subsystem of «Smart House» cyberphysical system provides the user of the subsystem with the ability to quickly and conveniently configure the necessary lighting mode. In addition, the developed method provides for the recognition of various situations in the lighting scenario (sufficient light flow, insufficient light flow, excess light flow - according to the current lighting standards) and support for decision-making regarding the lighting of the home according to the lighting mode set by the user (reflecting/closing shading devices, turning on/off the lamps depending on the recognized situation).
1. housing microclimate management subsystem 2. residential luminosity control subsystem 3. housing security management subsystem 4. multimedia control subsystem 5. home appliances and power grid control subsystem
The "Smart House" cyber-physical system should be equipped with an intuitive control and management interface so as not to require deep knowledge of computer engineering and programming from home owners, and should also be able to recognize situations (planned or emergency) and to correctly respond to them (to make correct decisions in one or another situation) [6]. Decision-making is, first of all, the ability to choose the correct solution from among alternative options for solving a situation or problem that arose during the operation of the system. Any choice is always associated with certain difficulties (for example, with insufficient information when forming alternative decision options) [7-12].
So, currently, the urgent problem is to ensure the ability of recognizing the situations and supporting the decision-making in the «Smart House» cyber-physical system.
Let's conduct a survey of research of known solutions for recognizing the situations and supporting the decision-making in the "Smart House" cyber-physical system.
From the point of view of the purpose and functions of the "Smart House" cyber-physical system, we are interested in whether known solutions provide situation recognition and decision-making support in the process of managing the microclimate of the home – criterion 1; whether known solutions provide recognition of situations and decision-making support in the process of residential luminosity control – criterion 2; whether known solutions provide recognition of situations and decision-making support in the process of managing the housing security – criterion 3; whether known solutions provide recognition of situations and decision-making support in the multimedia control process – criterion 4; whether known solutions provide recognition of situations and support for decision-making in the process of control of the home appliances and the power grid – criterion 5.
Let's summarize the results of the survey of known solutions for recognizing the situations and supporting the decision-making in the "Smart House" cyber-physical system in terms of their satisfaction of the above criteria – Table 1.
"Smart House" from the point of view of the temperature regime [13]
to efficiently utilizing the solar power and optimizing the battery energy storage operations in "Smart House" [14]
lower the cost of electricity, and customer satisfaction [15]
decision-making about the control in humidity and temperature [17]
generation of the one-time password on mobile phone [18] Internet-of-Things-based indoor, environmental, comfortable and real-time monitoring system for the Smart House intended to the humidity and temperature measurement and the to the luminosity measurement [19]
for detecting the presence/absence of people in the Smart House [20]
automatic detection of the humidity level, temperature, with built-in gas detection sensors for remotely control of household appliances [22]
consumption and environmental impacts of Smart House systems [23]
humidity and temperature sensors, mechanical (door lock), electrical (generic power switch, fan, power plug) [24]
designed to cost-effective interaction of the household appliances [27]
into account the electrical grids' techno-economic indices [28]
The conducted survey of research showed that: known solutions provide for situation recognition and decision-making support only, as a rule, for one or two subsystems of the "Smart House" cyberphysical system, and also do not provide for the possibility of assessing the sufficiency of information for decision-making in the "Smart House" cyber-physical system house". Therefore, the goal of our overall research is recognizing the situations and supporting the decision-making for all 5 subsystems of the «Smart House» cyber-physical system, with an assessment of the sufficiency of information for all decisions by developing a comprehensive situation recognition and decision support system in the «Smart House» cyber-physical system, and the purpose of this study is recognizing the situations and supporting the decision-making in the residential luminosity control subsystem of «Smart House» cyber-physical system.
The residential luminosity control subsystem of «Smart House» cyber-physical system (Figure 1) controls the following types of lighting: natural (adjustment of the position of blinds and rollers shutters, mechanical opening/closing of curtains), artificial (adjustment of brightness and number of lighting devices depending on weather conditions, time of day, the type of activity of the residents at this moment), creating light scenarios that provide optimal lighting for a particular situation. 17. if the subsystem's user has chosen the "incandescent lamps" type of used in the room lamps, then, then trl=4 18. input by the subsystem's user of the power value of one used lamp (in W) – the entered value is assigned to the variable Pl 19. input by the subsystem's user of the number of lamps used in the room – the entered value is assigned to the variable ak 20. selection by the subsystem's user of shading devices available in the room (blinds, roller shutters, curtains; let's assume that one of the shading devices is used or none of these devices are used) 21. if the subsystem's user has chosen “no shading devices are used”, then asd=0 22. if the subsystem's user has chosen the available in the room shading device "blinds", then asd=1 23. if the subsystem's user has chosen the available in the room shading device "roller shutters", then asd=2 24. if the subsystem's user has chosen the available in the room shading device "curtains", the asd=3 25. delection of the subsystem's user the start room lighting mode (activity, relaxation, sleep) – the user can change the room lighting mode at any time 26. if the subsystem's user has chosen the room lighting mode "activity", the rlm=1 27. if the subsystem's user has chosen the room lighting mode "relax", then rlm=2 28. if the subsystem's user has chosen the room lighting mode "sleep", then rlm=3 The developed method for setting up the residential luminosity control subsystem of «Smart House» cyber-physical system for each room allows to enter the necessary parameters for further automatic operation of the residential luminosity control subsystem of «Smart House» cyber-physical system.
Luminosity is a physical-optical quantity that characterizes the ratio of the light flux to the surface area over which it spreads. The standard values of the luminosity for different types of rooms: standard of luminosity of the kitchen – 150 lux, living room – 450 lux, children's room/bedroom – 200 lux, working cabinet/office – 300 lux, bathroom/corridor – 50-75 lux.
The room luminosity can be calculated using the formula:
= Ф/ , (
Then the luminous flux will be determined by the formula:
Ф = ∗ . (
For calculation of the luminous flux, it is important to take into account the height of the ceiling in the room, then the luminous flux will be determined by the formula:
Ф = ∗ ∗ , (
Let, we need to calculate the necessary light flux for a kitchen with an area of 12 m2 with a ceiling height of 2.5 m:
Ф = 150 ∗ ∗ 1 = 150 ∗ = 150 ∗ 12 = 1800 ( ).
Similarly, let's calculate the value of the required (according to standards) luminous flux for rooms of different types with different ceiling heights – Table 2.
Since different lamps emit light of different strengths, their power depends on the type of the used lamp – LED (75 lumens per 1 W), energy-saving (47 lumens per 1 W), halogen (15 lumens per 1 W) or incandescent lamps (12 lumens per 1 W). The required total power provided by different types of lamps for different types of rooms in order to create a normal light flux is presented in Tables 3-6.
height from 2.7 to 3 m (chi=2)
height from 3 to 3.5 м (chi=3)
height from 3.5 to 4.5 м (chi=4) Calculation of the total power (Р) of LED lamps (trl=1) for creation of the normal luminous flux for rooms of different types with different ceiling heights (Вт)
height from 2.7 to 3 m (chi=2)
height from 3 to 3.5 м (chi=3)
height from 3.5 to 4.5 м (chi=4) Calculation of the total power (Р) of the energy-saving lamps (trl=2) for creation of the normal luminous flux for rooms of different types with different ceiling heights In general, recognizing the situations and decision-making consists of the following steps: 1. determination of the aim (goal) and means of its achievement 2. formation of options for achieving the goal (set of alternatives) 3. evaluation of alternatives in order to choose the best alternative(s)
For the residential luminosity control subsystem of «Smart House» cyber-physical system, the aim (goal) of recognizing the situations and making the decisions is ensuring the comfortable conditions depending on the type of user's activity at the current moment (for example, to create high-quality work/activity conditions or to provide comfort for relaxation or sleep). Means of achieving the goal in this case can be blinds, rollers shutters, curtains, lighting lamps.
When the user has chosen the goal (the required lighting mode are: "activity" (rlm=1; when the user chooses this mode, the residential luminosity control subsystem of «Smart House» cyber-physical system must ensure the normal value of the luminous flux in the room specified in Table 2), "relax" (rlm=2; when the user selects this mode, the residential luminosity control subsystem of «Smart House» cyber-physical system must provide half of the normal value of the luminous flux in the room specified in Table 2), "sleep" (rlm=3; when the user chooses this mode, the residential luminosity control subsystem of «Smart House» cyber-physical system should ensure the absence of light flow in the room)), then the residential luminosity control subsystem of «Smart House» cyber-physical system should form a set of alternatives (scenarios) using natural and artificial lighting, which provide optimal luminosity for a particular situation.
The set of possible alternatives (scenarios) is formed according to Table 2 and has the following form:
(
The set of possible alternatives (scenarios) represented by formula (
The set of scenarios for calculating the number of additional lamps that must be turned on to ensure the required level of luminosity is formed according to Tables 3-6 and has the following form: where scal1 – if rlm=1 and trl=1 and tr=1 and chi=1 and (Ф/75)<(2*S), then = 2.4∗−Ф /75 ; scal3 – if rlm=1 and trl=1 3∗−Ф /75 ; scal4 – if rlm=1 and trl=1 and tr=1 and
(
4∗−Ф /75 ; scal5 – if rlm=1 and trl=1 and tr=2 and chi=1 and 6∗−Ф /75 ; scal6 – if rlm=1 and trl=1 and tr=2 and chi=2 and (Ф/75)<(7.2*S),
7.2∗−Ф /75 ; scal7 – if rlm=1 and trl=1 and tr=2 and chi=3 and (Ф/75)<(9*S), then = 9∗−Ф /75 ; scal8 – if rlm=1 and trl=1 and tr=2 and chi=4 and (Ф/75)<(12*S), then = 12∗−Ф /75 ; scal9 – if rlm=1 and trl=1 and tr=3 and chi=1 and (Ф/75)<(2.67*S), then = 2.67∗−Ф /75 ; scal10 – if rlm=1 and trl=1 and tr=3 and chi=2 and (Ф/75)<(3.2*S), then = trl=1 and tr=3 and chi=3 and (Ф/75)<(4*S), then = 3.2∗−Ф /75 ; scal11 – if rlm=1 and 4∗−Ф /75 ; scal12 – if rlm=1 and trl=1 and tr=3 scal27 – if rlm=2 and trl=1 and tr=2 and chi=3 and (Ф/75)<(4.5*S), then = rlm=2 and trl=1 and tr=2 and chi=4 and (Ф/75)<(6*S), then = 6∗−Ф /75 ; scal29 – if rlm=2 and trl=1 4.5∗−Ф /75 ; scal28 – if and tr=3 and chi=1 and (Ф/75)<(1.335*S), then = and chi=2 and (Ф/75)<(1.6*S), then = 1.335∗−Ф /75 ; scal30 – if rlm=2 and trl=1 and tr=3 1.6∗−Ф /75 ; scal31 – if rlm=2 and trl=1 and tr=3 and chi=3 and chi=4 and (Ф/75)<(5.33*S), then = and (Ф/75)<(4*S), then = (Ф/75)<(4.8*S), then = (Ф/75)<(6*S), then =
4∗−Ф /75 ; scal14 – if rlm=1 and trl=1 and tr=4 and chi=2 and 4.8∗−Ф /75 ; scal15 – if rlm=1 and trl=1 and tr=4 and chi=3 and 6∗−Ф /75 ; scal16 – if rlm=1 and trl=1 and tr=4 and chi=4 and (Ф/75)<(8*S),
5.33∗−Ф /75 ; scal13 – if rlm=1 and trl=1 and tr=4 and chi=1 scal18 – if rlm=1 and trl=1 and tr=5 and chi=2 and (Ф/75)<(1.2* S), then = rlm=1 and trl=1 and tr=5 and chi=3 and (Ф/75)<(1.5* S), then = trl=1 and tr=5 and chi=4 and (Ф/75)<(2*S), then = and chi=1 and (Ф/75)<(S), then = −Ф /75 ; scal22 – if rlm=2 and trl=1 and tr=1 and chi=2 and 1.2∗−Ф /75 ; scal19 – if
1.5∗−Ф /75 ; scal20 – if rlm=1 and 2∗−Ф /75 ; scal21 – if rlm=2 and trl=1 and tr=1
8∗−Ф /75 ; scal17 – if rlm=1 and trl=1 and tr=5 and chi=1 and (Ф/75)<(S), then = −Ф /75 ; (Ф/75)<(1.2*S), then = (Ф/75)<(1.5*S), then =
1.2∗−Ф /75 ; scal23 – if rlm=2 and trl=1 and tr=1 and chi=3 and 1.5∗−Ф /75 ; scal24 – if rlm=2 and trl=1 and tr=1 and chi=4 та (Ф/75)<(2*S),
2∗−Ф /75 ; scal25 – if rlm=2 and trl=1 and tr=2 and chi=1 and (Ф/75)<(3*S), then = 3∗−Ф /75 ; scal26 – if rlm=2 and trl=1 and tr=2 and chi=2 and (Ф/75)<(3.6*S), then = 3.6∗−Ф /75 ; (Ф/75)<(2.665*S), then = 2.665∗−Ф /75 ; scal33 – if rlm=2 and trl=1 and tr=4 and chi=1 and (Ф/75)<(2*S), then = 2∗−Ф /75 ; scal34 – if rlm=2 and trl=1 and tr=4 and chi=2 and (Ф/75)<(2.4*S),
2.4∗−Ф /75 ; scal35 – if rlm=2 and trl=1 and tr=4 and chi=3 and (Ф/75)<(3*S), then = 3∗−Ф /75 ; scal36 – if rlm=2 and trl=1 and tr=4 and chi=4 and (Ф/75)<(4*S), then = 4∗−Ф /75 ; scal37 – if rlm=2 and trl=1 and tr=5 and chi=1 and (Ф/75)<(0.5*S), then = rlm=2 and trl=1 and tr=5 and chi=2 and (Ф/75)<(0.6*S), then = 0.6∗−Ф /75 ; scal39 – if rlm=2 and 0.5∗−Ф /75 ; scal38 – if trl=1 and tr=5 and chi=3 and (Ф/75)<(0.75*S), then = 0.75∗−Ф /75 ; scal40 – if rlm=2 and trl=1 and tr=5 and chi=4 and (Ф/75)<(S), then = −Ф /75 ; scal41 – if rlm=1 and trl=2 and tr=1 and chi=1 and (Ф/47)<(3.2*S), then = 3.2∗−Ф /47 ; scal42 – if rlm=1 and trl=2 and tr=1 and chi=2 and (Ф/47)<(3.83*S), then = 3.83∗−Ф /47 ; scal43 – if rlm=1 and trl=2 and tr=1 and chi=3 and (Ф/47)<(4.79*S), then = 4.79∗−Ф /47 ; scal44 – if rlm=1 and trl=2 and tr=1 and chi=4 and (Ф/47)<(6.39*S), then = 6.39∗−Ф /47 ; scal45 – if rlm=1 and trl=2 and tr=2 and chi=1 and (Ф/47)<(9.58*S), then = 9.58∗−Ф /47 ; scal46 – if rlm=1 and trl=2 and tr=2 and chi=2 and (Ф/47)<(19.15*S), then = 19.15∗−Ф /47 ; scal49 – if rlm=1 and trl=2 and tr=3 and chi=1 and (Ф/47)<(4.26*S), then = 4.26∗−Ф /47 ; scal50 – if rlm=1 and trl=2 and tr=3 and chi=2 and (Ф/47)<(5.11*S), then = 5.11∗−Ф /47 ; scal51 – if rlm=1 and trl=2 and tr=3 and chi=3 and (Ф/47)<(6.39*S), then = 6.39∗−Ф /47 ; scal52 – if rlm=1 and trl=2 and tr=3 and chi=4 and and (Ф/75)<(2*S), then = 2∗−Ф /75 ; scal32 – if rlm=2 and trl=1 and tr=3 and chi=4 and (Ф/47)<(3.2*S), then = 3.2∗−Ф /47 ; scal61 – if rlm=2 and trl=2 and tr=1 and chi=1 and (Ф/47)<(11.49*S), then = 11.49∗−Ф /47 ; scal47 – if rlm=1 and trl=2 and tr=2 and chi=3 and (Ф/47)<(14.37*S), then = 14.37∗−Ф /47 ; scal48 – if rlm=1 and trl=2 and tr=2 and chi=4 and (Ф/47)<(4.79*S), then = 4.79∗−Ф /47 ; scal66 – if rlm=2 and trl=2 and tr=2 and chi=2 and (Ф/47)<(5.745*S), then = 5.745∗−Ф /47 ; scal67 – if rlm=2 and trl=2 and tr=2 and chi=3 and (Ф/47)<(8.52*S), then = 8.52∗−Ф /47 ; scal53 – if rlm=1 and trl=2 and tr=4 and chi=1 and (Ф/47)<(6.39*S), then = 6.39∗−Ф /47 ; scal54 – if rlm=1 and trl=2 and tr=4 and chi=2 and (Ф/47)<(1.92*S), then = 1.92∗−Ф /47 ; scal59 – if rlm=1 and trl=2 and tr=5 and chi=3 and (Ф/47)<(2.4*S), then = 2.4∗−Ф /47 ; scal60 – if rlm=1 and trl=2 and tr=5 and chi=4 and (Ф/47)<(7.66*S), then = 7.66∗−Ф /47 ; scal55 – if rlm=1 and trl=2 and tr=4 and chi=3 and (Ф/47)<(1.6*S), then = 1.6∗−Ф /47 ; scal58 – if rlm=1 and trl=2 and tr=5 and chi=2 and (Ф/47)<(9.58*S), then = 9.58∗−Ф /47 ; scal56 – if rlm=1 and trl=2 and tr=4 and chi=4 and (Ф/47)<(12.77*S), then = 12.77∗−Ф /47 ; scal57 – if rlm=1 and trl=2 and tr=5 and chi=1 and (Ф/47)<(1.6*S), then = 1.6∗−Ф /47 ; scal62 – if rlm=2 and trl=2 and tr=1 and chi=2 and (Ф/47)<(1.915*S), then = 1.915∗−Ф /47 ; scal63 – if rlm=2 and trl=2 and tr=1 and chi=3 and (Ф/47)<(2.395*S), then = 2.395∗−Ф /47 ; scal64 – if rlm=2 and trl=2 and tr=1 and chi=4 and (Ф/47)<(3.195*S), then = 3.195∗−Ф /47 ; scal65 – if rlm=2 and trl=2 and tr=2 and chi=1 and (Ф/47)<(4.26*S), then = 4.26∗−Ф /47 ; scal73 – if rlm=2 and trl=2 and tr=4 and chi=1 and (Ф/47)<(3.195*S), then = 3.195∗−Ф /47 ; scal74 – if rlm=2 and trl=2 and tr=4 and chi=2 and (Ф/47)<(7.185*S), then = 7.185∗−Ф /47 ; scal68 – if rlm=2 and trl=2 and tr=2 and chi=4 and (Ф/47)<(1.6*S), then = 1.6∗−Ф /47 ; scal81 – if rlm=1 and trl=3 and tr=1 and chi=1 and (Ф/47)<(3.83*S), then = 3.83∗−Ф /47 ; scal75 – if rlm=2 and trl=2 and tr=4 and chi=3 and (Ф/47)<(4.79*S), then = 4.79∗−Ф /47 ; scal76 – if rlm=2 and trl=2 and tr=4 and chi=4 and (Ф/47)<(6.385*S), then = 6.385∗−Ф /47 ; scal77 – if rlm=2 and trl=2 and tr=5 and chi=1 and (Ф/47)<(0.8*S), then = 0.8∗−Ф /47 ; scal78 – if rlm=2 and trl=2 and tr=5 and chi=2 and (Ф/47)<(9.575*S), then = 9.575∗−Ф /47 ; scal69 – if rlm=2 and trl=2 and tr=3 and chi=1 and (Ф/47)<(2.13*S), then = 2.13∗−Ф /47 ; scal70 – if rlm=2 and trl=2 and tr=3 and chi=2 and (Ф/47)<(2.555*S), then = 2.555∗−Ф /47 ; scal71 – if rlm=2 and trl=2 and tr=3 and chi=3 and (Ф/47)<(3.195*S), then = 3.195∗−Ф /47 ; scal72 – if rlm=2 and trl=2 and tr=3 and chi=4 and (Ф/47)<(0.96*S), then = 0.96∗−Ф /47 ; scal79 – if rlm=2 and trl=2 and tr=5 and chi=3 and (Ф/47)<(1.2*S), then = 1.2∗−Ф /47 ; scal80 – if rlm=2 and trl=2 and tr=5 and chi=4 and (Ф/15)<(10*S), then = 10∗−Ф /15 ; scal82 – if rlm=1 and trl=3 and tr=1 and chi=2 and (Ф/15)<(12*S), then = 12∗− Ф /15 ; scal83 – if rlm=1 and trl=3 and tr=1 and chi=3 and (Ф/15)<(15*S), then = 15∗− Ф /15 ; scal84 – if rlm=1 and trl=3 and tr=1 and chi=4 and (Ф/15)<(20*S), then = 20∗− Ф /15 ; scal85 – if rlm=1 and trl=3 and tr=2 and chi=1 and (Ф/15)<(30*S), then = 30∗− Ф /15 ; scal86 – if rlm=1 and trl=3 and tr=2 and chi=2 and (Ф/15)<(36*S), then = 36∗− Ф /15 ; scal87 – if rlm=1 and trl=3 and tr=2 and chi=3 and (Ф/15)<(45*S), then = 45∗− Ф /15 ; scal88 – if rlm=1 and trl=3 and tr=2 and chi=4 and (Ф/15)<(60*S), then = 60∗− Ф /15 ; scal89 – if rlm=1 and trl=3 and tr=3 and chi=1 and (Ф/15)<(16*S), then = 16∗−Ф /15 ; scal91 – if rlm=1 and trl=3 and tr=3 and chi=3 and (Ф/15)<(20*S), then = 20∗− Ф /15 ; scal92 – if rlm=1 and trl=3 and tr=3 and chi=4 and (Ф/15)<(13.34*S), then = 13.34∗−Ф /15 ; scal90 – if rlm=1 and trl=3 and tr=3 and chi=2 and (Ф/15)<(26.67*S), then = 26.67∗−Ф /15 ; scal93 – if rlm=1 and trl=3 and tr=4 and chi=1 and (Ф/15)<(20*S), then = 20∗−Ф /15 ; scal94 – if rlm=1 and trl=3 and tr=4 and chi=2 and (Ф/15)<(24*S), then = 24∗− Ф /15 ; scal95 – if rlm=1 and trl=3 and tr=4 and chi=3 and (Ф/15)<(30*S), then = 30∗− Ф /15 ; scal96 – if rlm=1 and trl=3 and tr=4 and chi=4 and (Ф/15)<(40*S), then = 40∗−Ф /15 ; scal97 – if rlm=1 and trl=3 and tr=5 and chi=1 and (Ф/15)<(5*S), then = 5∗−Ф /15 ; scal98 – if rlm=1 and trl=3 and tr=5 and chi=2 and (Ф/15)<(6*S), then = scal100 – if rlm=1 and trl=3 and tr=5 and chi=4 and (Ф/15)<(10*S), then = 10∗−Ф /15 ; scal101 – if 6∗−Ф /15 ; scal99 – if rlm=1 and trl=3 and tr=5 and chi=3 and (Ф/15)<(7.5*S), then = 7.5∗−Ф /15 ; rlm=2 and trl=3 and tr=1 and chi=1 and (Ф/15)<(5*S), then = 5∗−Ф /15 ; scal102 – if rlm=2 and trl=3 and tr=1 and chi=2 and (Ф/15)<(6*S), then = 6∗−Ф /15 ; scal103 – if rlm=2 and trl=3 and tr=1 and
(Ф/15)<(18*S), then = 18∗−Ф /15 ; scal107 – if rlm=2 and trl=3 and tr=2 and chi=3 and (Ф/15)<(22.5*S), then = 22.5∗−Ф /15 ; scal108 – if rlm=2 and trl=3 and tr=2 and chi=4 and
10∗−Ф /15 ; scal112 – if rlm=2 and trl=3 and tr=3 and chi=4 and (Ф/15)<(13.335*S), then = (Ф/15)<(30*S), then = 30∗−Ф /15 ; scal109 – if rlm=2 and trl=3 and tr=3 and chi=1 and (Ф/15)<(8*S), then = 8∗−Ф /15 ; scal111 – if rlm=2 and trl=3 and tr=3 and chi=3 and (Ф/15)<(10*S), (Ф/15)<(6.67*S), then = 6.67∗−Ф /15 ; scal110 – if rlm=2 and trl=3 and tr=3 and chi=2 and chi=3 and (Ф/15)<(7.5*S), then = 7.5∗−Ф /15 ; scal104 – if rlm=2 and trl=3 and tr=1 and chi=4 and (Ф/15)<(10*S), then = 10∗−Ф /15 ; scal105 – if rlm=2 and trl=3 and tr=2 and chi=1 and (Ф/15)<(15*S), then = 15∗−Ф /15 ; scal106 – if rlm=2 and trl=3 and tr=2 and chi=2 and (Ф/15)<(5*S), then = 5∗−Ф /15 ; scal121 – if rlm=1 and trl=4 and tr=1 and chi=1 and (Ф/12)<(12.5*S), then = 12.5∗−Ф /12 ; scal122 – if rlm=1 and trl=4 and tr=1 and chi=2 and (Ф/12)<(15*S), then = 15∗−Ф /12 ; scal123 – if rlm=1 and trl=4 and tr=1 and chi=3 and (Ф/12)<(18.75*S), then = 18.75∗−Ф /12 ; scal124 – if rlm=1 and trl=4 and tr=1 and chi=4 and 13.335∗−Ф /15 ; scal113 – if rlm=2 and trl=3 and tr=4 and chi=1 and (Ф/15)<(10*S), then = 10∗−Ф /15 ; scal114 – if rlm=2 and trl=3 and tr=4 and chi=2 and (Ф/15)<(12*S), then = 12∗−Ф /15 ; scal115 – if rlm=2 and trl=3 and tr=4 and chi=3 and (Ф/15)<(15*S), then = 15∗−Ф /15 ; scal116 – if rlm=2 and trl=3 and tr=4 and chi=4 and (Ф/15)<(20*S), then = trl=3 and tr=5 and chi=1 and (Ф/15)<(2.5*S), then = 2.5∗−Ф /15 ; scal118 – if rlm=2 and trl=3 and tr=5 and chi=2 and (Ф/15)<(3*S), then = 3∗−Ф /15 ; scal119 – if rlm=2 and trl=3 and tr=5 and chi=3 and (Ф/15)<(3.75*S), then = 3.75∗−Ф /15 ; scal120 – if rlm=2 and trl=3 and tr=5 and chi=4 and
20∗−Ф /15 ; scal117 – if rlm=2 and (Ф/12)<(25*S), then = 25∗−Ф /12 ; scal125 – if rlm=1 and trl=4 and tr=2 and chi=1 and (Ф/12)<(37.5*S), then = 37.5∗−Ф /12 ; scal126 – if rlm=1 and trl=4 and tr=2 and chi=2 and (Ф/12)<(20*S), then = 20∗−Ф /12 ; scal131 – if rlm=1 and trl=4 and tr=3 and chi=3 and (Ф/12)<(25*S), then = 25∗−Ф /12 ; scal132 – if rlm=1 and trl=4 and tr=3 and chi=4 and (Ф/12)<(45*S), then = 45∗−Ф /12 ; scal127 – if rlm=1 and trl=4 and tr=2 and chi=3 and (Ф/12)<(16.67*S), then = 16.67∗−Ф /12 ; scal130 – if rlm=1 and trl=4 and tr=3 and chi=2 and (Ф/12)<(56.25*S), then = 56.25∗−Ф /12 ; scal128 – if rlm=1 and trl=4 and tr=2 and chi=4 and (Ф/12)<(75*S), then = 75∗−Ф /12 ; scal129 – if rlm=1 and trl=4 and tr=3 and chi=1 and (Ф/12)<(33.34*S), then = 33.34∗−Ф /12 ; scal133 – if rlm=1 and trl=4 and tr=4 and chi=1 and (Ф/12)<(25*S), then = 25∗−Ф /12 ; scal134 – if rlm=1 and trl=4 and tr=4 and chi=2 and (Ф/12)<(30*S), then = 30∗−Ф /12 ; scal135 – if rlm=1 and trl=4 and tr=4 and chi=3 and (Ф/12)<(37.5*S), then = 37.5∗−Ф /12 ; scal136 – if rlm=1 and trl=4 and tr=4 and chi=4 and (Ф/12)<(50*S), then = 50∗−Ф /12 ; scal137 – if rlm=1 and trl=4 and tr=5 and chi=1 and (Ф/12)<(6.25*S), then = 6.25∗−Ф /12 ; scal138 – if rlm=1 and trl=4 and tr=5 and chi=2 and (Ф/12)<(7.5*S), then = 7.5∗−Ф /12 ; scal139 – if rlm=1 and trl=4 and tr=5 and chi=3 and (Ф/12)<(9.38*S), then = (Ф/12)<(12.5*S), then = (Ф/12)<(6.25*S), then = (Ф/12)<(7.5*S), then = (Ф/12)<(9.375*S), then = (Ф/12)<(12.5*S), then = (Ф/12)<(18.75*S), then = (Ф/12)<(22.5*S), then = (Ф/12)<(28.125*S), then = (Ф/12)<(37.5*S), then = (Ф/12)<(8.335*S), then = (Ф/12)<(10*S), then = (Ф/12)<(12.5*S), then = (Ф/12)<(16.67*S), then = (Ф/12)<(12.5*S), then = (Ф/12)<(15*S), then = (Ф/12)<(18.75*S), then = (Ф/12)<(25*S), then = (Ф/12)<(3.125*S), then = (Ф/12)<(3.75*S), then = (Ф/12)<(4.69*S), then = (Ф/12)<(6.25*S), then =
The set of scenarios for calculating the number of additional lamps that must be turned on to ensure the
required level of illuminosity, represented by formula (
SCALLED={scal1…scal40} SCALES={scal41…scal80} – subset
of = { – subset ,
of scenarios
, , }, scenarios
for for turning turning on on
LED
energy-saving
(
The set of scenarios for calculating the number of lamps that must be turned off to ensure the required 9.375∗−Ф /12 ; scal144 – if rlm=2 and trl=4 and tr=1 and chi=4 and 12.5∗−Ф /12 ; scal145 – if rlm=2 and trl=4 and tr=2 and chi=1 and 18.75∗−Ф /12 ; scal146 – if rlm=2 and trl=4 and tr=2 and chi=2 and 22.5∗−Ф /12 ; scal147 – if rlm=2 and trl=4 and tr=2 and chi=3 and
28.125∗−Ф /12 ; scal148 – if rlm=2 and trl=4 and tr=2 and chi=4 and 37.5∗−Ф /12 ; scal149 – if rlm=2 and trl=4 and tr=3 and chi=1 and 8.335∗−Ф /12 ; scal150 – if rlm=2 and trl=4 and tr=3 and chi=2 and 12.5∗−Ф /12 ; scal152 – if rlm=2 and trl=4 and tr=3 and chi=4 and 16.67∗−Ф /12 ; scal153 – if rlm=2 and trl=4 and tr=4 and chi=1 and 12.5∗−Ф /12 ; scal154 – if rlm=2 and trl=4 and tr=4 and chi=2 and 15∗−Ф /12 ; scal155 – if rlm=2 and trl=4 and tr=4 and chi=3 and 25∗−Ф /12 ; scal157 – if rlm=2 and trl=4 and tr=5 and chi=1 and 3.125∗−Ф /12 ; scal158 – if rlm=2 and trl=4 and tr=5 and chi=2 and 3.75∗−Ф /12 ; scal159 – if rlm=2 and trl=4 and tr=5 and chi=3 and 4.69∗−Ф /12 ; scal160 – if rlm=2 and trl=4 and tr=5 and chi=4 and 7.5∗−Ф /12 ; scal143 – if rlm=2 and trl=4 and tr=1 and chi=3 and level of luminosity is formed according to Tables 3-6 and has the following form: 10∗−Ф /12 ; scal151 – if rlm=2 and trl=4 and tr=3 and chi=3 and 18.75∗−Ф /12 ; scal156 – if rlm=2 and trl=4 and tr=4 and chi=4 and 9.38∗−Ф /12 ; scal140 – if rlm=1 and trl=4 and tr=5 and chi=4 and 12.5∗−Ф /12 ; scal141 – if rlm=2 and trl=4 and tr=1 and chi=1 and 6.25∗−Ф /12 ; scal142 – if rlm=2 and trl=4 and tr=1 and chi=2 and where scoffl1 – if rlm=1 and trl=1 and tr=1 and chi=1 and (Ф/75)>(2*S), then 1 = rlm=1 and trl=1 and tr=1 and chi=2 and (Ф/75)>(2.4*S), then 1 = trl=1 and tr=1 and chi=3 and (Ф/75)>(3*S), then 1 = Ф/75−3∗ ; scoffl4 – if rlm=1 and trl=1 and tr=1 = { 1, … , 161},
(
Ф/75 − 2.4∗ ; scoffl3 – if rlm=1 and Ф/75−2∗ ; scoffl2 – if and chi=4 and (Ф/75)>(4*S), then 1 = (Ф/75)>(6*S), then 1 =
Ф/75−4∗ ; scoffl5 – if rlm=1 and trl=1 and tr=2 and chi=1 and Ф/75−6∗ ; scoffl6 – if rlm=1 and trl=1 and tr=2 and chi=2 and (Ф/75)>(7.2*S), then 1 =
Ф/75−7.2∗ ; scoffl7 – if rlm=1 and trl=1 and tr=2 and chi=3 and (Ф/75)>(9*S), then 1 = Ф/75−9∗ ; scoffl8 – if rlm=1 and trl=1 and tr=2 and chi=4 and (Ф/75)>(12*S), then 1 = rlm=1 and trl=1 and tr=3 and chi=2 and (Ф/75)>(3.2*S), then 1 = Ф/75−3.2∗ ; scoffl11 – if rlm=1 and trl=1 and tr=3 and chi=3 and (Ф/75)>(4*S), then 1 = Ф/75−4∗ ; scoffl12 – if rlm=1 and trl=1 and tr=3 scoffl9 – if rlm=1 and trl=1 and tr=3 and chi=1 and (Ф/75)>(2.67*S), then 1 = Ф/75−2.67∗ ; scoffl10 – if and chi=4 and (Ф/75)>(5.33*S), then 1 = Ф/75−5.33∗ ; scoffl13 – if rlm=1 and trl=1 and tr=4 and chi=1 rlm=1 and trl=1 and tr=5 and chi=4 and (Ф/75)>(2*S), then 1 = Ф/75−2∗ ; scoffl21 – if rlm=2 and trl=1 and tr=1 and chi=1 and (Ф/75)>(S), then 1 = Ф/75− ; scoffl22 – if rlm=2 and trl=1 and tr=1 and chi=2 and (Ф/75)>(1.2*S), then 1 = Ф/75−1.2∗ ; scoffl23 – if rlm=2 and trl=1 and tr=1 and chi=3 and (Ф/75)>(1.5*S), then 1 = Ф/75−1.5∗ ; scoffl24 – if rlm=2 and trl=1 and tr=1 and chi=4 and (Ф/75)>(6*S), then 1 = Ф/75−6∗ ; scoffl16 – if rlm=1 and trl=1 and tr=4 and chi=4 and (Ф/75)>(8*S), then 1 = Ф/75−8∗ ; scoffl17 – if rlm=1 and trl=1 and tr=5 and chi=1 and (Ф/75)>(S), then 1 = Ф/75− ; scoffl18 – if rlm=1 and trl=1 and tr=5 and chi=2 and (Ф/75)>(1.2* S), then 1 = Ф/75−1.2∗ ; scoffl19 – if rlm=1 and trl=1 and tr=5 and chi=3 and (Ф/75)>(1.5* S), then 1 = Ф/75−1.5∗ ; scoffl20 – if and (Ф/75)>(4*S), then 1 = Ф/75−4∗ ; scoffl14 – if rlm=1 and trl=1 and tr=4 and chi=2 and (Ф/75)>(4.8*S), then 1 = Ф/75−4.8∗ ; scoffl15 – if rlm=1 and trl=1 and tr=4 and chi=3 and (Ф/75)>(2*S), then 1 = Ф/75−2∗ ; scoffl25 – if rlm=2 and trl=1 and tr=2 and chi=1 and (Ф/75)>(3*S), then 1 = Ф/75−3∗ ; scoffl26 – if rlm=2 and trl=1 and tr=2 and chi=2 and (Ф/75)>(3.6*S), then 1 = Ф/75−3.6∗ ; scoffl27 – if rlm=2 and trl=1 and tr=2 and chi=3 and (Ф/75)>(4.5*S), then 1 = Ф/75−4.5∗ ; scoffl28 – if rlm=2 and trl=1 and tr=2 and chi=4 and (Ф/75)>(6*S), then 1 = Ф/75−6∗ ; scoffl29 – if rlm=2 and trl=1 and tr=3 and chi=1 and (Ф/75)>(1.335*S), then 1 = Ф/75−1.335∗ ; scoffl30 – if rlm=2 and trl=1 and tr=3 and chi=2 and (Ф/75)>(1.6*S), then 1 = Ф/75−1.6∗ ; scoffl31 – if rlm=2 and trl=1 and tr=3 and chi=3 and (Ф/75)>(2*S), then 1 = Ф/75−2∗ ; scoffl32 – if rlm=2 and trl=1 and tr=3 and chi=4
and (Ф/75)>(2.665*S), then 1 = Ф/75−2.665∗ ; scoffl33 – if rlm=2 and trl=1 and tr=4 and chi=1 and (Ф/75)>(2*S), then 1 = Ф/75−2∗ ; scoffl34 – if rlm=2 and trl=1 and tr=4 and chi=2 and (Ф/75)>(2.4*S), then 1 = Ф/75−2.4∗ ; scoffl35 – if rlm=2 and trl=1 and tr=4 and chi=3 and (Ф/75)>(3*S), then 1 = Ф/75−3∗ ; scoffl36 – if rlm=2 and trl=1 and tr=4 and chi=4 and (Ф/75)>(4*S), then 1 = Ф/75−4∗ ; scoffl37 – if rlm=2 and trl=1 and tr=5 and chi=1 and (Ф/75)>(0.5*S), then 1 = Ф/75−0.5∗ ; scoffl38 – if rlm=2 and trl=1 and tr=5 and chi=2 and (Ф/75)>(0.6*S), then 1 = Ф/75−0.6∗ ; scoffl39 – if rlm=2 and trl=1 and tr=5 and chi=3 and (Ф/75)>(0.75*S), then 1 = Ф/75−0.75∗ ; scoffl40 – if rlm=2 and trl=1 and tr=5 and chi=4 and (Ф/75)>(S), then 1 = Ф/75− ; scoffl41 – if rlm=1 and trl=2 and tr=1 and chi=1 and (Ф/47)>(3.2*S), then 1 = Ф/47−3.2∗ ; scoffl42 – if rlm=1 and trl=2 and tr=1 and chi=2 and (Ф/47)>(3.83*S), then 1 = Ф/47−3.83∗ ; scoffl43 – if rlm=1 and trl=2 and tr=1 and chi=3 and (Ф/47)>(4.79*S), then 1 = Ф/47−4.79∗ ; scoffl44 – if rlm=1 and trl=2 and tr=1 and chi=4 and (Ф/47)>(11.49*S), then 1 = Ф/47−11.49∗ ; scoffl47 – if rlm=1 and trl=2 and tr=2 and chi=3 and (Ф/47)>(6.39*S), then 1 = Ф/47−6.39∗ ; scoffl45 – if rlm=1 and trl=2 and tr=2 and chi=1 and (Ф/47)>(9.58*S), then 1 = Ф/47−9.58∗ ; scoffl46 – if rlm=1 and trl=2 and tr=2 and chi=2 and (Ф/47)>(14.37*S), then 1 = Ф/47−14.37∗ ; scoffl48 – if rlm=1 and trl=2 and tr=2 and chi=4 and (Ф/47)>(19.15*S), then 1 = Ф/47− 19.15∗ ; scoffl49 – if rlm=1 and trl=2 and tr=3 and chi=1 and (Ф/47)>(4.26*S), then 1 = Ф/47−4.26∗ ; scoffl50 – if rlm=1 and trl=2 and tr=3 and chi=2 and (Ф/47)>(5.11*S), then 1 = Ф/47−5.11∗ ; scoffl51 – if rlm=1 and trl=2 and tr=3 and chi=3 and (Ф/47)>(7.66*S), then 1 = Ф/47−7.66∗ ; scoffl55 – if rlm=1 and trl=2 and tr=4 and chi=3 and (Ф/47)>(9.58*S), then 1 = Ф/47−9.58∗ ; scoffl56 – if rlm=1 and trl=2 and tr=4 and chi=4 and (Ф/47)>(12.77*S), then 1 = Ф/47−12.77∗ ; scoffl57 – if rlm=1 and trl=2 and tr=5 and chi=1 and (Ф/47)>(1.6*S), then 1 = Ф/47−1.6∗ ; scoffl58 – if rlm=1 and trl=2 and tr=5 and chi=2 and (Ф/47)>(2.4*S), then 1 = Ф/47−2.4∗ ; scoffl60 – if rlm=1 and trl=2 and tr=5 and chi=4 and (Ф/47)>(3.2*S), then 1 = Ф/47 −3.2∗ ; scoffl61 – if rlm=2 and trl=2 and tr=1 and chi=1 and (Ф/47)>(1.92*S), then 1 = Ф/47−1.92∗ ; scoffl59 – if rlm=1 and trl=2 and tr=5 and chi=3 and (Ф/47)>(1.6*S), then 1 = Ф/47 −1.6∗ ; scoffl62 – if rlm=2 and trl=2 and tr=1 and chi=2 and (Ф/47)>(2.13*S), then 1 = Ф/47−2.13∗ ; scoffl70 – if rlm=2 and trl=2 and tr=3 and chi=2 and (Ф/47)>(2.555*S), then 1 = Ф/4 7−2.555∗ ; scoffl71 – if rlm=2 and trl=2 and tr=3 and chi=3 and (Ф/47)>(6.385*S), then 1 = Ф/47−6.385∗ ; scoffl77 – if rlm=2 and trl=2 and tr=5 and chi=1 and (Ф/47)>(0.8*S), then 1 = Ф/47−0.8∗ ; scoffl78 – if rlm=2 and trl=2 and tr=5 and chi=2 and (Ф/47)>(4.26*S), then 1 = Ф/47−4.26∗ ; scoffl73 – if rlm=2 and trl=2 and tr=4 and chi=1 and (Ф/47)>(3.195*S), then 1 = Ф/4 7−3.195∗ ; scoffl74 – if rlm=2 and trl=2 and tr=4 and chi=2 and (Ф/47)>(3.83*S), then 1 = Ф/47−3.83∗ ; scoffl75 – if rlm=2 and trl=2 and tr=4 and chi=3 and (Ф/47)>(4.79*S), then 1 = Ф/47−4.79∗ ; scoffl76 – if rlm=2 and trl=2 and tr=4 and chi=4 and (Ф/47)>(6.39*S), then 1 = Ф/47−6.39∗ ; scoffl52 – if rlm=1 and trl=2 and tr=3 and chi=4 and (Ф/47)>(8.52*S), then 1 = Ф/47−8.52∗ ; scoffl53 – if rlm=1 and trl=2 and tr=4 and chi=1 and (Ф/47)>(1.915*S), then 1 = Ф/47−1.915∗ ; scoffl63 – if rlm=2 and trl=2 and tr=1 and chi=3 and (Ф/47)>(2.395*S), then 1 = Ф/47− 2.395∗ ; scoffl64 – if rlm=2 and trl=2 and tr=1 and chi=4 and (Ф/47)>(6.39*S), then 1 = Ф/47−6.39∗ ; scoffl54 – if rlm=1 and trl=2 and tr=4 and chi=2 and (Ф/47)>(0.96*S), then 1 = Ф/47−0.96∗ ; scoffl79 – if rlm=2 and trl=2 and tr=5 and chi=3 and (Ф/47)>(3.195*S), then 1 = Ф/47− 3.195∗ ; scoffl65 – if rlm=2 and trl=2 and tr=2 and chi=1 and (Ф/47)>(3.195*S), then 1 = Ф/47− 3.195∗ ; scoffl72 – if rlm=2 and trl=2 and tr=3 and chi=4 and (Ф/47)>(4.79*S), then 1 = Ф/47−4.79∗ ; scoffl66 – if rlm=2 and trl=2 and tr=2 and chi=2 and (Ф/47)>(5.745*S), then 1 = Ф/4 7−5.745∗ ; scoffl67 – if rlm=2 and trl=2 and tr=2 and chi=3 and (Ф/47)>(7.185*S), then 1 = Ф/47− 7.185∗ ; scoffl68 – if rlm=2 and trl=2 and tr=2 and chi=4 and (Ф/47)>(9.575*S), then 1 = Ф/47− 9.575∗ ; scoffl69 – if rlm=2 and trl=2 and tr=3 and chi=1 and (Ф/47)>(1.2*S), then 1 = Ф/47−1.2∗ ; scoffl80 – if rlm=2 and trl=2 and tr=5 and chi=4 and (Ф/47)>(1.6*S), then 1 = Ф/47 −1.6∗ ; scoffl81 – if rlm=1 and trl=3 and tr=1 and chi=1 and (Ф/15)>(10*S), then 1 = Ф/15−10∗ ; scoffl82 – if rlm=1 and trl=3 and tr=1 and chi=2 and (Ф/15)>(15*S), then 1 = Ф/15 −15∗ ; scoffl84 – if rlm=1 and trl=3 and tr=1 and chi=4 and (Ф/15)>(20*S), then 1 = Ф/15 −20∗ ; scoffl85 – if rlm=1 and trl=3 and tr=2 and chi=1 and (Ф/15)>(12*S), then 1 = Ф/15−12∗ ; scoffl83 – if rlm=1 and trl=3 and tr=1 and chi=3 and (Ф/15)>(30*S), then 1 = Ф/15 −30∗ ; scoffl86 – if rlm=1 and trl=3 and tr=2 and chi=2 and (Ф/15)>(36*S), then 1 = Ф/15 −36∗ ; scoffl87 – if rlm=1 and trl=3 and tr=2 and chi=3 and (Ф/15)>(45*S), then 1 = Ф/15 −45∗ ; scoffl88 – if rlm=1 and trl=3 and tr=2 and chi=4 and (Ф/15)>(60*S), then 1 = Ф/15 −60∗ ; scoffl89 – if rlm=1 and trl=3 and tr=3 and chi=1 and (Ф/15)>(13.34*S), then 1 = Ф/15−13.34∗ ; scoffl90 – if rlm=1 and trl=3 and tr=3 and chi=2 and (Ф/15)>(16*S), then 1 = Ф/15−16∗ ; scoffl91 – if rlm=1 and trl=3 and tr=3 and chi=3 and (Ф/15)>(20*S), then 1 = Ф/15 −20∗ ; scoffl92 – if rlm=1 and trl=3 and tr=3 and chi=4 and (Ф/15)>(20*S), then 1 = Ф/15−20∗ ; scoffl94 – if rlm=1 and trl=3 and tr=4 and chi=2 and (Ф/15)>(24*S), then 1 = Ф/15 −24∗ ; scoffl95 – if rlm=1 and trl=3 and tr=4 and chi=3 and (Ф/15)>(26.67*S), then 1 = Ф/15−26.67∗ ; scoffl93 – if rlm=1 and trl=3 and tr=4 and chi=1 and then 1 = Ф/15−5∗ ; scoffl98 – if rlm=1 and trl=3 and tr=5 and chi=2 and (Ф/15)>(6*S), then 1 = (Ф/15)>(30*S), then 1 = Ф/15 −30∗ ; scoffl96 – if rlm=1 and trl=3 and tr=4 and chi=4 and (Ф/15)>(40*S), then 1 = Ф/15−40∗ ; scoffl97 – if rlm=1 and trl=3 and tr=5 and chi=1 and (Ф/15)>(5*S), rlm=2 and trl=3 and tr=1 and chi=1 and (Ф/15)>(5*S), then 1 = Ф/15−5∗ ; scoffl102 – if rlm=2 and trl=3 and tr=1 and chi=2 and (Ф/15)>(6*S), then 1 = Ф/15−6∗ ; scoffl103 – if rlm=2 and trl=3 and tr=1 and chi=3 and (Ф/15)>(7.5*S), then 1 = Ф/15−7.5∗ ; scoffl104 – if rlm=2 and trl=3 and tr=1 and chi=4 and (Ф/15)>(10*S), then 1 = Ф/15−10∗ ; scoffl105 – if rlm=2 and trl=3 and tr=2 and chi=1 and Ф/15−6∗ ; scoffl99 – if rlm=1 and trl=3 and tr=5 and chi=3 and (Ф/15)>(7.5*S), then 1 = Ф/15−7.5∗ ; scoffl100 – if rlm=1 and trl=3 and tr=5 and chi=4 and (Ф/15)>(10*S), then 1 = Ф/15−10∗ ; scoffl101 – if (Ф/15)>(15*S), then 1 = Ф/15−15∗ ; scoffl106 – if rlm=2 and trl=3 and tr=2 and chi=2 and (Ф/15)>(18*S), then 1 = Ф/15 −18∗ ; scoffl107 – if rlm=2 and trl=3 and tr=2 and chi=3 and (Ф/15)>(22.5*S), then 1 = Ф/15−22.5∗ ; scoffl108 – if rlm=2 and trl=3 and tr=2 and chi=4 and (Ф/15)>(30*S), then 1 = Ф/15−30∗ ; scoffl109 – if rlm=2 and trl=3 and tr=3 and chi=1 and (Ф/15)>(6.67*S), then 1 = Ф/15−6.67∗ ; scoffl110 – if rlm=2 and trl=3 and tr=3 and chi=2 and (Ф/15)>(8*S), then 1 = Ф/15−8∗ ; scoffl111 – if rlm=2 and trl=3 and tr=3 and chi=3 and (Ф/15)>(10*S), then 1 = Ф/15−10∗ ; scoffl112 – if rlm=2 and trl=3 and tr=3 and chi=4 and (Ф/15)>(13.335*S), then 1 = Ф/15−13.335∗ ; scoffl113 – if rlm=2 and trl=3 and tr=4 and chi=1 and (Ф/15)>(10*S), then 1 = Ф/15−10∗ ; scoffl114 – if rlm=2 and trl=3 and tr=4 and chi=2 and (Ф/15)>(12*S), then 1 = Ф/15−12∗ ; scoffl115 – if rlm=2 and trl=3 and tr=4 and chi=3 and (Ф/15)>(15*S), then 1 = Ф/15−15∗ ; scoffl116 – if rlm=2 and trl=3 and tr=4 and chi=4 and (Ф/15)>(20*S), then 1 = Ф/15−20∗ ; scoffl117 – if rlm=2 and trl=3 and tr=5 and chi=1 and (Ф/15)>(2.5*S), then 1 = Ф/15−2.5∗ ; scoffl118 – if rlm=2 and trl=3 and tr=5 and chi=2 and (Ф/15)>(3*S), then 1 = Ф/15−3∗ ; scoffl119 – if rlm=2 and trl=3 and tr=5 and chi=3 (Ф/15)>(5*S), then 1 = Ф/15−5∗ ; scoffl121 – if rlm=1 and trl=4 and tr=1 and chi=1 and (Ф/12)>(12.5*S), then 1 = Ф/12−12.5∗ ; scoffl122 – if rlm=1 and trl=4 and tr=1 and chi=2 and and (Ф/15)>(3.75*S), then 1 = Ф/15−3.75∗ ; scoffl120 – if rlm=2 and trl=3 and tr=5 and chi=4 and (Ф/12)>(15*S), then 1 = Ф/12−15∗ ; scoffl123 – if rlm=1 and trl=4 and tr=1 and chi=3 and (Ф/12)>(18.75*S), then 1 = Ф/12−18.75∗ ; scoffl124 – if rlm=1 and trl=4 and tr=1 and chi=4 and (Ф/12)>(25*S), then 1 = Ф/12−25∗ ; scoffl125 – if rlm=1 and trl=4 and tr=2 and chi=1 and (Ф/12)>(45*S), then 1 = Ф/12−45∗ ; scoffl127 – if rlm=1 and trl=4 and tr=2 and chi=3 and (Ф/12)>(56.25*S), then 1 = Ф/12−56.25∗ ; scoffl128 – if rlm=1 and trl=4 and tr=2 and chi=4 and (Ф/12)>(75*S), then 1 = Ф/12−75∗ ; scoffl129 – if rlm=1 and trl=4 and tr=3 and chi=1 and (Ф/12)>(16.67*S), then 1 = Ф/12−16.67∗ ; scoffl130 – if rlm=1 and trl=4 and tr=3 and chi=2 and (Ф/12)>(37.5*S), then 1 = Ф/12−37.5∗ ; scoffl126 – if rlm=1 and trl=4 and tr=2 and chi=2 and (Ф/12)>(33.34*S), then 1 = Ф/12−33.34∗ ; scoffl133 – if rlm=1 and trl=4 and tr=4 and chi=1 and (Ф/12)>(20*S), then 1 = Ф/12−20∗ ; scoffl131 – if rlm=1 and trl=4 and tr=3 and chi=3 and (Ф/12)>(25*S), then 1 = Ф/12 −25∗ ; scoffl132 – if rlm=1 and trl=4 and tr=3 and chi=4 and (Ф/12)>(25*S), then 1 = Ф/12−25∗ ; scoffl134 – if rlm=1 and trl=4 and tr=4 and chi=2 and (Ф/12)>(30*S), then 1 = Ф/12 −30∗ ; scoffl135 – if rlm=1 and trl=4 and tr=4 and chi=3 and (Ф/12)>(37.5*S), then 1 = Ф/12−37.5∗ ; scoffl136 – if rlm=1 and trl=4 and tr=4 and chi=4 and (Ф/12)>(50*S), then 1 = Ф/12−50∗ ; scoffl137 – if rlm=1 and trl=4 and tr=5 and chi=1 and (Ф/12)>(6.25*S), then 1 = Ф/12−6.25∗ ; scoffl138 – if rlm=1 and trl=4 and tr=5 and chi=2 and (Ф/12)>(7.5*S), then 1 = Ф/12−7.5∗ ; scoffl139 – if rlm=1 and trl=4 and tr=5 and chi=3 and (Ф/12)>(12.5*S), then 1 = Ф/12−12.5∗ ; scoffl141 – if rlm=2 and trl=4 and tr=1 and chi=1 and (Ф/12)>(6.25*S), then 1 = Ф/12−6.25∗ ; scoffl142 – if rlm=2 and trl=4 and tr=1 and chi=2 and (Ф/12)>(7.5*S), then 1 = Ф/12−7.5∗ ; scoffl143 – if rlm=2 and trl=4 and tr=1 and chi=3 and (Ф/12)>(9.375*S), then 1 = Ф/12−9.375∗ ; scoffl144 – if rlm=2 and trl=4 and tr=1 and chi=4 and (Ф/12)>(9.38*S), then 1 = Ф/12−9.38∗ ; scoffl140 – if rlm=1 and trl=4 and tr=5 and chi=4 and (Ф/12)>(12.5*S), then 1 = Ф/12−12.5∗ ; scoffl145 – if rlm=2 and trl=4 and tr=2 and chi=1 and (Ф/12)>(18.75*S), then 1 = Ф/1 2−18.75∗ ; scoffl146 – if rlm=2 and trl=4 and tr=2 and chi=2 and (Ф/12)>(22.5*S), then 1 = Ф/12−22.5∗ ; scoffl147 – if rlm=2 and trl=4 and tr=2 and chi=3 and (Ф/12)>(28.125*S), then 1 = Ф/12−28.125∗ ; scoffl148 – if rlm=2 and trl=4 and tr=2 and chi=4 and (Ф/12)>(37.5*S), then 1 = Ф/12−37.5∗ ; scoffl149 – if rlm=2 and trl=4 and tr=3 and chi=1 and (Ф/12)>(8.335*S), then 1 = Ф/1 2−8.335∗ ; scoffl150 – if rlm=2 and trl=4 and tr=3 and chi=2 and (Ф/12)>(12.5*S), then 1 = Ф/12−12.5∗ ; scoffl152 – if rlm=2 and trl=4 and tr=3 and chi=4 and (Ф/12)>(16.67*S), then 1 = Ф/1 2−16.67∗ ; scoffl153 – if rlm=2 and trl=4 and tr=4 and chi=1 and (Ф/12)>(10*S), then 1 = Ф/12−10∗ ; scoffl151 – if rlm=2 and trl=4 and tr=3 and chi=3 and (Ф/12)>(12.5*S), then 1 = Ф/12−12.5∗ ; scoffl154 – if rlm=2 and trl=4 and tr=4 and chi=2 and (Ф/12)>(15*S), then 1 = (Ф/12)>(18.75*S), then 1 = (Ф/12)>(25*S), then 1 = (Ф/12)>(3.125*S), then 1 = (Ф/12)>(3.75*S), then 1 = (Ф/12)>(4.69*S), then 1 = (Ф/12)>(6.25*S), then 1 = all the lamps that are on.
Ф/12−15∗ ; scoffl155 – if rlm=2 and trl=4 and tr=4 and chi=3 and
Ф/12−18.75∗ ; scoffl156 – if rlm=2 and trl=4 and tr=4 and chi=4 and Ф/12−25∗ ; scoffl157 – if rlm=2 and trl=4 and tr=5 and chi=1 and Ф/12−3.125∗ ; scoffl158 – if rlm=2 and trl=4 and tr=5 and chi=2 and Ф/12−3.75∗ ; scoffl159 – if rlm=2 and trl=4 and tr=5 and chi=3 and Ф/12−4.69∗ ; scoffl160 – if rlm=2 and trl=4 and tr=5 and chi=4 and Ф/12−6.25∗ ; scoffl161 – if rlm=3 and (trl=1 or trl=2 or trl=3 or trl=4) and (tr=1 or tr=2 or tr=3 or tr=4 or tr=5) and (chi=1 or chi=2 or chi=3 or chi=4) and (Ф/75)>0, then turn off
The set of scenarios for calculating the number of lamps that must be turned off to ensure the required
level of luminosity, represented by formula (
After forming the set of alternatives, the residential luminosity control subsystem of «Smart House» cyber-physical system must evaluate all available scenarios in order to choose the best alternative(s) – for example, to give priority to the scenario with the maximum use of natural lighting and the minimum use of artificial lighting to ensure maximum energy efficiency.
Then method of recognizing the situations and supporting the decision-making in the residential luminosity control subsystem of «Smart House» cyber-physical system (starts to execute or every 5 minutes, if the user does not change the lighting mode, since the subsystem must constantly respond to changes in lighting, or immediately when the lighting mode is changed by the user) will consist of the following steps:
measurement by the sensors of the residential luminosity control subsystem of «Smart House» cyber-physical system of the luminous flux with available lighting (for the first iteration after changing the lighting mode, the subsystem turns off all artificial lighting and measures the luminous flux only for natural lighting; measurements are performed either every 5 minutes or immediately when the lighting mode is changed by the user) – the measured value is assigned to variable Ф
if asd=1, then check the position of the blinds (if the blinds are fully open, then the variable bp is assigned 0; if the blinds are completely closed, then the variable bp is assigned 1), else, if asd=2, then check the position of the roller shutters (if roller shutters are fully open, then the variable rsp is assigned 0; if the roller shutters are completely closed, then the variable rsp is assigned 1), else, if asd=3, then check the position of the curtains (if the curtains are fully open, then the variable cp is assigned 0; if the curtains are completely closed, then the variable cp is assigned 1) search of the scenario according to the values of the variables rlm, tr, chi, S and Ф in the subsets SCPS, SCPE, SCPIS if according to the values of the variables rlm, tr, chi, S and Ф the residential luminosity control subsystem of «Smart House» cyber-physical system» found a scenario in SCPS subset, then at this moment in time the luminosity corresponds to the norm, so the subsystem does not perform any actions if according to the values of the variables rlm, tr, chi, S and Ф the residential luminosity control subsystem of «Smart House» cyber-physical system found a scenario in SCPIS subset, then: 5.1. at this moment of time, the luminosity is insufficient, so the subsystem must perform the addition of luminous flux 5.2. if asd=0, then proceed to step 5.5 5.3. if asd=1 and bp=0, then proceed to step 5.5, else, if asd=2 and rsp=0, then proceed to step 5.5, else, if asd=3 and cp=0, then proceed to step 5.5 5.4. if asd=1 and bp≠0, then turn on the blinds by 1 degree and go to step 1, else, if asd=2 and rsp≠0, then raise the roller shutters to open by 1 cm and go to step 1, else, if asd=3 and cp≠0, hen move the curtains to open by 1 cm each and go to step 1 5.5. turning on additional lamps: the scenario is searched according to the values of the variables rlm, trl, tr, chi, S, Pl and Ф in the set SCAL (if trl=1, then the scenario is searched in SCALLED subset; if trl=2, then the scenario is searched in SCALES subset; if trl=3, then the scenario is searched in SCALH subset; if trl=4, then the scenario is searched in SCALI subset); if the number of additional lamps (k) calculated according to the found scenario is available (k≤ak), then the subsystem turns on k lamps, else it issues a message about the impossibility of providing the required level of luminosity with the existing lamps and a recommendation to add (k-ak) lamps in this room 6. if according to the values of the variables rlm, tr, chi, S and Ф the residential luminosity control subsystem of «Smart House» cyber-physical system found a scenario in SCPE subset, then: 6.1. at this moment in time, there is excess luminosity, so the subsystem must perform a reduction of the luminous flux 6.2. if asd=0, then proceed to step 6.5 6.3. if asd=1 and bp=1, then then proceed to step 6.5, else, if asd=2 and rsp=1, then proceed to step 6.5, else, if asd=3 and cp=1, then proceed to step 6.5 6.4. if asd=1 and bp≠1, then turn off the blinds by 1 degree and go to step 1, else, if asd=2 and rsp≠1, then lower the roller shutters to сlose by 1 cm and go to step 1,else, if asd=3 and cp≠1, then move the curtains to close by 1 cm each and go to step 1 6.5. turning off extra lamps: the scenario is searched according to the values of the variables rlm, trl, tr, chi, S, Pl and Ф in the set SCOFFL (if trl=1, then the scenario is searched in SCOFFLLED subset; if trl=2, then the scenario is searched in SCOFFLES subset; if trl=3, then the scenario is searched in SCOFFLH subset; if trl=4, then the scenario is searched in SCOFFLI subset); if the number of lamps that must be turned off (k1), calculated according to the found scenario, is available (k1≤ak), then the subsystem turns off k1 lamps, else it issues a message about the impossibility of providing the required level of luminosity with the available means and a recommendation to add additional shading devices in this room The developed method of recognizing the situations and supporting the decision-making in the residential luminosity control subsystem of «Smart House» cyber-physical system provides the user of the subsystem with the ability to quickly and conveniently configure the necessary lighting mode.
Let's consider the operation of the proposed method for setting up the residential luminosity control subsystem of «Smart House» cyber-physical system for each room and method of recognizing the situations and supporting the decision-making in the residential luminosity control subsystem of «Smart House» cyber-physical system.
For experiment 1, the user configured the residential luminosity control subsystem of «Smart House» cyber-physical system for the room "working cabinet" according to the method for setting up the residential luminosity control subsystem of «Smart House» cyber-physical system for each room. For this purpose, the user selected the type of room - "working cabinet" (tr=4), selected the ceiling height interval of the room - "2.5-2.7 m" (chi=1), entered the value of the area of the room - "18 m2" (S=18), selected type of lamps used in the room - "halogen" (trl=3), entered the power value of one used lamp "50 W" (Pl=50), entered the number of lamps used in the room - "8" (ak=8), selected the availadle in the room shading device - "no shading devices are used" (asd=0), selected the start room lighting mode - "activity" (rlm=1).
Then, in accordance with step 1 of the method of recognizing the situations and supporting the decision-making in the residential luminosity control subsystem of «Smart House» cyber-physical system, measurements of the luminous flux were made with the sensors of the subsystem with available natural lighting (Ф=1900 lumens). Since asd=0, no action is taken in step 2 of the method. According to step 3 of the method, the scenario is searched – since rlm=1, tr=4, chi=1, S=18 and Ф=1900, the scenario from SCPIS subset is chosen: scp39 – if rlm=1 and tr=4 and chi=1 and Ф<300*S (1900<5400), then the available luminosity is insufficient. There is a transition to step 5 of the method. According to 5.1, a decision is made that at the moment the available luminosity is insufficient, so the subsystem must perform the addition of luminous flux. According to 5.2, since asd=0, the transition to step 5.5 is performed. According to 5.5, additional lamps are turned on: the scenario is searched – since rlm=1, trl=3, tr=4, chi=1, S=18, Pl=50 and Ф=1900, the scenario from SCALH subset is selected: scal93 – if rlm=1 and trl=3 20∗−Ф /15 . So, = 20∗18−1900/15 50 = and tr=4 and chi=1 and (Ф/15)<(20*S) (126.67<360), then = (5<8), then subsystem turned on 5 lamps. 5. Since the number of additional lamps calculated according to the found scenario (k=5) is available
For experiment 2, the user configured the residential luminosity control subsystem of «Smart House» cyber-physical system for the room "bedroom" according to the method for setting up the residential luminosity control subsystem of «Smart House» cyber-physical system for each room. For this purpose, the user selected the type of room - "bedroom" (tr=3), selected the ceiling height interval of the room "2.5-2.7 m" (chi=1), entered the value of the area of the room - «25 m2» (S=25), selected type of lamps used in the room - «LED» (trl=1), entered the power value of one used lamp - «10 W» (Pl=10), entered the number of lamps used in the room - «10» (ak=10), selected the availadle in the room shading device "blinds" (asd=1), selected the start room lighting mode - "relax" (rlm=2).
Then, in accordance with step 1 of the method of recognizing the situations and supporting the decision-making in the residential luminosity control subsystem of «Smart House» cyber-physical system, measurements of the luminous flux were made with the sensors of the subsystem with available natural lighting (Ф=300 lumens). At the step2, since asd=1, then the position of the blinds is checked (since the blinds are completely closed, then bp=1). According to step 3 of the method, the scenario is searched – since rlm=2, tr=3, chi=1, S=25 and Ф=300, the scenario from SCPIS subset is chosen: scp87 – if rlm=2 and tr=3 and chi=1 and Ф<100*S (300<2500), then the available luminosity is insufficient. There is a transition to step 5 of the method. According to 5.1, a decision is made that at the moment the available luminosity is insufficient, so the subsystem must perform the addition of luminous flux. According to 5.4, since asd=1 та bp≠0, then turn on the blinds by 1 degree and go to step 1. The subsystem performed this cycle (steps 1-2-3-5.1-5.4 of the method) until the blinds were fully opened.
When the blinds are fully opened (bp=0) luminous flux measured in step 1 of the method is 2300 lumens (Ф=2300 lumens). At the step2, since asd=1, then the position of the blinds is checked (since the blinds are fully open, then bp=0). According to step 3 of the method, the scenario is searched – since rlm=2, tr=3, chi=1, S=25 and Ф=300, the scenario from SCPIS suset is chosen: scp87 – if rlm=2 and tr=3 and chi=1 and Ф<100*S (2300<2500), then the available luminosity is insufficient. There is a transition to step 5 of the method. According to 5.1, a decision is made that at the moment the available luminosity is insufficient, so the subsystem must perform the addition of luminous flux. Since asd≠0, then no action occurs in step 5.2 of the method. According to 5.3, since asd=1 and bp=0, the transition to step 5.5 is performed. According to 5.5, additional lamps are turned on: the scenario is searched – since rlm=2, trl=1, tr=3, chi=1, S=25, Pl=10 and Ф=2300, the scenario from SCALLED subset is selected: scal29 – if rlm=2 and trl=1 and tr=3 and chi=1 and (Ф/75)<(1.335*S) (30.67<33.38), then = 1.335∗−Ф /75 . So = 1.335∗25−2300/75 10
= 1. Since the number of additional lamps calculated according to the found scenario (k=1) is available (1<10), then subsystem turned on 1 lamp.
The conducted experiments proved, that the developed method provides for the recognition of various situations in the lighting scenario (sufficient light flow, insufficient light flow, excess light flow – according to the current lighting standards) and support for decision-making regarding the lighting of the home according to the lighting mode set by the user (reflecting/closing shading devices, turning on/off the lamps – depending on the recognized situation).
Currently, the urgent problem is to ensure the ability of recognizing the situations and supporting the decision-making in the «Smart House» cyber-physical system.
The conducted survey of research showed that: known solutions provide for situation recognition and decision-making support only, as a rule, for one or two subsystems of the "Smart House" cyber-physical system, and also do not provide for the possibility of assessing the sufficiency of information for decisionmaking in the "Smart House" cyber-physical system house". Therefore, the goal of our overall research is recognizing the situations and supporting the decision-making for all 5 subsystems of the «Smart House» cyber-physical system, with an assessment of the sufficiency of information for all decisions by developing a comprehensive situation recognition and decision support system in the «Smart House» cyber-physical system, and the purpose of this study is recognizing the situations and supporting the decision-making in the residential luminosity control subsystem of «Smart House» cyber-physical system.
The developed in this paper method for setting up the residential luminosity control subsystem of «Smart House» cyber-physical system for each room allows to enter the necessary parameters for further automatic operation of the residential luminosity control subsystem of «Smart House» cyber-physical system.
The developed method of recognizing the situations and supporting the decision-making in the residential luminosity control subsystem of «Smart House» cyber-physical system provides the user of the subsystem with the ability to quickly and conveniently configure the necessary lighting mode. In addition, the developed method provides for the recognition of various situations in the lighting scenario (sufficient light flow, insufficient light flow, excess light flow – according to the current lighting standards) and support for decision-making regarding the lighting of the home according to the lighting mode set by the user (reflecting/closing shading devices, turning on/off the lamps – depending on the recognized situation).