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    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>Application of Multi-Agent Approach at Development of the Planning System of Oil Products Supply of Gas Stations Network</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Olga P. Aksyonova</string-name>
          <email>wiper99@mail.ru</email>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Hambardzum L. Ayvazyan</string-name>
          <email>hambardzum.ayvazyan@gmail.com</email>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Elena F. Smoliy</string-name>
          <email>smoliylena@yandex.ru</email>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>Ural Federal University n. a. the, first President of Russia B.N.</institution>
          ,
          <addr-line>Yeltsin, Ekaterinburg</addr-line>
          ,
          <country country="RU">Russia</country>
        </aff>
      </contrib-group>
      <abstract>
        <p>The results of application of multi-agent technologies have already proved themselves in various types of logistics: procurement, transport, sales, production, warehousing, information. The analysis of decision support systems (DSS) did not allow to identify in the open sources of specialized DSS planning of fuel transportation. Therefore, problem-oriented systems used in logistics, such as AnyLogic, ARIS, Business Studio, G2, Magenta, BPsim, were considered as substitute products. From the point of view of the problem being solved, in their advantages and disadvantages were determined.</p>
      </abstract>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>-</title>
      <p>
        1 Introduction
Consider the use of simulation systems for logistics problems. The complex of simulation models for the tasks of fleet
and vehicle management is implemented in the AnyLogic simulation environment [
        <xref ref-type="bibr" rid="ref1">1</xref>
        ]. One of the main tasks of a
corporate information system (CIS, this term means the totality of all information systems (IS) and their modules used in
an enterprise) is the collection of information generated and used by various departments and employees formed by
various modules and subsystems. Those. creation of a common information space of the company, ideally covering all
corporate information. Over the past decades, the area of applicability of simulation systems (SIM) has significantly
expanded:
      </p>
      <p>First, simulation systems or software simulation models are embedded in the control circuit of the enterprise or
organization, are integrated via data exchange interfaces with sensors, controllers, corporate information systems and
thereby receive data on the current situation at the management site.</p>
      <p>Secondly, the majority of SIM in the course of a simulation experiment allow you to change / update the original data
and adapt the solution based on the situation.</p>
      <p>Third, in most applied decision support systems that use a simulation subsystem or simulation model, formalization or
decision improvement subsystems based on heuristics are used to formalize the knowledge of decision makers and
control algorithms.</p>
      <p>
        Such projects for the implementation of hybrid DSS (integrating a simulation model and a heuristic or optimization
block) for logistics, production management and construction are described in [
        <xref ref-type="bibr" rid="ref2 ref3 ref4 ref5">2–5</xref>
        ]. Thus, it is possible to speak about
open modules / systems of simulation modeling. It is also necessary to note the active use in the decision support systems
of elements of expert systems (knowledge bases (KB) and logical inference machines (LIM) and ontologies.
      </p>
      <p>
        As a means of simulation, the following systems can also be used: Simio simulation system; Business Studio business
process modeling and ARIS; G2 Dynamic Expert System with ReThink simulation module; complex of the BPsim family,
consisting of the BPsim.MAS dynamic situation simulation system and the BPsim.DSS decision support system [
        <xref ref-type="bibr" rid="ref2 ref3 ref4 ref5">2-5</xref>
        ].
The closest classical apparatus for planning fuel transportation is the transport problem [17-18]. In the course of the analysis
of the applicability of the transport task, the following limitations of the subject area were revealed: 1) the multiplicity of
the cargo transportation volume should be a multiple of the volume of the section; 2) the cargoes are not homogeneous and
each cargo (depending on the type of fuel) can be transported in one section of the tank truck; 3) the sequence of fuel
draining is not taken into account (depending on the design features of the drainage devices, the order of discharge of the
sections may differ); 4) there is no time component in the form of start and end times of flights, loading / unloading times;
5) there is no division into types of goods or their marking (fuel types (for example, 92, 95, 98, Disel, 80), 6) the presenc e
of several sections in the fuel tank truck is not taken into account; 7) do not take into account the physical limitations of
gasoline tankers for filling stations; 8) there is no possibility to take into account the preferences of petrol tankers for filling
stations; 9) does not take into account the possibility of servicing close gas stations by a gasoline tanker per flight. These
restrictions are proposed to be taken into account using the multi-agent approach. The following approaches and models
of multi-agent planning [
        <xref ref-type="bibr" rid="ref10 ref11 ref2 ref3 ref4 ref5 ref8 ref9">2-5, 8-13</xref>
        ] were investigated: 1) multi-agent model of the process of resource transformation
(MAPP) [
        <xref ref-type="bibr" rid="ref2 ref3 ref4 ref5">2-5</xref>
        ]; 2) network of needs-opportunities (PV network) [
        <xref ref-type="bibr" rid="ref6 ref7">6-7</xref>
        ] V.А. Wittich, P.O. Skobelev, G.A. Rzhevsky; 3)
model of active and passive transducers (AMS) Klebanov B.I. and I.M. Moskalev [14-15], as well as its change in the
system of modeling of socio-economic development; 4) the approach Borshcheva AV, Karpova Yu.G., implemented in the
AnyLogic [
        <xref ref-type="bibr" rid="ref1">1</xref>
        ] modeling system.
      </p>
      <p>To solve the problem of planning the delivery, a hybrid method was developed based on the integration of the transport
problem, the theory of scheduling, the apparatus of simulation, and expert modeling, multi-agent systems (MAPP). The
method consists of the following steps:
1. Calculation (determination) of the fuel needs at the filling stations of the multiple capacity of the minimum gasoline
tank truck. The forecast of requirements for the remaining capacities of the filling stations, in which for the second
half of the shift the demand, which is a multiple of the capacity of the minimum gasoline tank truck, can enter
into%. The solution of the transport task with regard to the planning of deliveries from oil depots to gas stations
(without linkage of gasoline tankers).
2. Processing of the supporting solution from the transport task 1: All the needs are ranked (the most urgent needs are
identified - what we carry earlier, and what is later) - according to the priority. The definition for each order (supply
requirements) of the supplier (warehouse / logistics center - tank depot) and the route of delivery.
3. Processing of the supporting solution from the transport task 2: Creation of flights (transportation plan). Assigning
for each order a vehicle and determining the time of execution (the times of the beginning and end of the voyage).
At this stage, an intelligent scheduling agent is used with a frame knowledge base that takes into account the statistics
of fuel sales from the gas station, the physical limitations of gas stations and gasoline tankers (by their compatibility
and service capabilities), and also the preferences for use.</p>
    </sec>
    <sec id="sec-2">
      <title>Verification of the logistics plan by the logistics specialist / dispatcher.</title>
      <p>Verification and adjustment of the export plan on the multi-agent simulation model of the resource conversion
process.
6. Implementation of the plan.
7. In the conditions of external influences leading to dispatching situations, the expert's plan for the dispatch is being
adjusted by the expert (dispatcher). The main criterion for the success of this task is to ensure the uninterrupted
operation of the network of filling stations.
3</p>
      <sec id="sec-2-1">
        <title>Program Realization Of a Hybrid Method Of Fuel Delivery Planning</title>
        <p>
          Based on the hybrid decision-making method for fuel distribution planning through the filling station network, decision
support system (DSS) was developed as a result of the integration of the "Planner", BPsim.MAS (multi-agent modeling
system) and BPsim.DSS (frame intelligent system) systems. This DSS is problem-oriented and supports manual, automated
and automatic updating of the plan for export by the expert (dispatcher). The architecture of the MAPP agent is based on
the hybrid architecture of InteRRaP [
          <xref ref-type="bibr" rid="ref5">5, 16</xref>
          ] and is shown in Figure 1.
The model of the MAPP / DSS according to the model of the MAPP and the hybrid architecture of InteRRaP allows to
develop solutions both with their verification on a multi-agent simulation model and without it (in this case, real data from
the corporate information system is received by the "Scheduler" agent's sensors, and the result of its operation formed plan)
is issued through effectors. According to the InteRRaP-architecture, the model of the MAPP agent consists of 4 levels [
          <xref ref-type="bibr" rid="ref5">5</xref>
          ]:
1. The model of the external environment corresponds to the following elements of the MAPP: converters, resources,
reactive-intelligent agents, facilities, parameters, targets. The external environment performs the following functions:
generates tasks, transmits messages between agents, processes agent commands (performs resource conversion),
changes the current state of the external environment (transfers Sn to Sn + 1). The external environment is a model
of the control object, built from the elements of the MAPP. The control object model describes the processes of fuel
consumption at filling stations, the work processes of filling stations, oil depots, and fuel supply processes.
2. Components of the interface with the outside world and reactive behavior are implemented in the form of the agent's
production rules (tactical KB) base and the inference engine (the simulator algorithm).
3. The level of local planning is designed to find effective solutions. The component of local planning is implemented
on the basis of the frame KB (it is a frame-based - in the figure the strategic KB).
4. The subsystem of cooperation with other agents allows integration with hybrid agents of the MAPP, as well as with
external information systems.
        </p>
        <p>
          The design of the conceptual domain model [
          <xref ref-type="bibr" rid="ref2 ref3 ref4 ref5">2-5</xref>
          ] and the knowledge base (KB or DB) of the agent's local planning is
implemented on the basis of the extension of the UML class diagram. The mechanism of logical inference for this KB is
realized through the diagram of solution search, constructed on the basis of the sequence diagram [
          <xref ref-type="bibr" rid="ref6">6</xref>
          ]. Each decision in the
KB is an agent's action plan. Each plan consists of a set of rules from the base of the reactive component. Based on the
solution found, the agent's current plan is updated. The search of all variants contained in the KB forms the library of agent
plans.
        </p>
        <p>Application Of Frame Approach In The Program Agent “Scheduler”
An example of a solution search chart for the sub task manager for distribution of requests-needs from gas stations in
gasoline tank trucks in the visual designer of the logical output engine BPsim.DSS for the "Scheduler" agent (figure 2).</p>
      </sec>
    </sec>
    <sec id="sec-3">
      <title>The visual interface of the manager of the agent "Scheduler" is shown in fig. 3.</title>
      <p>The use of the frame output engine and the visual interface of the dispatcher allows you to flexibly resolve the situations
associated with dispatching. Dispatching situations that require minimal plan adjustments are handled by the decision
maker using a visual interface. In cases of significant adjustment of the plan or complete rebuilding - the script of the
inference engine is used. The results of computational experiments of the simulation model are compared with the actual
data of the transfer and showed the convergence of the results in part of the flights and the volume of fuel transportation.
The results of the analysis prove that the method implemented in the DSS shows a greedy strategy for the number of flights
and the volume of traffic (on average 13% higher). However, the method is inferior to the actions of the dispatcher in terms
of the volume of fuel given by the export strategy by 1.4%. As a result of the implementation, multi-agent models of the
supply chain network processes in the BPsim.MAS dynamic situation modeling system and the BPsim.DSS
decisionmaking system, as well as the "Scheduler", which implement scheduling and scheduling algorithms, were developed. The
results of the experiments on the data showed the following results:
1. the pilot plan provides consistency with the results of the actual plan compiled by the dispatch specialist;
2. the use of automatic scheduling algorithm allows to take into account the preferences of the person making the
decision, in terms of delivery strategies, the priority of servicing of the filling station capacities, restrictions on
vehicles (petrol tankers) and gas stations (in the part of servicing with gasoline tank trucks).</p>
      <p>The main criterion for the success of the task is to ensure the smooth operation of the network of gas stations. Even if
the profit will be maximal in a risky variant, it will be eliminated, since the interruption or malfunction of the gas statio n
may cause an outflow (loss) of customers both of the gas station and the entire network in the future.</p>
      <p>The work of Janychivin Oyuungarel [19] describes the development of an optimal plan for the delivery of petroleum
products. The optimization of the plan was carried out with restrictions on the carrying capacity of vehicles and the length
of the route based on the traveling salesman problem and the work. The results of the comparison of this approach and the
new method are presented in Table 3.</p>
      <p>The approach [19] has the following limitations:</p>
      <p>each client is served by only one route;
considered 1 type of cargo;
one warehouse (tank farm);
5. the duration of the shift is not limited in time;
3. the task of selecting the carrying capacity of vehicles and their optimal number is solved, however, the carrying
capacity of all vehicles is the same in one experiment;
partial filling of a gasoline tank truck with oil products (sections) is admissible, which contradicts safety regulations,
although sectional nature of gas tank trucks is not mentioned;
route planning is carried out without taking into account the urgency of supply, restrictions on filling the sections of
fuel trucks.
Currently, the network of gas stations can be implemented with a dozen different types of fuels; needs of one gas station
can be provided from several warehouses (NB), which violates the restriction on one route for 1 client; at individual gas
stations there are up to 7-8 tanks, and the number of sections on average in modern fuel trucks is 2-4, which also violates
the restriction on 1 route. The use of AARS also often does not allow for the introduction of this restriction, due to the fact
that the capacity of AARS is less than that of stationary ones and their oil product supply often requires two deliveries per
shift (at the beginning and end of the shift). Thus, the new hybrid method of planning for petroleum products supply
network of gas stations is more flexible and meets the requirements of the subject area.
5</p>
      <sec id="sec-3-1">
        <title>Conclusion</title>
        <p>In this paper, we propose a hybrid method for deciding the problem of planning the transportation of fuel through a network
of gasoline stations. The method was developed as a result of the integration of the transport task, the multi-agent simulation
model of the process of resource conversion, the apparatus of frame expert systems. The method is implemented in software
as a decision support system as a result of the integration of the "Scheduler" and BPsim systems. Approbation of the
method and DSS took place in the current network of gas stations in the Sverdlovsk region. When solving the task of
planning the delivery, the task of integrating the DSS with the corporate system of the enterprise was solved, which now
makes it possible to classify BPsim as an open modeling system and makes it possible to apply it to real-time control tasks.
Acknowledgment
The work was supported by Act 211 Government of the Russian Federation, contract № 02.A03.21.0006.
Systems and Technologies Peter the Great St. Petersburg Polytechnic University, Leibniz Universität Hannover. 2015.</p>
        <p>P. 103-110.
12. Solovyeva I., Sokolov B., Ivanov D. Analysis of position optimization method applicability in supply chain
management problem // 2015 International Conference "Stability and Control Processes" in Memory of V.I. Zubov
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13. Devyatkov, V.V., Vlasov S.A., Devyatkov T.V. Cloud Technology in Simulation Studies: GPSS Cloud Project //
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101-108 pp. URL:https://sgemworld.at/sgemlib/spip.php?article8493 DOI: 10.5593/SGEM2016/B21/S07.014,
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