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  <front>
    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>Implementation of Rail Loading and Gold Bullion, Silver Ounces and Supplies for the Mining of Precious Materials and Gems</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Tania Olivier</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
          <xref ref-type="aff" rid="aff1">1</xref>
          <xref ref-type="aff" rid="aff2">2</xref>
          <xref ref-type="aff" rid="aff3">3</xref>
          <xref ref-type="aff" rid="aff4">4</xref>
          <xref ref-type="aff" rid="aff5">5</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>Alberto Hernández Universidad Autónoma del Estado de Morelos mnos.uacj.mx</institution>
        </aff>
        <aff id="aff1">
          <label>1</label>
          <institution>Alberto Ochoa Universidad Autónoma de Ciudad Juárez</institution>
        </aff>
        <aff id="aff2">
          <label>2</label>
          <institution>Luis Rico Instituto Tecnológico de Parral mnos.uacj.mx</institution>
        </aff>
        <aff id="aff3">
          <label>3</label>
          <institution>Michel Ramírez Universidad Autónoma de Ciudad Juárez michel_ram96 @hotmail.com</institution>
        </aff>
        <aff id="aff4">
          <label>4</label>
          <institution>Olivia Quintero Instituto Tecnológico de Parral mnos.uacj.mx</institution>
        </aff>
        <aff id="aff5">
          <label>5</label>
          <institution>Universidad Autónoma de Ciudad Juárez</institution>
        </aff>
      </contrib-group>
      <abstract>
        <p>The following article describes the logistics analysis on one of the commonly detected problems in trains, associated with BINPACKING, as it is, the wagon's load, by transporting precious materials extracted from the mines in the state of Chihuahua, as they are: gold ingots, silver ounces and precious gemstones, it has also analyzed the supplies transportation for subterranean mining in the state, which results complicated when optimizing space for good arrangement, to be able to take advantage of the total cargo capacity and the time this process takes. The main goal was utilizing an algorithm for the optimization of the cargo and the materials arrangement to transport them from the city of Chihuahua to Los Mochis, Sinaloa. The freight train line to utilize is FERROMEX, one of the most representative in the country. It's important to consider the client's requirements and the wagon's capacity to assure the supplying of this materials effectively. We utilized data that allowed doing simulations in the MATLAB software by VRP (Vehicle Routing Problem) to optimize the routes they will follow for the materials and supplies transportation to afterwards realize the load in the FERROMEX's train wagons.</p>
      </abstract>
      <kwd-group>
        <kwd>eol&gt;Trains</kwd>
        <kwd>BINPACKING</kwd>
        <kwd>cargo</kwd>
        <kwd>MATLAB</kwd>
        <kwd>VRP</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>1. INTRODUCTION</title>
      <p>Mineral commercialization allows us to define the supply and
demand of mining products in a plane of time, in function of the
calculus of the type and quantity of mineral products the different
industry actors will produce and consume in the future, satisfying
the client’s, actionists’, provider’s and society’s needs to
contribute to the country’s development. The freight train is
considered as the best option to transport minerals given their
main advantages attributed to low cost, low energy consumption
and it avoids traffic, above all. For instance, logistics has more
importance for the organizations because consumers demand
greater quality, the growth level and economic stability depends
on an excellent merchandise distribution.</p>
      <p>In the present investigation it is presented an option for train
transportation of the enterprise FERROMEX, of materials
extracted from different mines in the state of Chihuahua specially:
Santa Bárbara, El Oro and Parral joined to the mining machinery
utilized in subterranean mines; applying VRP for the transport
routes optimization, by the MATLAB software.</p>
    </sec>
    <sec id="sec-2">
      <title>2. PROBLEM DESCRIPTION</title>
      <p>
        In Mexico there are many markets and corridors of loading
largevolume where the rail transport services of load are bear the
"heavy burden" of land transport. Thus contribute to promote
national economic development by giving the producers,
importers and exporters access to transport services of great
capacity for a likely cost lower than for roadway transport. The
prospects generated in terms of development make the
performance of the industry of rail transport of loads a matter of
public interest in Mexico, as in many other countries. The rail
service was a fundamental element in the process of
industrialization of Mexico. The expansion and deregulation of
other means of transport generated to decline in its activity. Faced
with the need to compete in the global market with efficient
transport and economic, in the mid-nineties Mexico concessions
rail services to companies in the private sector. This same
situation is lived in other countries, mainly in Europe and Latin
America. The granting of the rail service had as an objective to
create more infrastructure, modernize the structure internal trade,
count with efficient transport and economic, encourage
competitiveness in the economy and provide benefits in terms of
mobility. To realize the concessions had to modify the
Constitutional Article 28, by changing to the railways the
recognition of strategic area by the priority area for national
development, and consequently created the Regulatory Law of rail
service. It should be noted that this measure, which is necessary
for the momentum of the railways as a means of transport
intervener of economic development, had not had the necessary
support in the law which has no measures to ensure in its entirety
the objectives [
        <xref ref-type="bibr" rid="ref4">4</xref>
        ]. According to the Global Competitiveness
Report 2013-2014 of the World Economic Forum, the quality of
the railway infrastructure in Mexico occupies the position 60 with
a rating of 2.8 of a
maximum of 7 points
possible, and below
the average of 3.2
points of a set of 121 countries. The extension, penetration and
capillarity of the network has caused that industries that transport
their products or source of raw materials used the trucking of
load, despite which they could have recourse to the intense use of
the railway should it be of greater efficiency and lower risk to the
characteristics of the transported [
        <xref ref-type="bibr" rid="ref4">4</xref>
        ]. Currently, the railway serves
to large industrial customers, while medium and small producers
have not benefited. Eliminated entire routes arguing the low
profitability; it has conditioned the service to complete wagons,
and the passenger service
decreased in 80%. In reality, the
process generated two
monopolies that, without
competition, not contributed to national development. This
structure of the industry of rail service promotes an environment
of competition and make indispensable interconnection between
lines [
        <xref ref-type="bibr" rid="ref4">4</xref>
        ].
We propose the use of an Intelligent Emulator which can calculate
the correct distribution of material as in Figure 2.
      </p>
    </sec>
    <sec id="sec-3">
      <title>3. PROBLEMATICAL REPRESENTATION</title>
    </sec>
    <sec id="sec-4">
      <title>OF KNOWLEDGE</title>
      <p>
        Ternium is a steel producer company leader in the Latin American
market. Account with integrated processes for the manufacture of
steel and derivatives, with the highest technology. Is the largest
manufacturer of finished steel products in Latin America. Caters
to customers from a variety of industries such as automotive,
construction, metalworking, white line, packaging, energy and
transport. Ternium and its subsidiaries have 16 production centers
in Argentina, Colombia, United States, Guatemala and Mexico
[8]. It also integrates the control group of Usiminas jointly with
Nippon Steel &amp; Sumitomo Metal Corporation (NSSMC) and
housing of employees of Usiminas. With a solid position,
provides high complexity steels to major markets in the region.
Ternium develops through strong steels productive integration. Its
plants cover the entire process of manufacture, from the mining of
iron ore to the manufacture of high value added products, and
promotes the development of the companies of the metal
mechanic sector. The production capacity of Ternium is 10.8
million tonnes of finished steel per year [8]. The rolls of
hotrolled steel are inputs for the manufacture of intermediate and
capital goods, for example: automotive parts, profiles, structures,
pressure vessels and piping, among others. Additionally, the own
steel industry uses the hot foil as an input to produce foil cold
rolled over [
        <xref ref-type="bibr" rid="ref5">5</xref>
        ]. For that reason the company Ternium uses the
system of rail transport on the basis of the city of the city of
Monterrey to the city of Puebla for the relocation of its products.
For the transport of coated steel rolls (1.22 MT), you need a
platform with the specifications (Table 1) for the accommodation
of the rolls of steel and specific mineral as is shown in Figure 3.
      </p>
    </sec>
    <sec id="sec-5">
      <title>4. METHODOLOGY</title>
      <p>To optimize the arrangement of the rolls coated in wagons for
your transportation, is a clear problem of distribution of objects in
wagons (bin packing). Classic problem of combinatorial
optimization NP-hard, in which there is a sequence of n objects
L= {a1, a2…….an} with a given size 0 &lt; S(a1)≤C and a limited
number of containers ,each of capacity C. The objective is to
determine the number of containers in which all objects can be
distributed, the expression expresses this problem, given [10]: N=
number of objects to distribute, in where C= Capacity of the
platform I=sequence of n objects to1 S1 ( A1)= size of each object
ai Find a minimum partition of L minimum , L= B1 or B2 u. U
BM Such that in each set bj the sum of the size of each object s(ai
) In Bj , does not exceed c. To make the arrangement of the rolls
of steel is used a genetic algorithm that will be run on the Matlab
software to generate the solution of a better optimization of the
spaces in the platform. Table 2 shows the pseudocode to use [10].
5 Select individuals to cross in proportion to their aptitude.
6 Apply Crossing_BFD and generate new individuals.
7 Substitute the worst individuals for the new individuals.
8 Apply Mutation_RV to the worst individuals.
9 If generation &gt; gen1
10 Clone the best individuals of the population
11 Apply Mutation_RpP to the cloned individuals
12 Substitute the worst individuals for the cloned individuals
13 End if
14 Apply Delete_by_Substitution to the repeated individuals
15 If generation &gt; gen2
16 Select the best individuals to cross
17 Apply Crossing_RpP to generate new_individuals
18 Substitute the worst individuals for the new_individuals
19 End if
20 Register the best_solution
21 End while
22 End procedure</p>
      <p>
        To do this although there are a number of definitions of products
made of steel or other metals that can be presented in the form of
rolls of better known as steel coils, and defined in the UNE- EN
10.079:1992'[
        <xref ref-type="bibr" rid="ref3">3</xref>
        ].
      </p>
      <p>
        Once taking the best form of accommodation will take the times,
the possibility to optimize the times of loading and unloading. To
do this use the orthogonal arrangements are designs proposed by
Taguchi which, as its name indicates, have the property of
orthogonality, same that also possess the factorial designs classics.
These arrangements are fractionated factorial designs complete, or
mixed, depending on the number of factors to consider in a
particular case [
        <xref ref-type="bibr" rid="ref6">6</xref>
        ]. For the calculation of the time will be the
orthogonal method, better known as Taguchi method. The analytic
tool used are usually factorial designs fractionated, however when
the number of factors is increased, possible interactions increase,
as well as the complications to identify what are the specific
conditions to experience. An Orthogonal arrangement can be
compared with a fractional factorial replication, so that preserves
the concept of orthogonality and contrasts. A fractional factorial
experiment is also a settlement orthogonal. Taguchi developed a
series
of
specific
arrangements
called
[12]:
(b)C
(2)
Where: a = Represents the number of tests or experimental
conditions to be taken. This is the number of lines or lines in the
settlement. b = Represents the different levels to which they will
take every factor. c = Is the number of independent effects that
you can analyze, this is the number of columns. To perform a
better optimization in the times will be through the use of
hypothetical data due to the lack of actual data in the time
calculation of loading and unloading of the rolls or steel coils.
      </p>
    </sec>
    <sec id="sec-6">
      <title>5. DESIGN OF EXPERIMENTS</title>
      <p>As mentioned, through the usage of MATLAB run the genetic
algorithm in order to accommodate the rolls of steel in the best
way possible by minimizing the spaces in the railway platform. In
table 5 the measures to use of the rolls. To run once every type of
roll in software, with the selected instances to observe its
behavior.
To perform the experiment was implemented a genetic algorithm,
with a capacity of population of 500 and 5000 generations. In
Figure 4 shows part of the algorithm to use to insert the selected
instances of the rolls.</p>
      <p>Using the orthogonal design of Taguchi aims to obtain the most
significant factors with respect to the time of loading and
unloading. For the experiment were used 3 controllable factors
which are the types of machine to uses either crane of clamps and
crane hook type c, weight of the steel coils, work shifts and 2
noncontrollable factors, is the distance travelled and the operators
involved in the load. In this way should be carried out 8 runs with
the goal of finding the shortest possible time of all the bullfights.</p>
    </sec>
    <sec id="sec-7">
      <title>6. ANALYSIS AND DISCUSSION OF</title>
    </sec>
    <sec id="sec-8">
      <title>RESULTS</title>
      <p>As mentioned in the literature, tests were carried out in the Matlab
software to display the possible accommodations in the platform,
for your transportation. In the event, through the modification and
the use of a genetic algorithm, it was decided to find a possible
solution to the problem of Bin Packing for this two types are used
two instances to the rolls of steel. In the bullfight 1 (Figure 6 A)
instances used were of 1.9 m long and 1.2 wide. The second
bullfights (Figure 6 B) is 2 m long by 1.5 m wide. Both with a
population of 100.
As mentioned in the previous figure, in the first run is obtained 40
boxes, that by multiplying the weight in tons exceeds the
permitted weight. In the second run is visualized 30 boxes
generated by the use of the algorithm. When performing the
bullfights Minitab for the design of the experiment were gets
some graphs called noise signal. These tables identify the most
significant value that you want to find. In that case to the problem,
the most significant values are the shifts and the machines
(cranes) specified in figure 7. Through the use of the orthogonal
design was analyzed the estimation of the contribution of the
individual factors that influence the load - download the rolls of
steel.
Making a connection with the figure 6 of the graphics, you can
confirm which are the most significant factors for the load delos
steel coils, mentioned above. The following table and displays the
Taguchi analysis performed in the Minitab.</p>
      <p>According to the results obtained for the time of accommodation
in the transport must be performed to accommodate the time of
unloading in the following design. On the basis of the results
obtained in the experiment, the bullfights, it was found that the
average is 4.0625, this means that you have to improve in the
management of the use of the cranes. Other factors that affect is
the turn as well as the use of cranes, an implementation in order to
resolve this problem is the use of cranes. As can be seen to hold
this type of materials is necessary to use mooring direct and
indirect. The mooring indirect secure ground, it gives resistance to
lateral and longitudinal movement of the rolls. While the direct
ties anchored the rolls of steel. To perform this process, it is
necessary to count with the mooring straps, cables or chains,
taking into account the voltage of these materials.</p>
    </sec>
    <sec id="sec-9">
      <title>7. CONCLUSIONS AND</title>
    </sec>
    <sec id="sec-10">
      <title>RECOMMENDATIONS</title>
      <p>After performing the bullfights, it was noted that the software we
generated a greater number of boxes, due to the fact that only took
the measures of the rolls, but taking another variable to improve
this process would be the weight, what is needed to make further
modifications to the genetic algorithm. Through the use of the
orthogonal design was analyzed the estimation of the contribution
of the individual factors that influence the loading - Unloading the
rolls of steel. These times could be improved with the use of more
cranes but this would result in higher costs to the company due to
the shift and more operators, as well as earn the best condition for
a process, so that the characteristics in a good quality can be
sustained. For future work with respect to the design of
experiments you can find more factors and make a greater amount
of runs with the aim of improving this procedure. Also can
implementing a VRP to perform the possible stops that could be
along the route that goes from City of Monterrey to the city of
Puebla. For transport requires the use of non-slip elements
between the rolls of steel and the support, since it is considered to
be essential in the transport of these products. The steel coils of
mooring and subject will be duly approved and be ruled out in the
event of breakage, wear or deformation of the same. As mentioned
it is essential to make use of the standards set by the government
agencies for its better transportation.</p>
    </sec>
    <sec id="sec-11">
      <title>8. ACKNOWLEDGEMENTS</title>
      <p>The realization of the drafting of this research article was possible
thanks to the support of the Advisors Dr. Alberto Ochoa of the
UACJ and Dr. Alberto Hernandez of the UAEM.
[7] Referencia web:http:// www.ferromex.mx
[8] Referencia web. Termium, http://ternium.com/about-us/
[9] Rincon Velandia, A., Rodríguez Casas, C. A., Castro Rincón,
C. A., Zarate, J. H., &amp; Buitrago, O. A. (2013). Estudio de supply
chain management y logistica en la empresa Acerías Paz Del Rió
SA. [10] VALENCIA, E. (1997, August). Optimización mediante
algoritmos genéticos. InAnales del Instituto de Ingenieros de
Chile (Vol. 109, No. 2, pp. 83-92). [12] Wu, Y., &amp; Wu, A.
(1997). Diseño robusto utilizando los métodos Taguchi. Ediciones
Díaz de Santos.</p>
    </sec>
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