<?xml version="1.0" encoding="ISO-8859-1"?><article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">
<front>
<journal-meta>
<journal-id>0038-223X</journal-id>
<journal-title><![CDATA[Journal of the Southern African Institute of Mining and Metallurgy]]></journal-title>
<abbrev-journal-title><![CDATA[J. S. Afr. Inst. Min. Metall.]]></abbrev-journal-title>
<issn>0038-223X</issn>
<publisher>
<publisher-name><![CDATA[The Southern African Institute of Mining and Metallurgy]]></publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id>S0038-223X2012000600012</article-id>
<title-group>
<article-title xml:lang="en"><![CDATA[Mining simulation for room and pillar coal operation]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Pereira]]></surname>
<given-names><![CDATA[S.P]]></given-names>
</name>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Costa]]></surname>
<given-names><![CDATA[J.F.C.L]]></given-names>
</name>
<xref ref-type="aff" rid="A02"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Salvadoretti]]></surname>
<given-names><![CDATA[P]]></given-names>
</name>
<xref ref-type="aff" rid="A02"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Koppe]]></surname>
<given-names><![CDATA[J]]></given-names>
</name>
<xref ref-type="aff" rid="A02"/>
</contrib>
</contrib-group>
<aff id="A02">
<institution><![CDATA[,Federal University of Rio Grande do Sul  ]]></institution>
<addr-line><![CDATA[ ]]></addr-line>
<country>Brazil</country>
</aff>
<pub-date pub-type="pub">
<day>00</day>
<month>06</month>
<year>2012</year>
</pub-date>
<pub-date pub-type="epub">
<day>00</day>
<month>06</month>
<year>2012</year>
</pub-date>
<volume>112</volume>
<numero>6</numero>
<fpage>473</fpage>
<lpage>476</lpage>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://www.scielo.org.za/scielo.php?script=sci_arttext&amp;pid=S0038-223X2012000600012&amp;lng=en&amp;nrm=iso&amp;tlng=en"></self-uri><self-uri xlink:href="http://www.scielo.org.za/scielo.php?script=sci_abstract&amp;pid=S0038-223X2012000600012&amp;lng=en&amp;nrm=iso&amp;tlng=en"></self-uri><self-uri xlink:href="http://www.scielo.org.za/scielo.php?script=sci_pdf&amp;pid=S0038-223X2012000600012&amp;lng=en&amp;nrm=iso&amp;tlng=en"></self-uri><abstract abstract-type="short" xml:lang="en"><p><![CDATA[The mechanized mining cycle using loaders and shuttle cars had its peak in terms of usage in the mining industry during 1950 through 1960. In Brazil, this system is still used at underground coal mines in southern Santa Catarina coal basin. With the aim of investigating the benefits of a new mining scheme using the room and pillar method for these local mines, a computational simulator model was developed in order to investigate the mining cycle. This paper presents the methodology used to develop the simulator and the results that the simulation shows regarding impact of the proposed new scheme on mining productivity.]]></p></abstract>
<kwd-group>
<kwd lng="en"><![CDATA[production simulation]]></kwd>
<kwd lng="en"><![CDATA[underground coal mining]]></kwd>
</kwd-group>
</article-meta>
</front><body><![CDATA[ <p align="right"><font face="Verdana, Arial, Helvetica, sans-serif" size="2"><b>JOURNAL    PAPER</b></font></p>     <p>&nbsp;</p>     <p><font face="Verdana, Arial, Helvetica, sans-serif" size="4"><b>Mining simulation    for room and pillar coal operation</b></font></p>     <p>&nbsp;</p>     <p>&nbsp;</p>     <p><font face="Verdana, Arial, Helvetica, sans-serif" size="2"><b>S.P. Pereira<sup>I</sup>;    J.F.C.L. Costa<sup>II</sup>; P. Salvadoretti<sup>II</sup>; J. Koppe<sup>II</sup></b></font></p>     <p><font face="Verdana, Arial, Helvetica, sans-serif" size="2"><sup>I</sup>Brazil    <br>   <sup>II</sup>Federal University of Rio Grande do Sul, Brazil</font></p>     <p>&nbsp;</p>     <p>&nbsp;</p> <hr size="1" noshade>     ]]></body>
<body><![CDATA[<p><font face="Verdana, Arial, Helvetica, sans-serif" size="2"><b>SYNOPSIS</b></font></p>     <p><font face="Verdana, Arial, Helvetica, sans-serif" size="2">The mechanized    mining cycle using loaders and shuttle cars had its peak in terms of usage in    the mining industry during 1950 through 1960. In Brazil, this system is still    used at underground coal mines in southern Santa Catarina coal basin. With the    aim of investigating the benefits of a new mining scheme using the room and    pillar method for these local mines, a computational simulator model was developed    in order to investigate the mining cycle. This paper presents the methodology    used to develop the simulator and the results that the simulation shows regarding    impact of the proposed new scheme on mining productivity.</font></p>     <p><font face="Verdana, Arial, Helvetica, sans-serif" size="2"><b>Keywords:</b>    production simulation, underground coal mining.</font></p> <hr size="1" noshade>     <p>&nbsp;</p>     <p>&nbsp;</p>     <p><font face="Verdana, Arial, Helvetica, sans-serif" size="3"><b>Introduction</b></font></p>     <p><font face="Verdana, Arial, Helvetica, sans-serif" size="2">During the past    decade, coal-fired power plants in Brazil accounted for 2 per cent of the total    energy generated within the country. However, in Santa Catarina State in the    south of Brazil, thermal coal plants generate 59 per cent of the energy available.    This region also produces 54 per cent of Brazil's coal (2007). Currently, coal    mining in Santa Catarina takes place at underground operations using the room    and pillar method. Mechanized cycle mining using loaders and shuttle cars had    its peak in the global mining industry during 1950 through 1960, but is still    used in Brazil. This type of operation was used in various traditional underground    coal producers such as the USA, South Africa, and Australia.</font></p>     <p><font face="Verdana, Arial, Helvetica, sans-serif" size="2">Brazil is not a    major coal producer in the world context; consequently the mining technologies    used in these particular underground mines are out dated. Most mines are small    operations, using different equipment for load and haul such as LDHs, scoops,    continuous miners combined with shuttle cars, and loaders with shuttle cars.</font></p>     <p><font face="Verdana, Arial, Helvetica, sans-serif" size="2">With the advent    of personal computers and the availability of specific programs, engineers were    offered new tools to analyse old mine engineering problems<sup>1</sup>. One    of the early studies was carried out by Koenigsberg<sup>2</sup>, who addressed    the problem of organizing unit operations at underground coal mines. Rist<sup>3</sup>    published the first paper in mining computer simulation. Suboleski and Lucas<sup>4</sup>    studied and simulated the operations for a room and pillar coal mine. Few publications    exist that deal with the application of simulation methods for underground mines    in Brazil, particularly for coal mines, contrasting with the large number found    on opencast mines.</font></p>     <p><font face="Verdana, Arial, Helvetica, sans-serif" size="2">In this context,    this study was developed to assist operations using outmoded technology to move    to the latest mining methods that are appropriate to the geological setting    in Santa Catarina. Simulation methods can help to redesign and organize these    mines.</font></p>     ]]></body>
<body><![CDATA[<p>&nbsp;</p>     <p><font face="Verdana, Arial, Helvetica, sans-serif" size="3"><b>The mine</b></font></p>     <p><font face="Verdana, Arial, Helvetica, sans-serif" size="2">Carbonifera Metropolitana    SA has operated Esperanga Mine in southern Brazil since 1984. The mine throughput    exceeds 1 Mt of thermal coal per annum. The operation employs room and pillar    without retreating (no pillar recovery) from the mining cycle method.</font></p>     <p><font face="Verdana, Arial, Helvetica, sans-serif" size="2">In this mining    method, the following sequence of activities is employed:</font></p>     <blockquote>        <p><font face="Verdana, Arial, Helvetica, sans-serif" size="2">i.&nbsp;A roof      bolter is used to drill and insert full-column resin bolts for ground control      immediately after the coal pile is mucked</font></p>       <p><font face="Verdana, Arial, Helvetica, sans-serif" size="2">ii.&nbsp;A coal      cutter is used to create an extra free face, which enhances blasting efficiency</font></p>       <p><font face="Verdana, Arial, Helvetica, sans-serif" size="2">iii.&nbsp;A face      drill is used to drill holes for blasting the coal face</font></p>       <p><font face="Verdana, Arial, Helvetica, sans-serif" size="2">iv.&nbsp;Blasting      is carried out using ANFO-type explosives</font></p>       <p><font face="Verdana, Arial, Helvetica, sans-serif" size="2">v.&nbsp;Face      ventilation is used to clean the fumes and the dust generated during blasting</font></p>       ]]></body>
<body><![CDATA[<p><font face="Verdana, Arial, Helvetica, sans-serif" size="2">vi.&nbsp;Loading      of coal takes place using a loader to load shuttle cars that travel to the      unloading stations (chutes) at the feeder breakers</font></p>       <p><font face="Verdana, Arial, Helvetica, sans-serif" size="2">vii.&nbsp;The      cycle restarts at (i).</font></p> </blockquote>     <p><font face="Verdana, Arial, Helvetica, sans-serif" size="2">A mining panel    comprises 8 to 12 roadways 6 m wide and 17 to 24 m apart, depending on the pillar    size. The equipment used in mining a panel includes three roof bolters, one    coal cutter, one face drill, two loaders, and three shuttle cars. There are    two daily production shifts of 7.5 hours involving the operation of all equipment    and a third shift that basically comprises roof support and equipment maintenance.    The effective production time at the face is about 5.5 hours.</font></p>     <p>&nbsp;</p>     <p><font face="Verdana, Arial, Helvetica, sans-serif" size="3"><b>Problem definition</b></font></p>     <p><font face="Verdana, Arial, Helvetica, sans-serif" size="2">During the actual    operational shifts, the fleet is positioned in order to prioritize maximum face    advancement at the centre of the panel in order to access new transverse crossings    as early as possible. This scheme results in a maximum number of available faces    at a given time (normally ranging from 17 to 25). In contrast to the advantage    of coal face availability using this strategy, the panel center advances ahead    of panel flank, as shown schematically in <a href="#f1">Figure 1</a>. This layout    increases the traffic of mobile equipment at the centre of the panel, thus increasing    the risk of accidents. The faces do not have a sequence or pre-defined order    at the start of the cycle. The technical and production staff believe that it    is impossible to maintain the required shift production if the panel is mined    simultaneously along its entire extension, keeping an even advance, i.e. with    the centre and the flanks advancing in a synchronized manner. It is understood    a change in the present scheme would decrease the availability of faces at the    start of a new cycle.</font></p>     <p><a name="f1"></a></p>     <p>&nbsp;</p>     <p align="center"><img src="/img/revistas/jsaimm/v112n6/12f01.jpg"></p>     <p>&nbsp;</p>     ]]></body>
<body><![CDATA[<p><font face="Verdana, Arial, Helvetica, sans-serif" size="2">Given the described    problem, this paper analyses whether it is possible to use a pre-defined mining    order without reducing productivity and while maintaining an evenly distributed    advance for all the extensions of the panel. Simulation of the unit operations    is proposed to address the problem of forecasting the production performance    for the proposed new scenario.</font></p>     <p>&nbsp;</p>     <p><font face="Verdana, Arial, Helvetica, sans-serif" size="3"><b>Methodology</b></font></p>     <p><font face="Verdana, Arial, Helvetica, sans-serif" size="2">The mining cycle    involves a series of sequential activities. This chain of events was studied    and the equipment used at each step described. The time involved in the mining    cycle was measured in order to build a database containing all the information    for each unit operation. Subsequently, a simulator was developed mimicking these    operations and using the timings recorded in the database. The simulator was    validated against real operational scenarios for the same mining sequence.</font></p>     <p><font face="Verdana, Arial, Helvetica, sans-serif" size="2">The validation    of the method and its result is based on the Law and Kelton5 theory. This method    is adequate for analysing systems in which the state of discrete variables is    amended only by the occurrence of certain events. Deterministic simulation models    are computer models that attempt to reproduce the real performance of the system,    in this case, using the average time values for every stage of the production    cycle involved in coal extraction. An artificial (simulated) history mimicking    the behavior of the system is generated based on the logic embedded in the proposed    model. <a href="#f2">Figure 2</a> shows the basic steps used in this study.</font></p>     <p><a name="f2"></a></p>     <p>&nbsp;</p>     <p align="center"><img src="/img/revistas/jsaimm/v112n6/12f02.jpg"></p>     <p>&nbsp;</p>     <p><font face="Verdana, Arial, Helvetica, sans-serif" size="2"><b>The simulation</b></font></p>     ]]></body>
<body><![CDATA[<p><font face="Verdana, Arial, Helvetica, sans-serif" size="2">Brazil is not a    major coal producer like countries such as the USA, Australia, China, or South    Africa, and this is reflected in the difficulty in improving mining technology    in this sector. Consequently, most medium to small coal mines generally use    multi-purpose general software such as Excel<sup>&#174;</sup> for short-term    mine planning. Fjellstr&ouml;m<sup>6</sup> uses an Excel<sup>&#174;</sup> interface    to input and output data linked to another program to simulate alternatives    for ore and waste transport to the backfill area and to the crusher in the mine.</font></p>     <p><font face="Verdana, Arial, Helvetica, sans-serif" size="2">The capabilities    of recent versions of spreadsheet software allow various applications in simulations.    In this paper, a program was developed using Visual Basic<sup>&#174;</sup> and    Excel<sup>&#174;</sup> for such an application. The user moves the mining equipment    and sets the time for each unit operation. The system is divided into two modules.    Module 1 controls the position of the equipment within the panel. The decision    where equipment should be placed is completely free; however, proper allocation    demands knowledge of how the mining cycle operates. Module 2 is used to control    data input (times for the cycle), simulation parameters, and report preparation.    The reports contain information on the number of cycles per machine, the total    time of operation of each machine during a simulated shift, and other production    information. As given equipment moves to the next face, the time taken to complete    the previous task is added to the total cycle time.</font></p>     <p><font face="Verdana, Arial, Helvetica, sans-serif" size="2"><a href="/img/revistas/jsaimm/v112n6/12f03.jpg">Figure    3</a> presents an example of the data input screen and the fields designated    for entering the time involved for each operation during the mining cycle. At    the top, the time taken related to roof drilling is entered. At the centre is    the area designated for data regarding the operational time of the coal cutter,    face drilling, loading, hauling, and blasting.</font></p>     <p><font face="Verdana, Arial, Helvetica, sans-serif" size="2"><b>Validation</b></font></p>     <p><font face="Verdana, Arial, Helvetica, sans-serif" size="2">An important step    in simulation is to validate the input data. This validation checks for similarity    between the results predicted by the computational model and those produced    by the system during actual operation. <a href="#t1">Table I</a> summarizes    the real number of cycles for each operation along a certain production shift,    given a certain mining layout and equipment availability. Additionally, the    forecast values derived from the simulator at the same scenario are depicted.    At the beginning of each shift the panel foreman allocates each machine to a    specific coal face. The simulation is done with the same initial allocation    as for the real scenario. During the shift the foreman registers the number    of cycles performed by the equipment, and this is the real value used to compare    with the simulated one.</font></p>     <p><a name="t1"></a></p>     <p>&nbsp;</p>     <p align="center"><img src="/img/revistas/jsaimm/v112n6/12t01.jpg"></p>     <p>&nbsp;</p>     <p><font face="Verdana, Arial, Helvetica, sans-serif" size="2"><b>Simulation for    a pre-defined allocation</b></font></p>     ]]></body>
<body><![CDATA[<p><font face="Verdana, Arial, Helvetica, sans-serif" size="2"><a href="#f4">Figure    4</a> represents the schematic plan used to assign the equipment to a given    face following the numbers ordered. For example, a roof drill starts its cycle    at cell 1, and then moves to cell 2 and so on. The purpose is to maintain a    rigid allocation, eliminating the need to wait for a face foreman's decision    on where the equipment should be allocated.</font></p>     <p><a name="f4"></a></p>     <p>&nbsp;</p>     <p align="center"><img src="/img/revistas/jsaimm/v112n6/12f04.jpg"></p>     <p>&nbsp;</p>     <p><font face="Verdana, Arial, Helvetica, sans-serif" size="2"><b>Simulation results</b></font></p>     <p><font face="Verdana, Arial, Helvetica, sans-serif" size="2">In the following    section, the results of a 19-day simulated period are compared with the actual    results obtained during the same period. The actual production of this panel    was an average of 1 301 t/day), and the average simulated throughput using a    pre-defined and regular advance scheme was 1 360 t/day. During that time, there    were a maximum as well as minimum number of coal faces available to start a    new cycle. Consequently, this reflects on the simulation at the same way as    actual scenario, keeping throughput cyclic as indicate the <a href="#f5">Figure    5</a>.</font></p>     <p><a name="f5"></a></p>     <p>&nbsp;</p>     <p align="center"><img src="/img/revistas/jsaimm/v112n6/12f05.jpg"></p>     ]]></body>
<body><![CDATA[<p>&nbsp;</p>     <p><font face="Verdana, Arial, Helvetica, sans-serif" size="2"><a href="#t2">Table    II</a> summarizes the statistics for the simulated and real production.</font></p>     <p><a name="t2"></a></p>     <p>&nbsp;</p>     <p align="center"><img src="/img/revistas/jsaimm/v112n6/12t02.jpg"></p>     <p>&nbsp;</p>     <p><font face="Verdana, Arial, Helvetica, sans-serif" size="3"><b>Comments and    discussion</b></font></p>     <p><font face="Verdana, Arial, Helvetica, sans-serif" size="2">The rigid allocation    scheme leads to more predictable results than the actual system. After completion    of this experiment, the coal mine supporting this study made a real attempt    to implement the new scheme; however, the observation time used for the test    was short. The results of these experiments were considered positive by the    mine staff. Unfortunately, comparisons between the real and simulated scenarios    are not straightforward. To overcome this problem, a comparison of the equivalence    of the two systems is carried out using the suggestion proposed by Law and Kelton<sup>5</sup>.    Using the proposed statistical test, it is possible to confirms that both systems    can be considered as having the same production throughput, based on the paired-t    confidence interval probability for a 90 per cent significance interval and    <i>n</i> = 19. The fundaments for this test are:</font></p>     <p><font face="Verdana, Arial, Helvetica, sans-serif" size="2">For <i>i</i> =    1, 2,..., let <i>Xi</i><sub>1</sub>, <i>Xi</i><sub>2</sub>, ..., X<i>in</i>,    be a sample of <i>ni</i> observations from system i, and let &#956;<i>i</i>=    <i>E (Xij</i>) be the expected response of interest; we want to construct a    confidence interval for </font><font size="2">&#950;</font><font face="Verdana, Arial, Helvetica, sans-serif" size="2">    = </font><font  size='2'>&#956;</font><font face="Verdana, Arial, Helvetica, sans-serif" size="2"><sub>1</sub>-    </font><font  size='2'>&#956;</font><font face="Verdana, Arial, Helvetica, sans-serif" size="2"><sub>2</sub>    (it tests if the means are statistically different). Whether <i>X</i><sub>1j</sub>    and X<sub>2j</sub> are independent depends on how the simulations are executed,    and could determine which of the two confidence interval approaches discussed    below should be used.</font></p>     <p><font face="Verdana, Arial, Helvetica, sans-serif" size="2">If <i>n</i><sub>1</sub>    = <i>n</i><sub>2</sub> (= <i>n</i>, say), or we are willing to discard some    observations from the system on which we actually have more data, we can pair    <i>X</i><sub>1j</sub> with X<sub>2j</sub> to define <i>Zj</i>=<i>X</i><sub>1j</sub>    - X<sub>2j</sub> for <i>j</i> = 1, 2, ..., <i>n</i>. Then the <i>Zj</i> values    are random variables and <i>E</i>(<i>Zj</i>) = </font><font size="2">&#950;</font><font face="Verdana, Arial, Helvetica, sans-serif" size="2">,    the quantity for which we want to construct a confidence interval. Thus,</font></p>     ]]></body>
<body><![CDATA[<p align="center"><img src="/img/revistas/jsaimm/v112n6/12x01-02.jpg"></p>     <p align="center"><img src="/img/revistas/jsaimm/v112n6/12x03.jpg"></p>     <p><font face="Verdana, Arial, Helvetica, sans-serif" size="2">where z(n) is the    z mean.</font></p>     <p><font face="Verdana, Arial, Helvetica, sans-serif" size="2">If <i>Zj</i> is    normally distributed, this confidence interval is exact, i.e., it covers </font><font size="2">&#950;</font><font face="Verdana, Arial, Helvetica, sans-serif" size="2">    with probability 1- </font><font size="2">&#945;</font><font face="Verdana, Arial, Helvetica, sans-serif" size="2">.    Applying this test yields:</font></p>     <p><font face="Verdana, Arial, Helvetica, sans-serif" size="2"><i>z</i>(<i>n</i>)    is -0,79 and Var &#91;<i>z</i>(<i>n</i>)&#93; is 8.29. For a 90 per cent confidence    limit and <i>n</i> = 19:</font></p>     <p align="center"><img src="/img/revistas/jsaimm/v112n6/12s01.jpg"></p>     <p><font face="Verdana, Arial, Helvetica, sans-serif" size="2">The confidence    interval is:</font></p>     <p align="center"><img src="/img/revistas/jsaimm/v112n6/12e01.jpg"></p>     <p><font face="Verdana, Arial, Helvetica, sans-serif" size="2">which allows us    to conclude that the actual and simulated values do not differ, as the interval    of confidence contains the mean of their difference.</font></p>     <p><font face="Verdana, Arial, Helvetica, sans-serif" size="2">The pre-defined    equipment distribution scheme proposed here does not adversely affect production    by reducing the number of available faces on the crosscuts compared to the actual    system currently in use, as was previously believed at the mine site.</font></p>     ]]></body>
<body><![CDATA[<p>&nbsp;</p>     <p><font face="Verdana, Arial, Helvetica, sans-serif" size="3"><b>Conclusion</b></font></p>     <p><font face="Verdana, Arial, Helvetica, sans-serif" size="2">The results demonstrate    that the pre-defined scheme of equipment allocation at Esperanga mine does not    reduce production as expected by the mine staff. It is possible to maintain    the same production using a more organized and safer operation. For this, the    simulator developed for the room and pillar cycle mining was essential for allowing    the comparison of different mining scenarios in terms of the number of mined    faces and distribution of panel equipment.</font></p>     <p>&nbsp;</p>     <p><font face="Verdana, Arial, Helvetica, sans-serif" size="3"><b>References</b></font></p>     <!-- ref --><p><font face="Verdana, Arial, Helvetica, sans-serif" size="2"><b>1.</b>&nbsp;Sturgul,    J.R. Mine Design: Examples Using Simulation. <i>Society for Mining, Metallurgy,    and Exploration Inc.</i> SME, Littleton, CO, 2000. pp. 13-31.</font>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=247470&pid=S0038-223X201200060001200001&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --><!-- ref --><p><font face="Verdana, Arial, Helvetica, sans-serif" size="2"><b>2.</b>&nbsp;Koenigsberg,    E. Cyclic queues. <i>Operations Research Quarterly,</i> 1958 pp. 22-35.</font>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=247471&pid=S0038-223X201200060001200002&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --><!-- ref --><p><font face="Verdana, Arial, Helvetica, sans-serif" size="2"><b>3.</b>&nbsp;Rist,    K. The solution of a transportation problem by use of Monte Carlo technique.    <i>APCOM 1.</i> University of Arizona, Tucson, March 1961.</font>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=247472&pid=S0038-223X201200060001200003&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --><!-- ref --><p><font face="Verdana, Arial, Helvetica, sans-serif" size="2"><b>4.</b>&nbsp;Suboleski    S.C. and Lucas, J.R. Simulation of room and pillar face mining system. APCOM    1969, Salt Lake City. <i>Society of Mining Engineers of the American Institute    of Mining, Metallurgical and Petroleum Engineers,</i> New York, 1969. pp. 373-384.</font>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=247473&pid=S0038-223X201200060001200004&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --><!-- ref --><p><font face="Verdana, Arial, Helvetica, sans-serif" size="2"><b>5.</b>&nbsp;Law,    A.M. and Kelton, W.D. Simulation Modeling and Analysis, 2nd edn. McGraw-Hill,    Singapore, 1991. pp. 586-591.</font>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=247474&pid=S0038-223X201200060001200005&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --><!-- ref --><p><font face="Verdana, Arial, Helvetica, sans-serif" size="2"><b>6.</b>&nbsp;Fjellstr&ouml;m,    N. Simulation of an Underground Haulage System, Renstr&ouml;m Mine, Boliden    Mineral. Master's Thesis, Lule&aring; University of Technology, Sweden, 2011.    74 pp.</font>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=247475&pid=S0038-223X201200060001200006&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --><p>&nbsp;</p>     <p>&nbsp;</p>     <p><font face="Verdana, Arial, Helvetica, sans-serif" size="2">Paper received    Apr. 2010    <br>   Revised paper received Jan. 2012</font></p>      ]]></body>
<REFERENCES></REFERENCES<back>
<ref-list>
<ref id="B1">
<label>1</label><nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Sturgul]]></surname>
<given-names><![CDATA[J.R]]></given-names>
</name>
</person-group>
<source><![CDATA[Mine Design: Examples Using Simulation]]></source>
<year>2000</year>
<page-range>13-31</page-range><publisher-loc><![CDATA[Littleton^eCO CO]]></publisher-loc>
<publisher-name><![CDATA[SME]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B2">
<label>2</label><nlm-citation citation-type="">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Koenigsberg]]></surname>
<given-names><![CDATA[E]]></given-names>
</name>
</person-group>
<source><![CDATA[Cyclic queues: Operations Research Quarterly]]></source>
<year>1958</year>
<page-range>22-35</page-range></nlm-citation>
</ref>
<ref id="B3">
<label>3</label><nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Rist]]></surname>
<given-names><![CDATA[K]]></given-names>
</name>
</person-group>
<source><![CDATA[The solution of a transportation problem by use of Monte Carlo technique]]></source>
<year></year>
<publisher-loc><![CDATA[Tucson ]]></publisher-loc>
<publisher-name><![CDATA[University of Arizona]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B4">
<label>4</label><nlm-citation citation-type="">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Suboleski]]></surname>
<given-names><![CDATA[S.C]]></given-names>
</name>
<name>
<surname><![CDATA[Lucas]]></surname>
<given-names><![CDATA[J.R]]></given-names>
</name>
</person-group>
<source><![CDATA[Simulation of room and pillar face mining system: APCOM]]></source>
<year>1969</year>
<month>19</month>
<day>69</day>
<page-range>373-384</page-range><publisher-loc><![CDATA[Salt Lake CityNew York ]]></publisher-loc>
</nlm-citation>
</ref>
<ref id="B5">
<label>5</label><nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Law]]></surname>
<given-names><![CDATA[A.M]]></given-names>
</name>
<name>
<surname><![CDATA[Kelton]]></surname>
<given-names><![CDATA[W.D]]></given-names>
</name>
</person-group>
<source><![CDATA[Simulation Modeling and Analysis]]></source>
<year>1991</year>
<edition>2nd</edition>
<page-range>586-591</page-range><publisher-loc><![CDATA[Singapore ]]></publisher-loc>
<publisher-name><![CDATA[McGraw-Hill]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B6">
<label>6</label><nlm-citation citation-type="">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Fjellström]]></surname>
<given-names><![CDATA[N]]></given-names>
</name>
</person-group>
<source><![CDATA[Simulation of an Underground Haulage System, Renström Mine, Boliden Mineral]]></source>
<year></year>
<page-range>74</page-range></nlm-citation>
</ref>
</ref-list>
</back>
</article>
