Integrated Scheduling of Sports Events: A Macroscopic Perspective

<!DOCTYPE html>    <html>  <head> <meta charset="utf-8" /> <title>Integrated Scheduling of Sports Events: A Macroscopic Perspective</title>  <link rel="shortcut icon" type="image/ico" href="./data/ijsom/coversheet/favicon.ico" />  <meta name="viewport" content="width=device-width, maximum-scale=1, initial-scale=1, user-scalable=0" />   <meta name="keywords" content="Sports scheduling,Multiple sport events,Integer programming,Fix-and-optimize matheuristic,Case Study,Sensitivity Analysis" /> <meta name="description" content="The scheduling of sports events has a high degree of complexity due to the large number, diversity, and the interdependence of events as well as the existence of conflicting objectives. The present study investigates the integrated scheduling of multiple types of sports events simultaneously. A variety of sports events, including competitions, management meetings, training camps, and training workshops, are scheduled simultaneously regarding the appropriateness of the timeslot for each event and the suitability of the length of the time interval between each pair of events. Previous studies were limited to detailed scheduling of single types of events. For instance, they determine when and where each team plays with other teams. However, the current paper takes a macroscopic view and sets the timeslots in which the competitions and other types of events will be held. The part of output which sets the competition timeslots can be further given as input to one of the existing algorithms which determine the detailed schedule of competitions. An integer programming formulation is developed. Numerical examples demonstrate that the general-purpose solvers cannot obtain the optimal solution of real-sized problems within an acceptable time. To solve larger problems, the fix-and-optimize matheuristic approach is employed. Numerical results show the satisfactory performance of this approach. To validate the proposed method, the sport events of the Karate Federation of Iran for a whole year are scheduled as a real case study. Finally, using the data of this case study, a sensitivity analysis is performed for some of the parameters." /> <meta name="title" content="Integrated Scheduling of Sports Events: A Macroscopic Perspective" /> <meta name="googlebot" content="NOODP" /> <meta name="citation_title" content="Integrated Scheduling of Sports Events: A Macroscopic Perspective" /> <meta name="citation_author" content="Iranpoor, Mehdi" /> <meta name="citation_author_institution" content="Department of Industrial and Systems Engineering, Isfahan University of Technology, Isfahan, Iran" /> <meta name="citation_author" content="Aghadavoudi Jolfaei, Ali" /> <meta name="citation_author_institution" content="Department of Industrial and Systems Engineering, Isfahan University of Technology, Isfahan, Iran" /> <meta name="citation_author" content="Batavani, Mohammadreza" /> <meta name="citation_author_institution" content="Department of Physiology, Faculty of Center of Physical Education, Isfahan University of Technology, Isfahan, Iran" /> <meta name="citation_abstract" content="The scheduling of sports events has a high degree of complexity due to the large number, diversity, and the interdependence of events as well as the existence of conflicting objectives. The present study investigates the integrated scheduling of multiple types of sports events simultaneously. A variety of sports events, including competitions, management meetings, training camps, and training workshops, are scheduled simultaneously regarding the appropriateness of the timeslot for each event and the suitability of the length of the time interval between each pair of events. Previous studies were limited to detailed scheduling of single types of events. For instance, they determine when and where each team plays with other teams. However, the current paper takes a macroscopic view and sets the timeslots in which the competitions and other types of events will be held. The part of output which sets the competition timeslots can be further given as input to one of the existing algorithms which determine the detailed schedule of competitions. An integer programming formulation is developed. Numerical examples demonstrate that the general-purpose solvers cannot obtain the optimal solution of real-sized problems within an acceptable time. To solve larger problems, the fix-and-optimize matheuristic approach is employed. Numerical results show the satisfactory performance of this approach. To validate the proposed method, the sport events of the Karate Federation of Iran for a whole year are scheduled as a real case study. Finally, using the data of this case study, a sensitivity analysis is performed for some of the parameters." /> <meta name="citation_id" content="2888" /> <meta name="citation_publication_date" content="2023/05/01" /> <meta name="citation_date" content="2023-05-01" /> <meta name="citation_journal_title" content="International Journal of Supply and Operations Management" /> <meta name="citation_issn" content="23831359" /> <meta name="citation_volume" content="10" /> <meta name="citation_issue" content="2" /> <meta name="citation_firstpage" content="174" /> <meta name="citation_lastpage" content="186" /> <meta name="citation_publisher" content="Kharazmi University" /> <meta name="citation_doi" content="10.22034/ijsom.2022.108533.1765" /> <meta name="DC.Identifier" content="10.22034/ijsom.2022.108533.1765" /> <meta name="citation_abstract_html_url" content="http://www.ijsom.com/article_2888.html" /> <meta name="citation_pdf_url" content="http://www.ijsom.com/article_2888_7ae20e1d7230376ea4eb5467ff53a27a.pdf" /> <meta name="DC.Title" content="Integrated Scheduling of Sports Events: A Macroscopic Perspective" /> <meta name="DC.Source" content="International Journal of Supply and Operations Management" /> <meta name="DC.Date" content="01/05/2023" /> <meta name="DC.Date.issued" content="2023-05-01" /> <meta name="DC.Format" content="application/pdf" /> <meta name="DC.Contributor" content="Iranpoor, Mehdi" /> <meta name="DC.Contributor" content="Aghadavoudi Jolfaei, Ali" /> <meta name="DC.Contributor" content="Batavani, Mohammadreza" /> <meta name="og:title" content="Integrated Scheduling of Sports Events: A Macroscopic Perspective" /> <meta name="og:description" content="The scheduling of sports events has a high degree of complexity due to the large number, diversity, and the interdependence of events as well as the existence of conflicting objectives. The present study investigates the integrated scheduling of multiple types of sports events simultaneously. A variety of sports events, including competitions, management meetings, training camps, and training workshops, are scheduled simultaneously regarding the appropriateness of the timeslot for each event and the suitability of the length of the time interval between each pair of events. Previous studies were limited to detailed scheduling of single types of events. For instance, they determine when and where each team plays with other teams. However, the current paper takes a macroscopic view and sets the timeslots in which the competitions and other types of events will be held. The part of output which sets the competition timeslots can be further given as input to one of the existing algorithms which determine the detailed schedule of competitions. An integer programming formulation is developed. Numerical examples demonstrate that the general-purpose solvers cannot obtain the optimal solution of real-sized problems within an acceptable time. To solve larger problems, the fix-and-optimize matheuristic approach is employed. Numerical results show the satisfactory performance of this approach. To validate the proposed method, the sport events of the Karate Federation of Iran for a whole year are scheduled as a real case study. Finally, using the data of this case study, a sensitivity analysis is performed for some of the parameters." /> <meta name="og:url" content="http://www.ijsom.com/article_2888.html" />  <link href="./themes/base/front/assets/css/social-icon-font.css" rel="stylesheet" type="text/css" />  <link href="./themes/base/front/assets/plugins/bootstrap/css/bootstrap.min.css?v=0.02" rel="stylesheet" type="text/css" /> <link href="./themes/old/front/assets/css/header.css?v=0.05" rel="stylesheet" type="text/css" /> <link href="./themes/old/front/assets/css/footer.css" rel="stylesheet" type="text/css" /> <link href="./inc/css/essentials.css?v=0.2" rel="stylesheet" type="text/css" /> <link href="./inc/css/cookieconsent.min.css" rel="stylesheet" type="text/css" /> <link href="./inc/css/print.css" rel="stylesheet" type="text/css" media="print"/>  <link href="./themes/base/front/assets/plugins/bootstrap/css/bootstrap-ltr.min.css" rel="stylesheet" type="text/css" /> <link href=" 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href="./?_action=article&au=119475&_au=Mehdi++Iranpoor">Mehdi Iranpoor</a> <sup><a href="mailto:iranpoor@iut.ac.ir" data-toggle="tooltip" data-placement="bottom" title="Email to Corresponding Author"><i class="fa fa-envelope-o" ></i></a></sup> <sup class="ltr"><a class=" text-green" href="https://www.orcid.org/0000-0003-4259-9587" data-toggle="tooltip" data-placement="bottom" data-html="true" title="ORCID: 0000-0003-4259-9587" target="_blank"><i class="ai ai-orcid size-13" ></i></a></sup> <sup><a href="#aff1" >1</a></sup> </li> <li class="padding-3"> <a href="./?_action=article&au=119476&_au=Ali++Aghadavoudi+Jolfaei">Ali Aghadavoudi Jolfaei</a> <sup><a href="#aff1" >1</a></sup> </li> <li class="padding-3"> <a href="./?_action=article&au=119477&_au=Mohammadreza++Batavani">Mohammadreza Batavani</a> <sup><a href="#aff2" >2</a></sup> </li> </ul> <p class="margin-bottom-3 ltr" id="aff1"> <sup>1</sup> Department of Industrial and Systems Engineering, Isfahan University of Technology, Isfahan, Iran </p> <p class="margin-bottom-3 ltr" id="aff2"> <sup>2</sup> Department of Physiology, Faculty of Center of Physical Education, Isfahan University of Technology, Isfahan, Iran </p> <div class="margin-bottom-3 ltr" id="ar_doi" title="DOI"><i class="ai ai-doi size-25 text-orange"></i> <span dir="ltr"><a href="https://dx.doi.org/10.22034/ijsom.2022.108533.1765">10.22034/ijsom.2022.108533.1765</a></span></div> <p style="margin:12px -2px 0 -2px"><strong>Abstract</strong></p> <div class="padding_abstract justify ltr">The scheduling of sports events has a high degree of complexity due to the large number, diversity, and the interdependence of events as well as the existence of conflicting objectives. The present study investigates the integrated scheduling of multiple types of sports events simultaneously. A variety of sports events, including competitions, management meetings, training camps, and training workshops, are scheduled simultaneously regarding the appropriateness of the timeslot for each event and the suitability of the length of the time interval between each pair of events. Previous studies were limited to detailed scheduling of single types of events. For instance, they determine when and where each team plays with other teams. However, the current paper takes a macroscopic view and sets the timeslots in which the competitions and other types of events will be held. The part of output which sets the competition timeslots can be further given as input to one of the existing algorithms which determine the detailed schedule of competitions. An integer programming formulation is developed. Numerical examples demonstrate that the general-purpose solvers cannot obtain the optimal solution of real-sized problems within an acceptable time. To solve larger problems, the fix-and-optimize matheuristic approach is employed. Numerical results show the satisfactory performance of this approach. To validate the proposed method, the sport events of the Karate Federation of Iran for a whole year are scheduled as a real case study. Finally, using the data of this case study, a sensitivity analysis is performed for some of the parameters.</div> <p class="padding-0" style="margin:12px -2px 0 -2px"><strong>Keywords</strong></p> <ul class="block list-inline list-inline-seprator margin-bottom-6 ltr"> <li class="padding-3"> <a class="tag_a" href="./?_action=article&kw=106332&_kw=Sports+scheduling" >Sports scheduling</a> </li> <li class="padding-3"> <a class="tag_a" href="./?_action=article&kw=106333&_kw=Multiple+sport+events" >Multiple sport events</a> </li> <li class="padding-3"> <a class="tag_a" href="./?_action=article&kw=106334&_kw=Integer+programming" >Integer programming</a> </li> <li class="padding-3"> <a class="tag_a" href="./?_action=article&kw=106335&_kw=Fix-and-optimize+matheuristic" >Fix-and-optimize matheuristic</a> </li> <li class="padding-3"> <a class="tag_a" href="./?_action=article&kw=104691&_kw=Case+study" >Case study</a> </li> <li class="padding-3"> <a class="tag_a" href="./?_action=article&kw=2436&_kw=Sensitivity+analysis" >Sensitivity analysis</a> </li> </ul> </div> <hr> <div class="page_break"></div> <div class="panel"> <div class="panel-heading card-header"> <h4 class="panel-title "> <a data-toggle="collapse" data-parent="#accordions" href="#collapsesRef"><i class="fa fa-plus"></i> References</a> </h4> </div> <div id="collapsesRef" class="panel-collapse collapse"> <div class="panel-body justify"> <div class="padding-3 margin-top-3 ltr justify">Atan, T., and Hüseyino千lu, O. P. (2017). Simultaneous scheduling of football games and referees using Turkish league data<em>. International Transactions in Operational Researc</em>h, Vol 24(3), pp. 465-484. </div> <div class="padding-3 margin-top-3 ltr justify">Bender, M., and Westphal, S. (2016). A combined approximation for the traveling tournament problem and the traveling umpire problem. <em>Journal of Quantitative Analysis in Sports</em>, Vol <em>12</em>(3), pp. 139-149. </div> <div class="padding-3 margin-top-3 ltr justify">Briskorn, D. (2011). A branching scheme for minimum cost tournaments with regard to real-world constraints. <em>Journal of the Operational Research Society</em>, Vol 62(12), pp. 2133-2145. </div> <div class="padding-3 margin-top-3 ltr justify">Çavdaro臒lu, B., and Atan, T. (2020). Determining matchdays in sports league schedules to minimize rest differences. Operations Research Letters, Vol 48(3), pp. 209-216. </div> <div class="padding-3 margin-top-3 ltr justify">Chandrasekharan, R. C., Toffolo, T. A., and Wauters, T. (2019). Analysis of a constructive matheuristic for the traveling umpire problem. <em>Journal of Quantitative Analysis in Sports</em>, Vol 15(1), pp. 41-57. </div> <div class="padding-3 margin-top-3 ltr justify">De Werra, D. (1981). Scheduling in sports. Studies on graphs and discrete programming, 11, 381-395. </div> <div class="padding-3 margin-top-3 ltr justify">Durán, G., Durán, S., Marenco, J., Mascialino, F., and Rey, P. A. (2019). Scheduling Argentina’s professional basketball leagues: A variation on the Travelling Tournament Problem. <em>European Journal of Operational Research</em>, Vol 275(3), pp. 1126-1138. </div> <div class="padding-3 margin-top-3 ltr justify">Durán, G., Guajardo, M., and Gutiérrez, F. (2021). Efficient referee assignment in Argentinean professional basketball leagues using operations research methods. <em>Annals of Operations Research</em>, pp. 1-19. </div> <div class="padding-3 margin-top-3 ltr justify">Garey, M. R., and Johnson, D. S. (1979). <em>Computers and intractability</em> (Vol. 174). San Francisco: freeman. </div> <div class="padding-3 margin-top-3 ltr justify">Günneç, D., and Demir, E. (2019). Fair fixture: Minimizing carry-over effects in football leagues. <em>Journal of Industrial and Management Optimization</em>, Vol 15(4), pp. 1565-1577. </div> <div class="padding-3 margin-top-3 ltr justify">Kendall, G., Knust, S., Ribeiro, C. C., and Urrutia, S. (2010). Scheduling in sports: An annotated bibliography. <em>Computers & Operations Research</em>, Vol 37(1), pp. 1-19. </div> <div class="padding-3 margin-top-3 ltr justify">Kim, T. (2019). Optimal approach to game scheduling of multiple round-robin tournament: Korea professional baseball league in focus. <em>Computers & Industrial Engineering</em>, Vpol 136, pp. 95-105. </div> <div class="padding-3 margin-top-3 ltr justify">Kyngäs, J., Nurmi, K., Kyngäs, N., Lilley, G., Salter, T., and Goossens, D. (2017). Scheduling the Australian football league. <em>Journal of the Operational Research Society</em>, Vol 68(8), pp. 973-982. </div> <div class="padding-3 margin-top-3 ltr justify">Mancini, S., and Isabello, A. (2014). Fair referee assignment for the Italian soccer serieA. <em>Journal of Quantitative Analysis in Sports</em>, Vol 10(2), pp. 153-160. </div> <div class="padding-3 margin-top-3 ltr justify">Pinedo, M. (2005). Planning and scheduling in manufacturing and services. Springer (New York). </div> <div class="padding-3 margin-top-3 ltr justify">Rasmussen, R. V., and Trick, M. A. (2007). A Benders approach for the constrained minimum break problem. <em>European Journal of Operational Research</em>, Vol 177(1), pp. 198-213. </div> <div class="padding-3 margin-top-3 ltr justify">Recalde, D., Torres, R., and Vaca, P. (2013). Scheduling the professional Ecuadorian football league by integer programming. <em>Computers & operations research</em>, Vol 40(10), pp. 2478-2484. </div> <div class="padding-3 margin-top-3 ltr justify">Russell, R. A., and Urban, T. L. (2006). A constraint programming approach to the multiple-venue, sport-scheduling problem. <em>Computers & Operations Research</em>, Vol 33(7), pp. 1895-1906. </div> <div class="padding-3 margin-top-3 ltr justify">Turhan, A. M., and Bilgen, B. (2020). A hybrid fix-and-optimize and simulated annealing approaches for nurse rostering problem. <em>Computers and Industrial Engineering</em>, 106531. </div> <div class="padding-3 margin-top-3 ltr justify">Urban, T. L., and Russell, R. A. (2003). Scheduling sports competitions on multiple venues. European Journal of operational research, Vol 148(2), pp. 302-311. </div> <div class="padding-3 margin-top-3 ltr justify">Van Bulck, D., and Goossens, D. (2020). Handling fairness issues in time-relaxed tournaments with availability constraints. <em>Computers & Operations Research</em>, 115, 104856. </div> <div class="padding-3 margin-top-3 ltr justify">Van Bulck, D., and Goossens, D. (2021). Relax-fix-optimize heuristics for time-relaxed sports timetabling. <em>INFOR: Information Systems and Operational Research,</em> Vol 59(4), pp. 623-638. </div> <div class="padding-3 margin-top-3 ltr justify">Wright, M. (Ed.). (2016). <em>Operational Research Applied to Sports</em>. Springer. </div> <div class="padding-3 margin-top-3 ltr justify">Wright, M. (2018). Scheduling an amateur cricket league over a nine-year period. <em>Journal of the Operational Research Society</em>, Vol 69(11), pp. 1854-1862.</div> </div> </div> </div> </div> </div>   <div class="col-lg-3 col-md-3 col-sm-4"> <div class="panel panel-default my_panel-default margin-bottom-10"> <div class="panel-body ar_info_pnl" id="ar_info_pnl_cover"> <div id="pnl_cover"> <div class="row" > <div class="col-xs-6 col-md-6 nomargin-bottom"> <a href="javascript:loadModal('International Journal of Supply and Operations Management', './data/ijsom/coversheet/cover_en.jpg')"> <img src="data/ijsom/coversheet/cover_en.jpg" alt="International Journal of Supply and Operations Management" style="width: 100%;"> </a> </div> <div class="col-xs-6 col-md-6 nomargin-bottom"> <h6><a href="./issue_536_538.html">Volume 10, Issue 2</a><br/>May 2023<div id="sp_ar_pages">Pages <span dir="ltr">174-186</span></div></h6> </div> </div> </div> </div> </div>  <div class="panel panel-default my_panel-default 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<ul class="list-group list-group-bordered list-group-noicon" style="display:block !important;max-height:9999px"> <li class="list-group-item"><a class="tag_a">Article View: <i>741</i></a></li> <li class="list-group-item"><a class="tag_a">PDF Download: <i>466</i></a></li> </ul> </div> </div> </div> </div>  </div> </section> <div id="cite-apa" class="modal fade" tabindex="-1" role="dialog" aria-labelledby="myModalLabel" aria-hidden="true"> <div class="modal-dialog"> <div class="modal-content">  <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">APA</h4> </div>  <div class="modal-body"> <p>Iranpoor, M., Aghadavoudi Jolfaei, A., & Batavani, M. (2023). Integrated Scheduling of Sports Events: A Macroscopic Perspective. <em>International Journal of Supply and Operations Management</em>, 10(2), 174-186. doi: 10.22034/ijsom.2022.108533.1765</p> </div> </div> </div> </div> <div id="cite-mla" class="modal fade" tabindex="-1" role="dialog" aria-labelledby="myModalLabel" aria-hidden="true"> <div class="modal-dialog"> <div class="modal-content">  <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">MLA</h4> </div>  <div class="modal-body"> <p>Mehdi Iranpoor; Ali Aghadavoudi Jolfaei; Mohammadreza Batavani. "Integrated Scheduling of Sports Events: A Macroscopic Perspective". <em>International Journal of Supply and Operations Management</em>, 10, 2, 2023, 174-186. doi: 10.22034/ijsom.2022.108533.1765</p> </div> </div> </div> </div> <div id="cite-harvard" class="modal fade" tabindex="-1" role="dialog" aria-labelledby="myModalLabel" aria-hidden="true"> <div class="modal-dialog"> <div class="modal-content">  <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">HARVARD</h4> </div>  <div class="modal-body"> <p>Iranpoor, M., Aghadavoudi Jolfaei, A., Batavani, M. (2023). 'Integrated Scheduling of Sports Events: A Macroscopic Perspective', <em>International Journal of Supply and Operations Management</em>, 10(2), pp. 174-186. doi: 10.22034/ijsom.2022.108533.1765</p> </div> </div> </div> </div> <div id="cite-vancouver" class="modal fade" tabindex="-1" role="dialog" aria-labelledby="myModalLabel" aria-hidden="true"> <div class="modal-dialog"> <div class="modal-content">  <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">VANCOUVER</h4> </div>  <div class="modal-body"> <p>Iranpoor, M., Aghadavoudi Jolfaei, A., Batavani, M. Integrated Scheduling of Sports Events: A Macroscopic Perspective. <em>International Journal of Supply and Operations Management</em>, 2023; 10(2): 174-186. doi: 10.22034/ijsom.2022.108533.1765</p> </div> </div> </div> </div> </div> </div>   <section class="alternate padding-xxs"> </section>   <div class="container"> <footer id="footer"> <div class="scrollup" id="scroll" href="#"><span></span></div> <div class="row"> <div class="col-md-2">  <h4 class="">Explore Journal</h4> <ul class="footer-links list-unstyled"> <li id="fli_home"><a href="./">Home</a></li> <li id="fli_about"><a href="./journal/about">About Journal</a></li> <li id="fli_Edb"><a href="./journal/editorial.board">Editorial Board</a></li> <li id="fli_submit"><a href="./author">Submit Manuscript</a></li> <li id="fli_contactus"><a href="./journal/contact.us">Contact Us</a></li> <li id="fli_glossary"><a href="./journal/glossary">Glossary</a></li> <li id="fli_order_hrdj"><a href="./journal/subscription.form">Hard Copy Subscription</a></li> <li id="fli_sitemap"><a href="./sitemap.xml?usr">Sitemap</a></li> </ul>  </div> <div class="col-md-3">  <h4 class="">Latest News</h4> <ul class="footer-posts list-unstyled"> <li> <a href="./news?newsCode=173">SD of ISC: Sustainable Development of Intelligent Supply Chains based on Trends and Future Directions: Application of Novel Solution Techniques</a> <small class="ltr">2023-03-05</small> </li> </ul>  </div> <div class="col-md-3">  <div><p><a title="Linkedin" href="http://www.linkedin.com/company/ijsom?trk=eml-cp_mktg-btn-welcome-20120607%2F"><img src="images/linkedin.jpg" alt="linkedin" /></a></p></div>  </div> <div class="col-md-4">  <h4 class="">Newsletter Subscription</h4> <p>Subscribe to the journal newsletter and receive the latest news and updates</p> <form class="validate" action="" method="post" data-success="Subscription saved successfully." data-toastr-position="bottom-right"> <input type="hidden" name="_token" value="51adc5e38044a801fc6ddddd9852aa69fcb5c8162cfbe055"/> <div class="input-group"> <span class="input-group-addon"><i class="fa fa-envelope"></i></span> <input type="email" id="email" name="email" required="required" class="form-control required sbs_email" placeholder="Enter your Email" oninvalid="this.setCustomValidity('Enter a valid email address.')" oninput="this.setCustomValidity('')"> <span class="input-group-btn"> <button class="btn btn-primary mybtn" type="submit">Subscribe</button> </span> </div> </form>   <div class="margin-top-20"> <a class="noborder" href="" target="_blank" class="social-icon social-icon-border social-facebook pull-left block" data-toggle="tooltip" data-placement="top" title="Facebook"> <i class="fa fa-facebook-square" aria-hidden="true"></i> </a> <a class="noborder" href="" target="_blank" class="social-icon social-icon-border social-facebook pull-left block" data-toggle="tooltip" data-placement="top" title="Twitter"> <i class="fa fa-twitter-square" aria-hidden="true"></i> </a> <a class="noborder" href="" target="_blank" class="social-icon social-icon-border social-facebook pull-left block" data-toggle="tooltip" data-placement="top" title="Linkedin"> <i class="fa fa-linkedin-square" aria-hidden="true"></i> </a> <a class="noborder" href="./ju.rss" class="social-icon social-icon-border social-rss pull-left block" data-toggle="tooltip" data-placement="top" title="Rss"><i class="fa fa-rss-square" aria-hidden="true"></i></a> </div> </div> </div> <div class="copyright" style="position: relative"> <ul class="nomargin list-inline mobile-block"> <li>© Journal Management System. <span id='sp_crt'>Powered by <a target='_blank' href='https://www.sinaweb.net/'>Sinaweb</a></span></li> </ul> </div> </footer> </div>  </div>   <a href="#" id="toTop_old"></a>  <div id="preloader"> <div class="inner"> <span class="loader"></span> </div> </div>  <script type="text/javascript">var plugin_path = './themes/base/front/assets/plugins/';</script> <script type="text/javascript" src="./themes/base/front/assets/js/scripts.js?v=0.02"></script>   <script type="text/javascript"> $('ul.nav li.dropdown').hover(function() { if (window.matchMedia('(max-width: 767px)').matches) return; 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Integrated Scheduling of Sports Events: A Macroscopic Perspective