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            <front>

                <journal-meta>
                                                                <journal-id>saucis</journal-id>
            <journal-title-group>
                                                                                    <journal-title>Sakarya University Journal of Computer and Information Sciences</journal-title>
            </journal-title-group>
                                        <issn pub-type="epub">2636-8129</issn>
                                                                                            <publisher>
                    <publisher-name>Sakarya University</publisher-name>
                </publisher>
                    </journal-meta>
                <article-meta>
                                        <article-id pub-id-type="doi">10.35377/saucis...1610018</article-id>
                                                                <article-categories>
                                            <subj-group  xml:lang="en">
                                                            <subject>Software Engineering (Other)</subject>
                                                    </subj-group>
                                            <subj-group  xml:lang="tr">
                                                            <subject>Yazılım Mühendisliği (Diğer)</subject>
                                                    </subj-group>
                                    </article-categories>
                                                                                                                                                        <title-group>
                                                                                                                                                            <article-title>Analysis of Queue Models in Simulation Applications</article-title>
                                                                                                    </title-group>
            
                                                    <contrib-group content-type="authors">
                                                                        <contrib contrib-type="author">
                                                                    <contrib-id contrib-id-type="orcid">
                                        https://orcid.org/0000-0001-9694-0870</contrib-id>
                                                                <name>
                                    <surname>Sevin</surname>
                                    <given-names>Abdullah</given-names>
                                </name>
                                                                    <aff>SAKARYA UNIVERSITY</aff>
                                                            </contrib>
                                                    <contrib contrib-type="author">
                                                                    <contrib-id contrib-id-type="orcid">
                                        https://orcid.org/0009-0000-9276-3029</contrib-id>
                                                                <name>
                                    <surname>Yaman</surname>
                                    <given-names>Göktuğ</given-names>
                                </name>
                                                                    <aff>SAKARYA UNIVERSITY</aff>
                                                            </contrib>
                                                    <contrib contrib-type="author">
                                                                    <contrib-id contrib-id-type="orcid">
                                        https://orcid.org/0000-0002-0586-6431</contrib-id>
                                                                <name>
                                    <surname>Atilgan</surname>
                                    <given-names>Durdali</given-names>
                                </name>
                                                                    <aff>SAKARYA UNIVERSITY</aff>
                                                            </contrib>
                                                                                </contrib-group>
                        
                                        <pub-date pub-type="pub" iso-8601-date="20250328">
                    <day>03</day>
                    <month>28</month>
                    <year>2025</year>
                </pub-date>
                                        <volume>8</volume>
                                        <issue>1</issue>
                                        <fpage>123</fpage>
                                        <lpage>135</lpage>
                        
                        <history>
                                    <date date-type="received" iso-8601-date="20250107">
                        <day>01</day>
                        <month>07</month>
                        <year>2025</year>
                    </date>
                                                    <date date-type="accepted" iso-8601-date="20250318">
                        <day>03</day>
                        <month>18</month>
                        <year>2025</year>
                    </date>
                            </history>
                                        <permissions>
                    <copyright-statement>Copyright © 2018, Sakarya University Journal of Computer and Information Sciences</copyright-statement>
                    <copyright-year>2018</copyright-year>
                    <copyright-holder>Sakarya University Journal of Computer and Information Sciences</copyright-holder>
                </permissions>
            
                                                                                                                        <abstract><p>With the advancement of technology, the speed and efficiency of information processing have become vital for meeting the growing demands of individuals and organizations. As time constraints increase, rapid and accurate access to information has gained critical importance. To address these challenges, organizations in the business and public sectors are increasingly relying on simulation methods, a core area of computer science, to optimize their responses to customer demands. Simulation provides a robust framework for analyzing and modeling complex systems. Within this framework, queue theory plays a central role by examining how systems handle incoming demands and offering insights into improving resource utilization, minimizing waiting times, and enhancing overall performance, particularly in service industries.This study provides a detailed analysis of queue theory, exploring its fundamental principles, key features, and various models. Additionally, a comparative evaluation of different queueing models is conducted through simulation, assessing key performance metrics such as server utilization, maximum queue length, and average response time. The results indicate that model selection significantly impacts system efficiency, with certain models exhibiting superior performance under specific conditions. These insights equip organizations with the tools to develop more effective strategies, optimize their processes, and enhance responsiveness to evolving demands.</p></abstract>
                                                            
            
                                                                                        <kwd-group>
                                                    <kwd>Simulation</kwd>
                                                    <kwd>  Queue theory</kwd>
                                                    <kwd>  Performance metrics</kwd>
                                                    <kwd>  Resource utilization</kwd>
                                                    <kwd>  System modeling</kwd>
                                            </kwd-group>
                            
                                                                                                                                                    </article-meta>
    </front>
    <back>
                            <ref-list>
                                    <ref id="ref1">
                        <label>1</label>
                        <mixed-citation publication-type="journal">Sztrik, J. (2016). Basic queueing theory. OmniScriptum GmbH, KG, Saarbrucken, Germany: GlobeEdit.</mixed-citation>
                    </ref>
                                    <ref id="ref2">
                        <label>2</label>
                        <mixed-citation publication-type="journal">Ulaş, M. (2007). İki hizmet kanalına sahip kuyruk sistemlerinin analizi. Fen Bilimleri Enstitüsü-İstatistik Anabilim Dalı., Fırat Üniverstiesi, Yüksek Lisans Tezi.</mixed-citation>
                    </ref>
                                    <ref id="ref3">
                        <label>3</label>
                        <mixed-citation publication-type="journal">Şimşek, H. (2004). Kuyruk teorisinin İstanbul Boğazı tanker ve gemi geçişleri ile Haydarpaşa Limanı konteyner terminaline uygulanması İstanbul Teknik Üniversitesi, Doktora Tezi.</mixed-citation>
                    </ref>
                                    <ref id="ref4">
                        <label>4</label>
                        <mixed-citation publication-type="journal">Kiremitçi, S., (2011). Denizyolu Yük Taşımacılığında Rotalama ve Çizelgeleme, in Sosyal Bilimler Enstitüsü - İşletme Anabilim Dalı. İstanbul Üniversitesi, Doktora Tezi.</mixed-citation>
                    </ref>
                                    <ref id="ref5">
                        <label>5</label>
                        <mixed-citation publication-type="journal">Parlak, Ş., (2008). Hastane Randevu Sisteminin Hastalar Açısından Değerlendirilmesi, in Sağlık Bilimleri Enstitüsü, Sağlık Yönetimi Anabilim Dalı. Necmettin Erbakan Üniversitesi, Yüksek Lisans Tezi.</mixed-citation>
                    </ref>
                                    <ref id="ref6">
                        <label>6</label>
                        <mixed-citation publication-type="journal">Batur, B.S., (2008). Hava Yolcu ve Kargo Taşımacılığı: Dünya&#039;da ve Türkiye&#039;de Uygulamalar, in Sosyal Bilimler Enstitüsü - İşletme Anabilim Dalı. Dokuz Eylül Üniversitesi, Yüksek Lisans Tezi.</mixed-citation>
                    </ref>
                                    <ref id="ref7">
                        <label>7</label>
                        <mixed-citation publication-type="journal">Chaves, C.R., (2016). Approximation for Single-channel Multi-server Queues and Queuing Networks with Generally Distributed Inter-arrival and Service times in Engineering Management and Systems Engineering. 2016, Missouri University of Science and Technology, Doctoral Thesis.</mixed-citation>
                    </ref>
                                    <ref id="ref8">
                        <label>8</label>
                        <mixed-citation publication-type="journal">Adan, I., &amp; Resing, J. (2015). Department of Mathematics and Computing Science Eindhoven University of Technology PO Box 513, 5600 MB Eindhoven, The Netherlands March 26, 2015.</mixed-citation>
                    </ref>
                                    <ref id="ref9">
                        <label>9</label>
                        <mixed-citation publication-type="journal">Ertuğrul, İ., Birsen, B., &amp; Özçil, A. (2015). İki bankanın farklı şubelerindeki müşteri bekleme sürelerinin kuyruk modeliyle etkinlik analizi. Çankırı Karatekin Üniversitesi İktisadi ve İdari Bilimler Fakültesi Dergisi, 5(1), 275-292.</mixed-citation>
                    </ref>
                                    <ref id="ref10">
                        <label>10</label>
                        <mixed-citation publication-type="journal">Majid, S., &amp; Manoharan, P. (2017). Analysis of a M/M/c queue with single and multiple synchronous working vacations. Applications and Applied Mathematics: An International Journal (AAM), 12(2), 3.</mixed-citation>
                    </ref>
                                    <ref id="ref11">
                        <label>11</label>
                        <mixed-citation publication-type="journal">Yıldız, M. S., &amp; Arslan, H. M. (2013). Bekleme Hatti Modeliyle Servis Sisteminin Analizi: Düzce Üniversitesi Merkez Yemekhanesi Örneği. Journal of Management and Economics Research, 11(21), 169-184.</mixed-citation>
                    </ref>
                                    <ref id="ref12">
                        <label>12</label>
                        <mixed-citation publication-type="journal">Maragathasundari, S., Prabhu, C., &amp; Palanivel, M. (2020). A study on stages of queuing system in aircraft control system. 3C Tecnología. Glosas de innovación aplicadas a la pyme. Edición Especial, Marzo 2020, 91-111. http://doi.org/10.17993/3ctecno.2020.specialissue4.91-111.</mixed-citation>
                    </ref>
                                    <ref id="ref13">
                        <label>13</label>
                        <mixed-citation publication-type="journal">Lan, S., &amp; Tang, Y. (2017). Performance analysis of a discrete-time queue with working breakdowns and searching for the optimum service rate in working breakdown period. Journal of Systems Science and Information, 5(2), 176-192.</mixed-citation>
                    </ref>
                                    <ref id="ref14">
                        <label>14</label>
                        <mixed-citation publication-type="journal">Kim, D. U., Jie, M. S., &amp; Choi, W. H. (2018). Airport simulation based on queuing model using ARENA. International Journal of Advanced Science and Technology, 115, 125-134.</mixed-citation>
                    </ref>
                                    <ref id="ref15">
                        <label>15</label>
                        <mixed-citation publication-type="journal">Ademoh, N. A., &amp; Anosike, E. N. (2014). Queuing modelling of air transport passengers of Nnamdi Azikiwe international airport Abuja, Nigeria using multi server approach. Middle East Journal of Scientific Research, 21(12), 2326-2338.</mixed-citation>
                    </ref>
                                    <ref id="ref16">
                        <label>16</label>
                        <mixed-citation publication-type="journal">Smith, D. K. (2002). Calculation of steady-state probabilities of M/M queues: further approaches. Journal of Applied Mathematics and Decision Sciences, 6(1), 43-50.</mixed-citation>
                    </ref>
                                    <ref id="ref17">
                        <label>17</label>
                        <mixed-citation publication-type="journal">Jawab, F., Khachani, M., Akoudad, K., Moufad, I., Frichi, Y., Laaraj, N., &amp; Zehmed, K. (2018, July). Queuing model for improving airport passengers treatment process. In Proceedings of the ICIEOM: International Conference on Industrial Engineering and Operations Management (July 26-27, 2018, Paris, France) (pp. 2095-2107).</mixed-citation>
                    </ref>
                                    <ref id="ref18">
                        <label>18</label>
                        <mixed-citation publication-type="journal">Girginer, N., &amp; Şahin, B. (2007). Spor Tesislerinde Kuyruk Problemine Yönelik Bir Benzetim Uygulamasi. Spor Bilimleri Dergisi, 18(1), 13-30.</mixed-citation>
                    </ref>
                                    <ref id="ref19">
                        <label>19</label>
                        <mixed-citation publication-type="journal">Kumar, R., Som, B. K., &amp; Jain, S. (2015). An M/M/1/N feedback queuing system with reverse balking. Journal of Reliability and Statistical Studies, 31-38.</mixed-citation>
                    </ref>
                                    <ref id="ref20">
                        <label>20</label>
                        <mixed-citation publication-type="journal">Artalejo, J., &amp; Falin, G. (2002). Standard and retrial queueing systems: a comparative analysis. Revista matemática complutense, 15(1), 101-129.</mixed-citation>
                    </ref>
                                    <ref id="ref21">
                        <label>21</label>
                        <mixed-citation publication-type="journal">Smith, P. J., Firag, A., Dmochowski, P. A., &amp; Shafi, M. (2012). Analysis of the M/M/N/N queue with two types of arrival process: applications to future mobile radio systems. Journal of Applied Mathematics, 2012(1), 123808.</mixed-citation>
                    </ref>
                                    <ref id="ref22">
                        <label>22</label>
                        <mixed-citation publication-type="journal">Ibe, O. C., &amp; Isijola, O. A. (2014). M/M/1 multiple vacation queueing systems with differentiated vacations. Modelling and Simulation in Engineering, 2014(1), 158247.</mixed-citation>
                    </ref>
                                    <ref id="ref23">
                        <label>23</label>
                        <mixed-citation publication-type="journal">Vandaele, N., Van Woensel, T., &amp; Verbruggen, A. (2000). A queueing based traffic flow model. Transportation Research Part D: Transport and Environment, 5(2), 121-135.</mixed-citation>
                    </ref>
                                    <ref id="ref24">
                        <label>24</label>
                        <mixed-citation publication-type="journal">Kumar, R. (2017). A transient solution to the M/M/c queuing model equation with balking and catastrophes. Croatian Operational Research Review, 577-591.</mixed-citation>
                    </ref>
                                    <ref id="ref25">
                        <label>25</label>
                        <mixed-citation publication-type="journal">Wang, S.; Zhu, L. (2004): “A Dynamic Queuing Model,” Chinese Journal of Economic. Theory, 1, 14–35.</mixed-citation>
                    </ref>
                                    <ref id="ref26">
                        <label>26</label>
                        <mixed-citation publication-type="journal">Sharma, A. K., &amp; Sharma, G. K. (2013). Queueing theory approach with queueing model: A study. International Journal of Engineering Science Invention, 2(2), 1-11.</mixed-citation>
                    </ref>
                                    <ref id="ref27">
                        <label>27</label>
                        <mixed-citation publication-type="journal">Christien, R., Hoffman, E., Trzmiel, A., &amp; Zeghal, K. (2018). An extended analysis of sequencing arrivals at three major European airports. In AIAA Aviaiton Technology, Integrations, and Operations Conference. 2018: Atlanta - Georgia (USA).</mixed-citation>
                    </ref>
                                    <ref id="ref28">
                        <label>28</label>
                        <mixed-citation publication-type="journal">Mehri, H., &amp; Djemel, T. (2009). Solving of waiting lines models in the airport using queuing theory model and linear programming. ROADEF 2009, 35.</mixed-citation>
                    </ref>
                                    <ref id="ref29">
                        <label>29</label>
                        <mixed-citation publication-type="journal">Chew, S. (2019). Continuous-Service M/M/1 Queuing Systems. Applied System Innovation, 2(2), 16.</mixed-citation>
                    </ref>
                                    <ref id="ref30">
                        <label>30</label>
                        <mixed-citation publication-type="journal">Winston, W. L. (1991). Operations research: applications and algorithms. Boston, MA: PWS-Kent Publishing Company.</mixed-citation>
                    </ref>
                                    <ref id="ref31">
                        <label>31</label>
                        <mixed-citation publication-type="journal">Awasthi, B. (2018). Performance analysis of M/M/1/k finite capacity queuing model with reverse balking and reverse reneging. J. Comp. Math. Sci, 9(7), 850-855.</mixed-citation>
                    </ref>
                                    <ref id="ref32">
                        <label>32</label>
                        <mixed-citation publication-type="journal">Seth, S. &amp; Som, B. (2017). An M/M/1/N Queuing system with Encouraged Arrivals. Global Journal of Pure and Applied Mathematics, 13(7): p. 3443-3453.</mixed-citation>
                    </ref>
                                    <ref id="ref33">
                        <label>33</label>
                        <mixed-citation publication-type="journal">Jhala, N., &amp; Bhathawala, P. (2017). Application of Queueing Theory to Airport Related Problems. Global Journal of Pure and Applied Mathematics, 13(7): p. 3863-3868.</mixed-citation>
                    </ref>
                                    <ref id="ref34">
                        <label>34</label>
                        <mixed-citation publication-type="journal">Çevik, O. Yazgan, A. E. (2008). Hizmet Üreten Bir Sistemin Bekleme Hattı (Kuyruk) Modeli İleEtkinliğinin Ölçülmesi. Niğde Üniversitesi İktisadi ve idari bilimler fakültesi dergisi, 1(2), 117-124.119-128.</mixed-citation>
                    </ref>
                                    <ref id="ref35">
                        <label>35</label>
                        <mixed-citation publication-type="journal">Poongodi, T., &amp; Muthulakshmi, S. (2013). Control chart for waiting time in system of (m/m/1):(?/fcfs) queuing model. International Journal of Computer Applications, 63(3).</mixed-citation>
                    </ref>
                                    <ref id="ref36">
                        <label>36</label>
                        <mixed-citation publication-type="journal">Massey, W. A. (1985). Asymptotic analysis of the time dependent M/M/1 queue. Mathematics of Operations Research, 10(2), 305-327.</mixed-citation>
                    </ref>
                                    <ref id="ref37">
                        <label>37</label>
                        <mixed-citation publication-type="journal">Idris, H. R., Anagnostakis, I., Delcaire, B., Hansman, R. J., Clarke, J. P., Feron, E., &amp; Odoni, A. R. (1999). Observations of departure processes at logan airport to support the development of departure planning tools. Air Traffic Control Quarterly, 7(4), 229-257.</mixed-citation>
                    </ref>
                                    <ref id="ref38">
                        <label>38</label>
                        <mixed-citation publication-type="journal">Shone, R., Glazebrook, K., &amp; Zografos, K. (2018, September). Stochastic modelling of aircraft queues: A review. In OR60: The OR Society Annual Conference (pp. 61-83).</mixed-citation>
                    </ref>
                                    <ref id="ref39">
                        <label>39</label>
                        <mixed-citation publication-type="journal">Tiwari, S. K., Gupta, V. K., &amp; Joshi, T. N. (2016). M/M/S queueing theory model to solve waiting lines and minimize estimated total cost. International Journal of Science and Research, 5(5), 1901-1904.</mixed-citation>
                    </ref>
                                    <ref id="ref40">
                        <label>40</label>
                        <mixed-citation publication-type="journal">Thiagaraj, H. B., &amp; Seshaiah, C. V. (2014). A queueing model for airport capacity and delay analysis. Applied Mathematical Sciences, 8(72), 3561-3575.</mixed-citation>
                    </ref>
                                    <ref id="ref41">
                        <label>41</label>
                        <mixed-citation publication-type="journal">Bertsimas, D. J., &amp; Nakazato, D. (1992). Transient and busy period analysis of the GI/G/1 queue: the method of stages. Queueing Systems, 10, 153-184.</mixed-citation>
                    </ref>
                                    <ref id="ref42">
                        <label>42</label>
                        <mixed-citation publication-type="journal">Karapetyan, D., Atkin, J. A., Parkes, A. J., &amp; Castro-Gutierrez, J. (2017). Lessons from building an automated pre-departure sequencer for airports. Annals of Operations Research, 252, 435-453.</mixed-citation>
                    </ref>
                                    <ref id="ref43">
                        <label>43</label>
                        <mixed-citation publication-type="journal">Aydın, A. (2009). Metasezgisel yöntemlerle uçak çizelgeleme problemi optimizasyonu (Doctoral dissertation, Marmara Universitesi (Türkiye).</mixed-citation>
                    </ref>
                                    <ref id="ref44">
                        <label>44</label>
                        <mixed-citation publication-type="journal">Arslan, Ş., (2011) Uçakların Terminal Kapılarına Atanması Probleminin Farklı Yöntemlerle Çözümü ve Uygulaması, in Endüstri Mühendisliği Anabilim Dalı - Endüstri Mühendisliği Programı. Yıldız Teknik Üniversitesi, Yüksek Lisans Tezi</mixed-citation>
                    </ref>
                                    <ref id="ref45">
                        <label>45</label>
                        <mixed-citation publication-type="journal">Doğan, B. (2019). Beklenmedik uçak yönlendirmelerini azaltma: zaman serisi analizi ve yapay sinir ağları ile modelleme. Ankara: TOBB ETÜ Fen Bilimleri Enstitüsü, Yüksek Lisans Tezi.</mixed-citation>
                    </ref>
                                    <ref id="ref46">
                        <label>46</label>
                        <mixed-citation publication-type="journal">Fatima, A., Singh, V., Singh, S., &amp; Khanna, P. (2025). Navigating queues in healthcare: A comparative analysis of queue management systems in healthcare. Recent Advances in Sciences, Engineering, Information Technology &amp; Management, 172-178.</mixed-citation>
                    </ref>
                                    <ref id="ref47">
                        <label>47</label>
                        <mixed-citation publication-type="journal">Anitha, K., Poongothai, V., &amp; Godhandaraman, P. (2025). Performance analysis of a queueing system with tandem nodes, retrial, and server vacations. Results in Control and Optimization, Volume 18, 100520.</mixed-citation>
                    </ref>
                                    <ref id="ref48">
                        <label>48</label>
                        <mixed-citation publication-type="journal">Dhibar, S., &amp; Jain, M. (2025). Metaheuristics and strategic behavior of markovian retrial queue under breakdown, vacation, and Bernoulli feedback. Applied Intelligence, 55(4), 273.</mixed-citation>
                    </ref>
                                    <ref id="ref49">
                        <label>49</label>
                        <mixed-citation publication-type="journal">Amjath, M., Kerbache, L., Elomri, A., &amp; Smith, J. M. (2024). Queueing network models for analyzing and optimizing material handling systems: a systematic literature review. Flexible Services and Manufacturing Journal, 36(2), 668-709.</mixed-citation>
                    </ref>
                                    <ref id="ref50">
                        <label>50</label>
                        <mixed-citation publication-type="journal">Ambika, K., Vijayashree, K. V., &amp; Janani, B. (2024). Modelling and analysis of production management system using vacation queueing theoretic approach. Applied Mathematics and Computation, 479, 128856.</mixed-citation>
                    </ref>
                                    <ref id="ref51">
                        <label>51</label>
                        <mixed-citation publication-type="journal">Cakmak, M., &amp; Torun, C. (2021). Performance comparison of queue management algorithms in LTE networks using NS-3 simulator. Tehnički vjesnik, 28(1), 135-142.</mixed-citation>
                    </ref>
                                    <ref id="ref52">
                        <label>52</label>
                        <mixed-citation publication-type="journal">Çakmak, M., &amp; Albayrak, Z. (2018). A Review: Active queue management algorithms in mobile communication. In 2018 International Conference on Advanced Technologies, Computer Engineering and Science (ICONCS) (pp. 180-184).</mixed-citation>
                    </ref>
                                    <ref id="ref53">
                        <label>53</label>
                        <mixed-citation publication-type="journal">Çakmak, M., &amp; Albayrak, Z. (2020). LTE Ağlarda Remote-Host ile PG-W Arasındaki Kuyruk Yönetim Algoritmalarının Performans Analizi. Academic Platform-Journal of Engineering and Science, 8(3), 456-463.</mixed-citation>
                    </ref>
                                    <ref id="ref54">
                        <label>54</label>
                        <mixed-citation publication-type="journal">Gundogar, E., Sari, M., &amp; Kokcam, A. H. (2016). Dynamic bottleneck elimination in mattress manufacturing line using theory of constraints. SpringerPlus, 5, 1-15.</mixed-citation>
                    </ref>
                                    <ref id="ref55">
                        <label>55</label>
                        <mixed-citation publication-type="journal">Newell, C. (2013). Applications of queueing theory (Vol. 4). Springer Science &amp; Business Media.</mixed-citation>
                    </ref>
                                    <ref id="ref56">
                        <label>56</label>
                        <mixed-citation publication-type="journal">Consul, P. C., &amp; Jain, G. C. (1973). A generalization of the Poisson distribution. Technometrics, 15(4), 791-799.</mixed-citation>
                    </ref>
                                    <ref id="ref57">
                        <label>57</label>
                        <mixed-citation publication-type="journal">Boxma, O. J., &amp; Yechiali, U. (2007). Poisson processes, ordinary and compound. Encyclopedia of statistics in quality and reliability, 1-12.</mixed-citation>
                    </ref>
                                    <ref id="ref58">
                        <label>58</label>
                        <mixed-citation publication-type="journal">Steckley, S. G., Henderson, S. G., &amp; Mehrotra, V. (2009). Forecast errors in service systems. Probability in the Engineering and Informational Sciences, 23(2), 305-332.</mixed-citation>
                    </ref>
                                    <ref id="ref59">
                        <label>59</label>
                        <mixed-citation publication-type="journal">Tan, X., Knessl, C., &amp; Yang, Y. P. (2013). On finite capacity queues with time dependent arrival rates. Stochastic Processes and their Applications, 123(6), 2175-2227.</mixed-citation>
                    </ref>
                                    <ref id="ref60">
                        <label>60</label>
                        <mixed-citation publication-type="journal">Massey, W. A., &amp; Whitt, W. (1993). Networks of infinite-server queues with nonstationary Poisson input. Queueing Systems, 13, 183-250.</mixed-citation>
                    </ref>
                                    <ref id="ref61">
                        <label>61</label>
                        <mixed-citation publication-type="journal">Tilt, B., &amp; Balachandran, K. R. (1979). Stable and superstable customer policies in queues with balking and priority options. European Journal of Operational Research, 3(6), 485-498.</mixed-citation>
                    </ref>
                                    <ref id="ref62">
                        <label>62</label>
                        <mixed-citation publication-type="journal">Manitz, M. (2015). Analysis of assembly/disassembly queueing networks with blocking after service and general service times. Annals of Operations Research, 226, 417-441.</mixed-citation>
                    </ref>
                                    <ref id="ref63">
                        <label>63</label>
                        <mixed-citation publication-type="journal">Daskin, M. S. (2021). Fundamentals of Queueing Theory. In Bite-Sized Operations Management. Cham: Springer International Publishing.</mixed-citation>
                    </ref>
                                    <ref id="ref64">
                        <label>64</label>
                        <mixed-citation publication-type="journal">Dshalalow, J. H. (2023). Advances in Queueing Theory, Methods, and Open Problems. CRC Press.</mixed-citation>
                    </ref>
                                    <ref id="ref65">
                        <label>65</label>
                        <mixed-citation publication-type="journal">Gautam, N. (2012). Analysis of queues. CRC Press, LLC, Boca Raton, Florida, United States, 10, 2222496.</mixed-citation>
                    </ref>
                                    <ref id="ref66">
                        <label>66</label>
                        <mixed-citation publication-type="journal">Yang, K. K., Cayirli, T., &amp; Low, J. M. (2016). Predicting the performance of queues–A data analytic approach. Computers &amp; Operations Research, 76, 33-42.</mixed-citation>
                    </ref>
                            </ref-list>
                    </back>
    </article>
