<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE article PUBLIC "-//NLM//DTD JATS (Z39.96) Journal Publishing DTD v1.4 20241031//EN"
        "https://jats.nlm.nih.gov/publishing/1.4/JATS-journalpublishing1-4.dtd">
<article  article-type="research-article"        dtd-version="1.4">
            <front>

                <journal-meta>
                                                                <journal-id>jismar</journal-id>
            <journal-title-group>
                                                                                    <journal-title>Journal of Information Systems and Management Research</journal-title>
            </journal-title-group>
                            <issn pub-type="ppub">2717-9931</issn>
                                                                                                        <publisher>
                    <publisher-name>M. Hanefi CALP</publisher-name>
                </publisher>
                    </journal-meta>
                <article-meta>
                                        <article-id/>
                                                                <article-categories>
                                            <subj-group  xml:lang="en">
                                                            <subject>Computer Software</subject>
                                                    </subj-group>
                                            <subj-group  xml:lang="tr">
                                                            <subject>Bilgisayar Yazılımı</subject>
                                                    </subj-group>
                                    </article-categories>
                                                                                                                                                        <title-group>
                                                                                                                        <article-title>Daire Paketleme Problemi: Bir Literatür Çalışması</article-title>
                                                                                                    </title-group>
            
                                                    <contrib-group content-type="authors">
                                                                        <contrib contrib-type="author">
                                                                    <contrib-id contrib-id-type="orcid">
                                        https://orcid.org/0000-0002-0981-0523</contrib-id>
                                                                <name>
                                    <surname>Hakyemez</surname>
                                    <given-names>Sedat</given-names>
                                </name>
                                                                    <aff>GAZİ ÜNİVERSİTESİ</aff>
                                                            </contrib>
                                                    <contrib contrib-type="author">
                                                                    <contrib-id contrib-id-type="orcid">
                                        https://orcid.org/0000-0001-8283-9579</contrib-id>
                                                                <name>
                                    <surname>Özcan</surname>
                                    <given-names>Uğur</given-names>
                                </name>
                                                                    <aff>GAZİ ÜNİVERSİTESİ</aff>
                                                            </contrib>
                                                                                </contrib-group>
                        
                                        <pub-date pub-type="pub" iso-8601-date="20200630">
                    <day>06</day>
                    <month>30</month>
                    <year>2020</year>
                </pub-date>
                                        <volume>2</volume>
                                        <issue>1</issue>
                                        <fpage>18</fpage>
                                        <lpage>31</lpage>
                        
                        <history>
                                    <date date-type="received" iso-8601-date="20200521">
                        <day>05</day>
                        <month>21</month>
                        <year>2020</year>
                    </date>
                                                    <date date-type="accepted" iso-8601-date="20200629">
                        <day>06</day>
                        <month>29</month>
                        <year>2020</year>
                    </date>
                            </history>
                                        <permissions>
                    <copyright-statement>Copyright © 2019, Journal of Information Systems and Management Research</copyright-statement>
                    <copyright-year>2019</copyright-year>
                    <copyright-holder>Journal of Information Systems and Management Research</copyright-holder>
                </permissions>
            
                                                                                                <abstract><p>Daire Paketleme Problemi (DPP), palet veya farklı bir alan içine daire şeklindeki nesnelerin birbirleriyle çakışmayacak ve yerleştirildiği alandan dışarı taşmayacak şekilde yerleştirilmesi problemini ifade etmektedir. Bu problemin amacı, dairelerin yerleştirilmesi sırasında kapladığı alanı (veya daire sayısını) maksimize etmek ve yerleşim sırasında oluşan atık alanları minimize etmektir. Yerleştirilen daireler, kendi aralarında özdeş veya özdeş olmayan türden olmakla birlikte, dairelerin yerleştirildiği alanlar daire, kare, dikdörtgen, üçgen gibi farklı geometrik şekillerde olabilmektedir. DPP’ye yönelik olarak, doğa bilimlerinden mühendislik tasarımına kadar birçok uygulama alanın olduğu söylenebilir. Çalışma kapsamında konuya ilişkin literatür incelendiğinde, tesis planlaması, otomotiv, elektronik, havacılık, savunma sanayi, gıda, inşaat, boya, cam, ahşap sanayi vb. gibi gerçek dünya alanlarında ihtiyaç duyulmaktadır. Bu sebeple son yıllarda DPP ile ilgili çalışmaların literatürde hızlı bir biçimde arttığı görülmektedir. Görülen bu artışla birlikte, çalışmaları bir araya getiren güncel bir literatür çalışmasına ihtiyacın olduğu anlaşılmaktadır. Bu çalışmada, DPP ve bu problemin çözümüyle ilgili kapsamlı bir literatür araştırması ve matematiksel modeller yer almaktadır. Ayrıca dairelerin, daire-kare-dikdörtgen alanlara yerleştirilmesi ile ilgili literatürdeki çalışmalar ayrı ayrı kategorize edilerek araştırmacılara sunulmuştur.</p></abstract>
                                                            
            
                                                            <kwd-group>
                                                    <kwd>Daire Paketleme Problemi</kwd>
                                                    <kwd>  Kutu Paketleme</kwd>
                                                    <kwd>  Literatür Araştırması</kwd>
                                            </kwd-group>
                            
                                                                                                                        </article-meta>
    </front>
    <back>
                            <ref-list>
                                    <ref id="ref1">
                        <label>1</label>
                        <mixed-citation publication-type="journal">[1] 	M. Chen, X. Tang, T. Song, Z. Zeng, X. Peng, S. Liu, “Greedy heuristic algorithm for packing equal circles into a circular container”, Computer &amp; Industrial Engineering, 119, 114–120, (2018).</mixed-citation>
                    </ref>
                                    <ref id="ref2">
                        <label>2</label>
                        <mixed-citation publication-type="journal">[2] 	C. O. Lopez, J. E. Beasley, “Packing unequal circles using formulation space search”, Computer &amp; Operations Research, 40, 1276–1288, (2013).</mixed-citation>
                    </ref>
                                    <ref id="ref3">
                        <label>3</label>
                        <mixed-citation publication-type="journal">[3] 	H. Dyckhoff, “A typology of cutting and packing problems”, European Journal of Operational Research, 44, 145–159, (1990).</mixed-citation>
                    </ref>
                                    <ref id="ref4">
                        <label>4</label>
                        <mixed-citation publication-type="journal">[4] 	G. Wascher, H. Haußner, H. Schumann, “An improved typology of cutting and packing problems”, European Journal of Operational Research, 183, 1109–1130, (2007).</mixed-citation>
                    </ref>
                                    <ref id="ref5">
                        <label>5</label>
                        <mixed-citation publication-type="journal">[5]	M. Hifi, R. M&#039;hallah, “A literature review on circle and sphere packing problems: models and methodologies”, Advances in Operations Research, 150624, 22, (2009).</mixed-citation>
                    </ref>
                                    <ref id="ref6">
                        <label>6</label>
                        <mixed-citation publication-type="journal">[6] 	G. Malfatti, “Memoria sopra un problema sterotomico”, Memorie di Matematica e di Fisica della Societa Italiana delle Scienze, 10, 235–244, (1803).</mixed-citation>
                    </ref>
                                    <ref id="ref7">
                        <label>7</label>
                        <mixed-citation publication-type="journal">[7] 	H. Lob, H. W. Richmond, “On the solutions of Malfatti’s problem for triangle” Proceedings of the London Mathematical Society, s2-30, 287-304, (1930).</mixed-citation>
                    </ref>
                                    <ref id="ref8">
                        <label>8</label>
                        <mixed-citation publication-type="journal">[8]	K. He, M. Huang, C. Yang, “An action-space-based global optimization algorithm for packing circles into a square container”, Computer &amp; Operations Research, 58, 67–74, (2015).</mixed-citation>
                    </ref>
                                    <ref id="ref9">
                        <label>9</label>
                        <mixed-citation publication-type="journal">[9] 	P.G. Szabo, M.Cs. Markot, T. Csendes, E. Specht, L.G. Casado, I. Garcia, “New Approaches to Circle Packing in a Square: With Program Codes”, Springer Optimization and Its Applications, Springer, New York, NY, USA, vol.6, (2007).</mixed-citation>
                    </ref>
                                    <ref id="ref10">
                        <label>10</label>
                        <mixed-citation publication-type="journal">[10] 	E. Specht, “High density packings of equal circles in rectangles with variable aspect ratio”, Computers &amp; Operations Research, 40, 58–69, (2013).</mixed-citation>
                    </ref>
                                    <ref id="ref11">
                        <label>11</label>
                        <mixed-citation publication-type="journal">[11]	M. Goldberg, “The packing of equal circles in a square”, Mathematics Magazine, 43, 24-30,  (1970).</mixed-citation>
                    </ref>
                                    <ref id="ref12">
                        <label>12</label>
                        <mixed-citation publication-type="journal">[12] 	J. Schaer, A. Meir, “On a geometric extremum problem”, Canadian Mathematical Bulletin, 8, 21-27, (1965).</mixed-citation>
                    </ref>
                                    <ref id="ref13">
                        <label>13</label>
                        <mixed-citation publication-type="journal">[13] 	J. Schaer, “The densest packing of nine circles in a square”, Canadian Mathematical Bulletin, 8, 273–277, (1965).</mixed-citation>
                    </ref>
                                    <ref id="ref14">
                        <label>14</label>
                        <mixed-citation publication-type="journal">[14] 	J. Schaer, “On the packing of ten equal circles in a square”, Mathematics Magazine, 44, 139–140, 1971.</mixed-citation>
                    </ref>
                                    <ref id="ref15">
                        <label>15</label>
                        <mixed-citation publication-type="journal">[15]	H. Melissen, “Densest packing of eleven congruent circles in a circle.”, Geometriae Dedicata, 50, 15–25, (1994).</mixed-citation>
                    </ref>
                                    <ref id="ref16">
                        <label>16</label>
                        <mixed-citation publication-type="journal">[16]	K. Schlüter, “Kreispackung in Quadraten. In German.”, Elemente der Mathematik, 34, 12-14, (1979).</mixed-citation>
                    </ref>
                                    <ref id="ref17">
                        <label>17</label>
                        <mixed-citation publication-type="journal">[17]	G. Valette,  “A better packing of ten circles in a square.”, Discrete Mathematics, 76, 57-59, (1989).</mixed-citation>
                    </ref>
                                    <ref id="ref18">
                        <label>18</label>
                        <mixed-citation publication-type="journal">[18]	B. Grünbaum, “An improved packing of ten circles in a square.” Manuscript, (1990).</mixed-citation>
                    </ref>
                                    <ref id="ref19">
                        <label>19</label>
                        <mixed-citation publication-type="journal">[19] 	M. Grannell, “An even better packing of ten equal circles in a square.”, Manuscript, (1990).</mixed-citation>
                    </ref>
                                    <ref id="ref20">
                        <label>20</label>
                        <mixed-citation publication-type="journal">[20]	M. Mollard, C. Payan, “Some progress in the packing of equal circles in a square.”, Discrete Mathematics, 84, 303-307, (1990).</mixed-citation>
                    </ref>
                                    <ref id="ref21">
                        <label>21</label>
                        <mixed-citation publication-type="journal">[21] 	C. de Groot, R. Peikert, D. Würtz, “The optimal packing of ten equal circles in a square.”, IPS Research Report, 90-12, (1990).</mixed-citation>
                    </ref>
                                    <ref id="ref22">
                        <label>22</label>
                        <mixed-citation publication-type="journal">[22]	F. Fodor, “The densest packing of 19 congruent circles in a circle.”, Geometriae Dedicata, 74, 139–145, (1999).</mixed-citation>
                    </ref>
                                    <ref id="ref23">
                        <label>23</label>
                        <mixed-citation publication-type="journal">[23]	F. Fodor, “The densest packing of 12 congruent circles in a circle.”, Contributions to Algebra and Geometry, 41(2), 401–409, (2000).</mixed-citation>
                    </ref>
                                    <ref id="ref24">
                        <label>24</label>
                        <mixed-citation publication-type="journal">[24]	B.D. Lubachevsky, R.L. Graham, “Curved hexagonal packings of equal disks in a circle”, Discrete &amp; Computational Geometry, 18, 179-194, (1997).</mixed-citation>
                    </ref>
                                    <ref id="ref25">
                        <label>25</label>
                        <mixed-citation publication-type="journal">[25] 	R.L. Graham, B.D. Lubachevsky, K.J. Nurmela, P.R.J. Östergard, “Dense packings of congruent circles in a circle”, Discrete Mathematics, 181, 139–154, (1998).</mixed-citation>
                    </ref>
                                    <ref id="ref26">
                        <label>26</label>
                        <mixed-citation publication-type="journal">[26]	M. Locatelli, U. Raber, “Packing equal circles in a square: a deterministic global optimization approach”, Discrete Applied Mathematics, 122, 139-166, (2002).</mixed-citation>
                    </ref>
                                    <ref id="ref27">
                        <label>27</label>
                        <mixed-citation publication-type="journal">[27]	N. Mladenovic, F. Plastria, D.Urosevic, ”Reformulation descent applied to circle packing problems”, Computers&amp;Operations Research, 32, 2419–2434, (2005).</mixed-citation>
                    </ref>
                                    <ref id="ref28">
                        <label>28</label>
                        <mixed-citation publication-type="journal">[28]	J. Liu, S. Xue, Z. Liu, D. Xu, “An improved energy landscape paving algorithm for the problem of packing circles into a larger containing circle”, Computers&amp;Industrial Engineering, 57(3), 1144–1149, (2009).</mixed-citation>
                    </ref>
                                    <ref id="ref29">
                        <label>29</label>
                        <mixed-citation publication-type="journal">[29]	E.G. Birgin, J.M. Gentil, “New and improved results for packing identical unitary radius circles within triangles, rectangles and strips”, Computers&amp;Operations Research, 37(7), 1318–1327, (2010).</mixed-citation>
                    </ref>
                                    <ref id="ref30">
                        <label>30</label>
                        <mixed-citation publication-type="journal">[30]	W. Huang, T. Ye, “Global optimization method for finding dense packings of equal circles in a circle”, European Journal of Operational Research, 210, 474–481, (2011).</mixed-citation>
                    </ref>
                                    <ref id="ref31">
                        <label>31</label>
                        <mixed-citation publication-type="journal">[31] 	S.I. Galiev, M.S. Lisafina, “Linear models for the approximate solution of the problem of packing equal circles into a given domain”, European Journal of Operational Research. 230, 505-514, (2013).</mixed-citation>
                    </ref>
                                    <ref id="ref32">
                        <label>32</label>
                        <mixed-citation publication-type="journal">[32]	K. He, H. Ye, Z. Wang, J. Liu, ”An efficient quasi-physical quasi-human algorithm for packing equal circles in a circular container”, Computers and Operations Research, 92, 26–36, (2018).</mixed-citation>
                    </ref>
                                    <ref id="ref33">
                        <label>33</label>
                        <mixed-citation publication-type="journal">[33]	H. Wang, W. Huang, Q. Zhang, D. Xu, “An improved algorithm for the packing of unequal circles within a larger containing circle”, European Journal of Operational Research, 141, 440–453, (2002).</mixed-citation>
                    </ref>
                                    <ref id="ref34">
                        <label>34</label>
                        <mixed-citation publication-type="journal">[34] 	H. Wenqi, K. Yan, “A short note on a simple search heuristic for the diskspacking problem”, Annals of Operations Research, 131, 101–108, (2004).</mixed-citation>
                    </ref>
                                    <ref id="ref35">
                        <label>35</label>
                        <mixed-citation publication-type="journal">[35]	D. Zhang, A. Deng, “An efective hybrid algorithm for the problem of packing circles into a larger containing circle”, Computers &amp; Operations Research, 32, 1941–1951, (2005).</mixed-citation>
                    </ref>
                                    <ref id="ref36">
                        <label>36</label>
                        <mixed-citation publication-type="journal">[36]	W. Huang, Y. Li, H. Akeb, C. Li, “36] algorithms for packing unequal circles into a rectangular container”, Journal of the Operational Research Society, 56(5), (2005).</mixed-citation>
                    </ref>
                                    <ref id="ref37">
                        <label>37</label>
                        <mixed-citation publication-type="journal">[37]	H. Akeb, M. Hifi, R. M’Hallah, “A beam search algorithm for circular packing problem”, Computers &amp; Operations Research, 36, 1513–1528, (2009).</mixed-citation>
                    </ref>
                                    <ref id="ref38">
                        <label>38</label>
                        <mixed-citation publication-type="journal">[38]	H. Akeb, M. Hifi, S. Negre, “An augmented beam search-based algorithm for the circular open dimension problem”, Computers &amp; Industrial Engineering, 61, 373–381, (2011).</mixed-citation>
                    </ref>
                                    <ref id="ref39">
                        <label>39</label>
                        <mixed-citation publication-type="journal">[39] 	Y.J. Ahm, C.M. Hoffmann, P. Rosen, “A note on circles packing”, Computers &amp; Electronics, 13(8), 559-564, (2012).</mixed-citation>
                    </ref>
                                    <ref id="ref40">
                        <label>40</label>
                        <mixed-citation publication-type="journal">[40]	C.O. Lopez, J.E. Beasley, “Packing unequal circles using formulation space search.”, Computers &amp; Operations Research, 40, 1276–1288, (2013).</mixed-citation>
                    </ref>
                                    <ref id="ref41">
                        <label>41</label>
                        <mixed-citation publication-type="journal">[41] 	C. Francesco, C. Cerrone, R. Cerulli, “A tabu search approach for the circle packing problem”, Network-Based Information Systems (NBiS) 17th International Conference, Salerno, Italy, 165-171, (2014).</mixed-citation>
                    </ref>
                                    <ref id="ref42">
                        <label>42</label>
                        <mixed-citation publication-type="journal">[42]	E.Specht, “A precise algorithm to detect voids in polydisperse circle packings”, Proc. R. Soc. A 471, (2015).</mixed-citation>
                    </ref>
                                    <ref id="ref43">
                        <label>43</label>
                        <mixed-citation publication-type="journal">[43]	C.O. Lopez, J.E. Beasley, “A formulation space search heuristic for packing unequal circles in a fixed size circular container”, European Journal of Operational Research, 251, 64-73, (2016).</mixed-citation>
                    </ref>
                                    <ref id="ref44">
                        <label>44</label>
                        <mixed-citation publication-type="journal">[44]	G. L. Orick, K, Stephenson, C. Collins, “A linearized circle packing algorithm”, Computational Geometry, 64, 13–29, (2017).</mixed-citation>
                    </ref>
                                    <ref id="ref45">
                        <label>45</label>
                        <mixed-citation publication-type="journal">[45] 	Y. Wang, Y. Wang, J. Sun, C. Huang, X. Zhang, “A stimulus – response - based allocation method for the circle packing problem with equilibrium constraints”, Physica A, 522, 232–247, (2019).</mixed-citation>
                    </ref>
                                    <ref id="ref46">
                        <label>46</label>
                        <mixed-citation publication-type="journal">[46]	R. L. Graham, B. D. Lubachevsky, “Dense packings of equal disks in an equilateral triangle: from 22 to 34 and beyond”, The Electronic J. of Combinatorics,2, (1995).</mixed-citation>
                    </ref>
                                    <ref id="ref47">
                        <label>47</label>
                        <mixed-citation publication-type="journal">[47]	E. G. Birgin, L. H. Bustamante, H. F. Callisaya, J. M. Martinez, “Packing circles within ellipses”, Internatıonal Transactions Inoperational Research, 20, 365–389, (2013).</mixed-citation>
                    </ref>
                                    <ref id="ref48">
                        <label>48</label>
                        <mixed-citation publication-type="journal">[48]	K. A. Dowsland “Optimising the palletisation of cylinders in cases”, OR Spektrum, 13, 204-212, (1991).</mixed-citation>
                    </ref>
                                    <ref id="ref49">
                        <label>49</label>
                        <mixed-citation publication-type="journal">[49]	J. A. George, J. M. George, B. W. Lamar, “Packing different-sized circles into a rectangular container”, European Journal of Operational Research, 84, 693-712, (1995).</mixed-citation>
                    </ref>
                                    <ref id="ref50">
                        <label>50</label>
                        <mixed-citation publication-type="journal">[50]	M. H. Correia, J. F. Oliveira, J. S. Ferreira, “Cylinder packing by simulated annealing”, Pesquisa Operacional, 20(2), 269-286, (2000).</mixed-citation>
                    </ref>
                                    <ref id="ref51">
                        <label>51</label>
                        <mixed-citation publication-type="journal">[51]	E. G. Birgin, J. M. Martinez, D. P. Ronconi, “Optimizing the packing of cylinders into a rectangular container: A nonlinear approach”, European Journal of Operational Research, 160(1), 19-33, (2005).</mixed-citation>
                    </ref>
                                    <ref id="ref52">
                        <label>52</label>
                        <mixed-citation publication-type="journal">[52]	K. A. Dowsland, M. Gilbert, G. Kendall, “A local search approach to a circle cutting problem arising in the motor cycle industry”, Journal of the Operational Research Society, 58(4), 429-438, (2007).</mixed-citation>
                    </ref>
                                    <ref id="ref53">
                        <label>53</label>
                        <mixed-citation publication-type="journal">[53]	Y. Stoyan, G. Yaskov, “Packing unequal circles into a strip of minimal length with a jump algorithm”, Optimization Letters, 8(3), 949–970, (2014).</mixed-citation>
                    </ref>
                                    <ref id="ref54">
                        <label>54</label>
                        <mixed-citation publication-type="journal">[54]	R. Peikert, D.Würtz, M. Monagan, C. de Groot“Packing circles in a square: A review and new results”, Lecture Notes in Control and Information Sciences, 180, 45-52, (1992).</mixed-citation>
                    </ref>
                                    <ref id="ref55">
                        <label>55</label>
                        <mixed-citation publication-type="journal">[55]	Z. Drezner,  E. Erkut, “Solving the continuous p-dispersion problem using non-linear programming”, The Journal of the Operational Research Society, 46(4), 516-520, (1995).</mixed-citation>
                    </ref>
                                    <ref id="ref56">
                        <label>56</label>
                        <mixed-citation publication-type="journal">[56]	V. E. Theodoracatos, J. L. Grimsley, “The optimal packing of arbitrarily-shaped polygons using simulated annealing and polynomial-time cooling schedules”, Computer Methods in Applied Mechanics Engineering, 125, 53-70, (1995).</mixed-citation>
                    </ref>
                                    <ref id="ref57">
                        <label>57</label>
                        <mixed-citation publication-type="journal">[57]	K. J. Nurmela, P. R. J. Östergard, “Packing up to 50 equal circles in a square”, Discrete&amp;Computational Geometry, 18, 111–120 (1997).</mixed-citation>
                    </ref>
                                    <ref id="ref58">
                        <label>58</label>
                        <mixed-citation publication-type="journal">[58]	D. W. Boll, J. Donovan, R. L. Graham, B. D. Lubachevsky, “Improving dense packing of equal disks in a square”, The electronic journal of combinatorics, 7, (2000).</mixed-citation>
                    </ref>
                                    <ref id="ref59">
                        <label>59</label>
                        <mixed-citation publication-type="journal">[59]	M. C. Markot, T. Csendes, “A new verified optimization technique for the packing circles in a unit square problems”, SIAM Journal on Optimization, 16(1), 193-219, (2005).</mixed-citation>
                    </ref>
                                    <ref id="ref60">
                        <label>60</label>
                        <mixed-citation publication-type="journal">[60]	A. Costa, P. Hansen, L. Liberti, “On the impact of symmetry-breaking constraints on spatial Branch-and-Bound for circle packing in a square”, Discrete Applied Mathematics,  161, 96–106, (2013).</mixed-citation>
                    </ref>
                                    <ref id="ref61">
                        <label>61</label>
                        <mixed-citation publication-type="journal">[61] 	Z. Zeng, X. Yu, M. Chen, Y. Liu, “A memetic algorithm to pack unequal circles into a square”, Computers and Operations Research, 92, 47–55, (2018).</mixed-citation>
                    </ref>
                                    <ref id="ref62">
                        <label>62</label>
                        <mixed-citation publication-type="journal">[62] 	J. J. Flores, J. Martínez, F. Calderon, “Evolutionary computation solutions to the circle packing problem”, Soft. Comput, 20, 1521–1535, (2016).</mixed-citation>
                    </ref>
                                    <ref id="ref63">
                        <label>63</label>
                        <mixed-citation publication-type="journal">[63]	W. Q. Huang, Y. Li, B. Jurkowiak, C. M. Li, R. C. Xu, “A two-level search strategy for packing unequal circles into a circle container.” Conference: Principles and Practice of Constraint Programming - CP 2003, 9th International, Kinsale, Ireland, 
2833, 868–872, (2003).</mixed-citation>
                    </ref>
                                    <ref id="ref64">
                        <label>64</label>
                        <mixed-citation publication-type="journal">[64]	M. Hifi, R. M’Hallah, “Approximate algorithms for constrained circular cutting problems” Computers&amp;Operations Research, 31(5), 675–694, (2004).</mixed-citation>
                    </ref>
                                    <ref id="ref65">
                        <label>65</label>
                        <mixed-citation publication-type="journal">[65] 	Z. Lü, W. Huang, “Perm for solving circle packing problem”, Computers&amp;Operataions Research, 35(5), 1742–1755, (2008).</mixed-citation>
                    </ref>
                                    <ref id="ref66">
                        <label>66</label>
                        <mixed-citation publication-type="journal">[66]	H. Akeb, M. Hifi, “A hybrid beam search looking-ahead algorithm for the circular packing problem”, Journal of Combinatorial Optimization, 20(2), 101-130, (2010).</mixed-citation>
                    </ref>
                                    <ref id="ref67">
                        <label>67</label>
                        <mixed-citation publication-type="journal">[67]	D. Zhang, A. Deng, “An effective hybrid algorithm for the problem of packing circles into a larger containing circle”, Computers&amp; Operations Research, 32, 1941–1951, (2005).</mixed-citation>
                    </ref>
                                    <ref id="ref68">
                        <label>68</label>
                        <mixed-citation publication-type="journal">[68]	M. H. Correia, J. F. Oliveira, J. S. Ferreira, “A new upper bound fort he cylinder packing problem”, Intl. Trans. İn Op. Res, 8, 571-583, (2001).</mixed-citation>
                    </ref>
                                    <ref id="ref69">
                        <label>69</label>
                        <mixed-citation publication-type="journal">[69]	M. Hifi, V. T. Paschos, V. Zissimopoulos, “A simulated annealing approach for the circular cutting problem”, European Journal of Operational Research, 159, 430-448, (2004).</mixed-citation>
                    </ref>
                                    <ref id="ref70">
                        <label>70</label>
                        <mixed-citation publication-type="journal">[70]	Y. G. Stoyan, G. Yaskov, “A matematical model and a solution method for the problem of placing various-sized circles into a strip”, European Journal of Operational Research, 156, 590–600, (2004).</mixed-citation>
                    </ref>
                                    <ref id="ref71">
                        <label>71</label>
                        <mixed-citation publication-type="journal">[71]	D. Zhang, Y. Liu, S. Chen, “Packing Different-sized Circles into a Rectangular Container Using Simulated Annealing Algorithm”, International Conference on Computational Intelligence, Istanbul, Turkey, 388-391, (2004).</mixed-citation>
                    </ref>
                                    <ref id="ref72">
                        <label>72</label>
                        <mixed-citation publication-type="journal">[72]	Y. He, Y. Wu, “Packing non-identical circles within a rectangle with open length”, Journal of Global Optimization, 56, 1187-1215, (2013).</mixed-citation>
                    </ref>
                                    <ref id="ref73">
                        <label>73</label>
                        <mixed-citation publication-type="journal">[73]	D. Zhang, W. Huang, “A Simulated Annealing Algorithm for the Circles Packing Problem”, Conference: Computational Science - ICCS 2004, 4th International Conference, Kraków, Poland, 3036, 206-214, (2004).</mixed-citation>
                    </ref>
                                    <ref id="ref74">
                        <label>74</label>
                        <mixed-citation publication-type="journal">[74]	R. Torres-Escobar, J. A. Marmolejo-Saucedo, I. Litvinchev, P. Vasant, “Monkey Algorithm for Packing Circles with Binary Variables”, Intelligent Computing &amp; Optimization, 547-559, (2019).</mixed-citation>
                    </ref>
                                    <ref id="ref75">
                        <label>75</label>
                        <mixed-citation publication-type="journal">[75]	K. He, M. Zhang,  J. Zhou, Y. Jin, C. Li, “Stochastic Item Descent Method for Large Scale Equal Circle Packing Problem”, arXiv preprint arXiv:2001.08540, (2020).</mixed-citation>
                    </ref>
                                    <ref id="ref76">
                        <label>76</label>
                        <mixed-citation publication-type="journal">[76]	Y. Wang, L. Zhang, “Swarm intelligence labor division algorithm for solving unequal circle packing problem”, Journal of ZheJiang University (Engineering Science) , 53, 2129-2138, (2020).</mixed-citation>
                    </ref>
                            </ref-list>
                    </back>
    </article>
