<?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></journal-id>
            <journal-title-group>
                                                                                    <journal-title>Politeknik Dergisi</journal-title>
            </journal-title-group>
                                        <issn pub-type="epub">2147-9429</issn>
                                                                                            <publisher>
                    <publisher-name>Gazi Üniversitesi</publisher-name>
                </publisher>
                    </journal-meta>
                <article-meta>
                                        <article-id pub-id-type="doi">10.2339/politeknik.1200084</article-id>
                                                                <article-categories>
                                            <subj-group  xml:lang="en">
                                                            <subject>Engineering</subject>
                                                    </subj-group>
                                            <subj-group  xml:lang="tr">
                                                            <subject>Mühendislik</subject>
                                                    </subj-group>
                                    </article-categories>
                                                                                                                                                        <title-group>
                                                                                                                        <trans-title-group xml:lang="en">
                                    <trans-title>A Mathematical Model and An Industrial Application for Green Vehicle Routing Problem with the Heterogeneous Fleet and Capacity Constraints</trans-title>
                                </trans-title-group>
                                                                                                                                                                                                <article-title>Heterojen Filolu ve Kapasite Kısıtlı Yeşil Araç Rotalama Problemi için Bir Matematiksel Model ve Endüstriyel Bir Uygulama</article-title>
                                                                                                    </title-group>
            
                                                    <contrib-group content-type="authors">
                                                                        <contrib contrib-type="author">
                                                                    <contrib-id contrib-id-type="orcid">
                                        https://orcid.org/0000-0002-8192-4787</contrib-id>
                                                                <name>
                                    <surname>Akcakoca</surname>
                                    <given-names>Ali Emre</given-names>
                                </name>
                                                                    <aff>ERCİYES ÜNİVERSİTESİ, MÜHENDİSLİK FAKÜLTESİ</aff>
                                                            </contrib>
                                                    <contrib contrib-type="author">
                                                                    <contrib-id contrib-id-type="orcid">
                                        https://orcid.org/0000-0003-0927-6698</contrib-id>
                                                                <name>
                                    <surname>Kızılkaya Aydogan</surname>
                                    <given-names>Emel</given-names>
                                </name>
                                                                    <aff>ERCIYES UNIVERSITY</aff>
                                                            </contrib>
                                                    <contrib contrib-type="author">
                                                                    <contrib-id contrib-id-type="orcid">
                                        https://orcid.org/0000-0002-4654-0526</contrib-id>
                                                                <name>
                                    <surname>Delice</surname>
                                    <given-names>Yılmaz</given-names>
                                </name>
                                                                    <aff>KAYSERI UNIVERSITY</aff>
                                                            </contrib>
                                                    <contrib contrib-type="author">
                                                                    <contrib-id contrib-id-type="orcid">
                                        https://orcid.org/0000-0001-6081-3650</contrib-id>
                                                                <name>
                                    <surname>Himmetoğlu</surname>
                                    <given-names>Salih</given-names>
                                </name>
                                                                    <aff>Kayseri University</aff>
                                                            </contrib>
                                                                                </contrib-group>
                        
                                        <pub-date pub-type="pub" iso-8601-date="20240925">
                    <day>09</day>
                    <month>25</month>
                    <year>2024</year>
                </pub-date>
                                        <volume>27</volume>
                                        <issue>4</issue>
                                        <fpage>1345</fpage>
                                        <lpage>1352</lpage>
                        
                        <history>
                                    <date date-type="received" iso-8601-date="20221106">
                        <day>11</day>
                        <month>06</month>
                        <year>2022</year>
                    </date>
                                                    <date date-type="accepted" iso-8601-date="20230604">
                        <day>06</day>
                        <month>04</month>
                        <year>2023</year>
                    </date>
                            </history>
                                        <permissions>
                    <copyright-statement>Copyright © 1998, Politeknik Dergisi</copyright-statement>
                    <copyright-year>1998</copyright-year>
                    <copyright-holder>Politeknik Dergisi</copyright-holder>
                </permissions>
            
                                                                                                <trans-abstract xml:lang="en">
                            <p>Today, environmental factors and sustainability concepts are taken into account along with operational criteria in Vehicle Routing Problems (VRP). The VRP that addresses environmental factors is called Green VRP (GVRP). One of the most critical factors causing global warming is carbon emissions. In GVRP, carbon emissions should be taken into account with operational costs. This study proposes a mathematical model for Green Capacity VRP (GCVRP). It is aimed to solve GCVRP by considering vehicles with different characteristics. The proposed model has been applied to determine the routes of personnel service vehicles in a furniture company. The obtained results show that the proposed mathematical model can give successful results for GCVRPs.</p></trans-abstract>
                                                                                                                                    <abstract><p>Günümüzde Araç Rotalama Problemlerinde (ARP) operasyonel kriterlerle birlikte çevresel faktörler ve sürdürülebilirlik kavramları da dikkate alınmaktadır. Çevresel faktörleri ele alarak oluşturulan ARP, Yeşil ARP (YARP) olarak adlandırılmaktadır. Küresel ısınmayı sebep olan en önemli faktörlerden biri karbon salınımıdır. YARP’de karbon salınımı operasyonel maliyetler içerisinde dikkate alınmalıdır. Bu çalışmada Yeşil Kapasiteli ARP (YKARP) için bir matematiksel model önerilmektedir. Farklı özelliklere sahip araçlar ele alınarak YKARP’nin çözülmesi amaçlanmaktadır. Önerilen model bir mobilya firmasındaki personel servis araçlarının rotalarını belirlemede uygulanmıştır. Elde edilen sonuçlar önerilen matematiksel modelin YKARP’ler için başarılı sonuçlar verebileceğini göstermektedir.</p></abstract>
                                                            
            
                                                                                        <kwd-group>
                                                    <kwd>YKARP</kwd>
                                                    <kwd>  mtematiksel modelleme</kwd>
                                                    <kwd>  sürdürülebilirlik</kwd>
                                                    <kwd>  yeşilr araç rotalama</kwd>
                                            </kwd-group>
                            
                                                <kwd-group xml:lang="en">
                                                    <kwd>GCVRP</kwd>
                                                    <kwd>  mathematical modeling</kwd>
                                                    <kwd>  sustainability</kwd>
                                                    <kwd>  green vehicle routing</kwd>
                                            </kwd-group>
                                                                                                                                        </article-meta>
    </front>
    <back>
                            <ref-list>
                                    <ref id="ref1">
                        <label>1</label>
                        <mixed-citation publication-type="journal">[1] 	Dantzig G. B. and Ramser J. H., “The truck dispatching problem”, Management Science, 6(1), 80-91, (1959).</mixed-citation>
                    </ref>
                                    <ref id="ref2">
                        <label>2</label>
                        <mixed-citation publication-type="journal">[2]	Clarke G. and Wright, J. W. “Scheduling of vehicles from a central depot to a number of delivery points”, Operations Research, 12(4), 568-581, 
(1964).</mixed-citation>
                    </ref>
                                    <ref id="ref3">
                        <label>3</label>
                        <mixed-citation publication-type="journal">[3] 	Bruglieri M., Ferone D., Festa P. and Pisacane O., “A grasp with penalty objective function for the green vehicle routing problem with private 
capacitated stations”, Computers and Operations Research, 143, 105770, (2022).</mixed-citation>
                    </ref>
                                    <ref id="ref4">
                        <label>4</label>
                        <mixed-citation publication-type="journal">[4] 	Bozyer Z., Alkan A. ve Fığlalı A., “Kapasite kısıtlı araç rotalama probleminin çözümü için önce grupla sonra rotala merkezli sezgisel algoritma 
önerisi”, Bilişim Teknolojileri Dergisi, 7(2), 29-37, (2014).</mixed-citation>
                    </ref>
                                    <ref id="ref5">
                        <label>5</label>
                        <mixed-citation publication-type="journal">[5] 	Kara I. and Derya T., “Polynomial size formulations for the distance and capacity constrained vehicle routing problem”, In AIP Conference 
Proceedings, September, American Institute of Physics, 1389(1), 1713-1718, (2011).</mixed-citation>
                    </ref>
                                    <ref id="ref6">
                        <label>6</label>
                        <mixed-citation publication-type="journal">[6] 	Göçken T., Yaktubay M. and Kilic F., “Zaman pencereli araç rotalama problemi çözümü için çok amaçlı genetik algoritma yaklaşımı”, Gazi 
University Journal of Science Part C: Design and Technology, 6(4), 774-786, (2018).</mixed-citation>
                    </ref>
                                    <ref id="ref7">
                        <label>7</label>
                        <mixed-citation publication-type="journal">[7] 	Koç Ç. and Karaoğlan İ., “Zaman bağımlı araç rotalama problemi için bir matematiksel model”, Journal of The Faculty of Engineering and 
Architecture of Gazi University, 29(3), (2014).</mixed-citation>
                    </ref>
                                    <ref id="ref8">
                        <label>8</label>
                        <mixed-citation publication-type="journal">[8] 	Keskintürk T., Topuk N. ve Özyeşil O., “Araç rotalama problemleri ve çözüm yöntemleri”, İşletme Bilimi Dergisi, 3(2), 77-107, (2015).</mixed-citation>
                    </ref>
                                    <ref id="ref9">
                        <label>9</label>
                        <mixed-citation publication-type="journal">[9] 	RamachandranPillai R. and Arock M., “Spiking neural firefly optimization scheme for the capacitated dynamic vehicle routing problem with 
time windows”, Neural Computing and Applications, 33(1), 409-432, (2021).</mixed-citation>
                    </ref>
                                    <ref id="ref10">
                        <label>10</label>
                        <mixed-citation publication-type="journal">[10] Daneshzand F., “The vehicle-routing problem”, Logistics Operations and Management, 8, 127-153, (2011).</mixed-citation>
                    </ref>
                                    <ref id="ref11">
                        <label>11</label>
                        <mixed-citation publication-type="journal">[11] 	Agency E. E., “Greenhouse gas emission intensity of fuels and biofuels for road transport in Europe”, European Environment Agency, 2020.</mixed-citation>
                    </ref>
                                    <ref id="ref12">
                        <label>12</label>
                        <mixed-citation publication-type="journal">[12] 	Erdoğan S. and Miller-Hooks E., “A green vehicle routing problem”, Transportation Research Part E: Logistics and Transportation Review, 
48(1), 100-114, (2012).</mixed-citation>
                    </ref>
                                    <ref id="ref13">
                        <label>13</label>
                        <mixed-citation publication-type="journal">[13] 	Poonthalir G. and Nadarajan R., “A fuel-efficient green vehicle routing problem with varying speed constraint (F-GVRP)”, Expert Systems 
with Applications, 100, 131-144, (2018).</mixed-citation>
                    </ref>
                                    <ref id="ref14">
                        <label>14</label>
                        <mixed-citation publication-type="journal">[14] 	Sawik B., Faulin J. and Pérez-Bernabeu E., “A multicriteria analysis for the green VRP: A case discussion for the distribution problem of a 
Spanish retailer”, Transportation Research Procedia, 22, 305-313, (2017).</mixed-citation>
                    </ref>
                                    <ref id="ref15">
                        <label>15</label>
                        <mixed-citation publication-type="journal">[15] 	Wang L. and Lu J., “A memetic algorithm with competition for the capacitated green vehicle routing problem”, IEEE/CAA Journal of 
Automatica Sinica, 6(2), 516-526, (2019).</mixed-citation>
                    </ref>
                                    <ref id="ref16">
                        <label>16</label>
                        <mixed-citation publication-type="journal">[16] 	Mehlawat M. K., Gupta P., Khaitan A. and Pedrycz W., “A hybrid intelligent approach to integrated fuzzy multiple depots capacitated green 
vehicle routing problem with split delivery and vehicle selection”, IEEE Transactions on Fuzzy Systems, 28(6), 1155-1166, (2019).</mixed-citation>
                    </ref>
                                    <ref id="ref17">
                        <label>17</label>
                        <mixed-citation publication-type="journal">[17] 	Yu Y., Wang S., Wang J. and Huang, M., “A branch-and-price algorithm for the heterogeneous fleet green vehicle routing problem with time 
windows”, Transportation Research Part B: Methodological, 122, 511-527, (2019).</mixed-citation>
                    </ref>
                                    <ref id="ref18">
                        <label>18</label>
                        <mixed-citation publication-type="journal">[18] 	Ren X., Huang H., Feng S. and Liang, G. “An improved variable neighborhood search for bi-objective mixed-energy fleet vehicle routing 
problem”, Journal of Cleaner Production, 275, 124155, (2020).</mixed-citation>
                    </ref>
                                    <ref id="ref19">
                        <label>19</label>
                        <mixed-citation publication-type="journal">[19] 	Li Y., Soleimani H. and Zohal, M., “An improved ant colony optimization algorithm for the multi-depot green vehicle routing problem with 
multiple objectives”, Journal of Cleaner Production, 227, 1161-1172, (2019).</mixed-citation>
                    </ref>
                                    <ref id="ref20">
                        <label>20</label>
                        <mixed-citation publication-type="journal">[20] Afshar-Bakeshloo M., Mehrabi A., Safari H., Maleki M. ve Jolai F., “A green vehicle routing problem with customer satisfaction criteria”, Journal of 
Industrial Engineering International, 12(4), 529-544, (2016).</mixed-citation>
                    </ref>
                                    <ref id="ref21">
                        <label>21</label>
                        <mixed-citation publication-type="journal">[21] Abdullahi H., Reyes-Rubiano L., Ouelhadj D., Faulin J. and Juan A. A., “Modelling and multi-criteria analysis of the sustainability dimensions for 
the green vehicle routing problem”, European Journal of Operational Research, 292(1), 143-154, (2021).</mixed-citation>
                    </ref>
                                    <ref id="ref22">
                        <label>22</label>
                        <mixed-citation publication-type="journal">[22] Nyako S. I., Tayachi D. and Tagina M., “Minimizing fuel consumption in the time-dependent VRP”, In 2022 8th IEEE International Conference on 
Control, Decision and Information Technologies, May, 647-652, (2022).</mixed-citation>
                    </ref>
                                    <ref id="ref23">
                        <label>23</label>
                        <mixed-citation publication-type="journal">[23] Sun X., Dai X., Pan S., Bao N., Liu N. and Shi X., “A discrete teaching-learning-based optimization algorithm for the green vehicle routing 
problem”, 23rd IEEE Int Conf on High Performance Computing &amp; Communications; 7th Int Conf on Data Science and Systems; 19th Int Conf on 
Smart City; 7th Int Conf on Dependability in Sensor, Cloud and Big Data Systems and Application, 1552-1557, (2021).</mixed-citation>
                    </ref>
                                    <ref id="ref24">
                        <label>24</label>
                        <mixed-citation publication-type="journal">[24] Bruglieri M., Mancini S., Pezzella F. and Pisacane O., “A path-based solution approach for the green vehicle routing problem”, Computers and 
Operations Research, 103, 109-122, (2019).</mixed-citation>
                    </ref>
                                    <ref id="ref25">
                        <label>25</label>
                        <mixed-citation publication-type="journal">[25] Matos M. R. S., Frota Y. and Ochi L. S. “Green vehicle routing and scheduling problem with split delivery”, Electronic Notes in Discrete 
Mathematics, 69, 13-20, (2018).</mixed-citation>
                    </ref>
                                    <ref id="ref26">
                        <label>26</label>
                        <mixed-citation publication-type="journal">[26] da Costa P. R. D. O., Mauceri S., Carroll P. and Pallonetto F., “A genetic algorithm for a green vehicle routing problem”, Electronic Notes in 
Discrete Mathematics, 64, 65-74, (2018).</mixed-citation>
                    </ref>
                                    <ref id="ref27">
                        <label>27</label>
                        <mixed-citation publication-type="journal">[27] Jabir E., Panicker V. V. and Sridharan R., “Design and development of a hybrid ant colony-variable neighborhood search algorithm for a multi-
depot green vehicle routing problem”, Transportation Research Part D: Transport and Environment, 57, 422-457, (2017).</mixed-citation>
                    </ref>
                                    <ref id="ref28">
                        <label>28</label>
                        <mixed-citation publication-type="journal">[28] Ferreira K. M., de Queiroz T. A. and Toledo F. M. B., “An exact approach for the green vehicle routing problem with two-dimensional loading 
constraints and split delivery”, Computers and Operations Research, 136, 105452, (2021).</mixed-citation>
                    </ref>
                                    <ref id="ref29">
                        <label>29</label>
                        <mixed-citation publication-type="journal">[29] Asghari M. and Al-e S. M. J. M., “Green vehicle routing problem: a state-of-the-art review”, International Journal of Production Economics, 231, 
107899, (2021).</mixed-citation>
                    </ref>
                                    <ref id="ref30">
                        <label>30</label>
                        <mixed-citation publication-type="journal">[30] Moghdani R., Salimifard K., Demir E. and Benyettou A., “The green vehicle routing problem: a systematic literature review”, Journal of Cleaner 
Production, 279, 123691, (2021).</mixed-citation>
                    </ref>
                                    <ref id="ref31">
                        <label>31</label>
                        <mixed-citation publication-type="journal">[31] Qi R., Li J. Q., Wang J., Jin H. and Han Y. Y., “QMOEA: A q-learning-based multi-objective evolutionary algorithm for solving time-dependent 
green vehicle routing problems with time windows”, Information Sciences, 608, 178-201, (2022).</mixed-citation>
                    </ref>
                                    <ref id="ref32">
                        <label>32</label>
                        <mixed-citation publication-type="journal">[32] Barth M., Younglove T. and Scora, G., “Development of a heavy-duty diesel modal emissions and fuel consumption model”, US Berkley, 124, 
(2005).</mixed-citation>
                    </ref>
                                    <ref id="ref33">
                        <label>33</label>
                        <mixed-citation publication-type="journal">[33] Bektaş T. and Laporte G., “The pollution-routing problem”, Transportation Research Part B: Methodological, 45(8), 1232-1250, (2011).</mixed-citation>
                    </ref>
                                    <ref id="ref34">
                        <label>34</label>
                        <mixed-citation publication-type="journal">[34] Demir E., Bektaş T. and Laporte G., “An adaptive large neighborhood search heuristic for the pollution-routing problem”, European Journal of 
Operational Research, 223(2), 346-359, (2012).</mixed-citation>
                    </ref>
                                    <ref id="ref35">
                        <label>35</label>
                        <mixed-citation publication-type="journal">[35] Franceschetti A., Honhon D., Van Woensel, T., Bektaş T. and Laporte G., “The time-dependent pollution-routing problem”, Transportation 
Research Part B: Methodological, 56, 265-293, (2013).</mixed-citation>
                    </ref>
                                    <ref id="ref36">
                        <label>36</label>
                        <mixed-citation publication-type="journal">[36] Soysal M., Bloemhof-Ruwaard J. M. and Bektaş T., “The time-dependent two-echelon capacitated vehicle routing problem with environmental 
considerations”, International Journal of Production Economics, 164, 366-378, (2015).</mixed-citation>
                    </ref>
                                    <ref id="ref37">
                        <label>37</label>
                        <mixed-citation publication-type="journal">[37] Kısa T., Atıcı E. K. ve Ulucan A., “İki-aşamalı araç rotalama problemi: temel yaklaşımlar ve konvansiyonel araç rotalama problemi ile 
karşılaştırmalar”, Hacettepe Üniversitesi İktisadi ve İdari Bilimler Fakültesi Dergisi, 40(2), 368-403, (2021).</mixed-citation>
                    </ref>
                                    <ref id="ref38">
                        <label>38</label>
                        <mixed-citation publication-type="journal">[38] Kılıç M. Y., Dönmez T. ve Adalı S., “Karayolu ulaşımında yakıt tüketimine bağlı karbon ayak izi değişimi: Çanakkale örneği”, Gümüşhane 
Üniversitesi Fen Bilimleri Dergisi, 11(3), 943-955, (2021).</mixed-citation>
                    </ref>
                                    <ref id="ref39">
                        <label>39</label>
                        <mixed-citation publication-type="journal">[39] Kaplanseren B., Mercan B., Özdemir B., Kadıoğlu H. H. and Çağrı S. E. L., “Araç rotalamada karbon ayak izi ve endüstriyel bir uygulama”, 
International Journal of Engineering Research and Development, 11(1), 239-252, (2019).</mixed-citation>
                    </ref>
                                    <ref id="ref40">
                        <label>40</label>
                        <mixed-citation publication-type="journal">[40] Düzakın E. ve Demircioğlu M., “Araç rotalama problemleri ve çözüm yöntemleri”, Çukurova Üniversitesi İktisadi ve İdari Bilimler Fakültesi Dergisi, 
13(1), (2009).</mixed-citation>
                    </ref>
                            </ref-list>
                    </back>
    </article>
