{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,7]],"date-time":"2026-03-07T10:24:28Z","timestamp":1772879068364,"version":"3.50.1"},"reference-count":71,"publisher":"Springer Science and Business Media LLC","issue":"2","license":[{"start":{"date-parts":[[2024,10,4]],"date-time":"2024-10-04T00:00:00Z","timestamp":1728000000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2024,10,4]],"date-time":"2024-10-04T00:00:00Z","timestamp":1728000000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Soft Comput"],"published-print":{"date-parts":[[2026,2]]},"DOI":"10.1007\/s00500-024-09798-6","type":"journal-article","created":{"date-parts":[[2024,10,4]],"date-time":"2024-10-04T05:02:29Z","timestamp":1728018149000},"page":"1263-1278","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["Development of a multi-stage, multi-product solid supply chain network design and solution with meta-heuristic algorithms"],"prefix":"10.1007","volume":"30","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-0139-7196","authenticated-orcid":false,"given":"Amir","family":"Rezaei","sequence":"first","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0003-1368-9938","authenticated-orcid":false,"given":"Golara","family":"Chaharmahali","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0002-6107-7306","authenticated-orcid":false,"given":"Davoud","family":"Ghandalipour","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0001-7547-935X","authenticated-orcid":false,"given":"Saber","family":"Molla-Alizadeh-Zavardehi","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0002-5164-0644","authenticated-orcid":false,"given":"Fatemeh","family":"Gholian-Jouybari","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0002-9988-2626","authenticated-orcid":false,"given":"Mostafa","family":"Hajiaghaei-Keshteli","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2024,10,4]]},"reference":[{"key":"9798_CR1","doi-asserted-by":"publisher","DOI":"10.1016\/j.jclepro.2019.119437","volume":"250","author":"A Abdi","year":"2020","unstructured":"Abdi A, Abdi A, Akbarpour N, Amiri AS, Hajiaghaei-Keshteli M (2020) Innovative approaches to design and address green supply chain network with simultaneous pick-up and split delivery. J Clean Prod 250:119437","journal-title":"J Clean Prod"},{"issue":"2","key":"9798_CR2","doi-asserted-by":"publisher","first-page":"447","DOI":"10.1007\/s12351-017-0332-7","volume":"20","author":"M Akbari","year":"2020","unstructured":"Akbari M, Molla-Alizadeh-Zavardehi S, Niroomand S (2020) Meta-heuristic approaches for fixed-charge solid transportation problem in two-stage supply chain network. Oper Res Int Journal 20(2):447\u2013471","journal-title":"Oper Res Int Journal"},{"issue":"12","key":"9798_CR3","doi-asserted-by":"publisher","first-page":"13614","DOI":"10.1007\/s10489-022-03335-4","volume":"52","author":"E Babaee Tirkolaee","year":"2022","unstructured":"Babaee Tirkolaee E, Torkayesh AE (2022) A cluster-based stratified hybrid decision support model under uncertainty: sustainable healthcare landfill location selection. Appl Intell 52(12):13614\u201313633","journal-title":"Appl Intell"},{"key":"9798_CR4","doi-asserted-by":"publisher","first-page":"795","DOI":"10.1007\/s10479-021-04363-y","volume":"324","author":"E Babaee Tirkolaee","year":"2021","unstructured":"Babaee Tirkolaee E, Goli A, Mardani A (2021) A novel two-echelon hierarchical location-allocation-routing optimization for green energy-efficient logistics systems. Ann Oper Res 324:795\u2013823","journal-title":"Ann Oper Res"},{"key":"9798_CR5","doi-asserted-by":"publisher","first-page":"1108","DOI":"10.1080\/03772063.2019.1642802","volume":"68","author":"S Bahadori-Chinibelagh","year":"2019","unstructured":"Bahadori-Chinibelagh S, Fathollahi-Fard AM, Hajiaghaei-Keshteli M (2019) Two constructive algorithms to address a multi-depot home healthcare routing problem. IETE J Res 68:1108\u20131114","journal-title":"IETE J Res"},{"key":"9798_CR6","doi-asserted-by":"publisher","DOI":"10.1007\/s10100-023-00862-4","author":"A Bavar","year":"2023","unstructured":"Bavar A, Bavar A, Gholian-Jouybari F, Hajiaghaei-Keshteli M, Mej\u00eda-Argueta C (2023) Developing new heuristics and hybrid meta-heuristics to address the bi-objective home health care problem. Cent Eur J Oper Res. https:\/\/doi.org\/10.1007\/s10100-023-00862-4","journal-title":"Cent Eur J Oper Res"},{"key":"9798_CR7","doi-asserted-by":"publisher","DOI":"10.1016\/j.eswa.2020.114491","volume":"170","author":"A Biswas","year":"2021","unstructured":"Biswas A, Pal T (2021) A comparison between metaheuristics for solving a capacitated fixed charge transportation problem with multiple objectives. Expert Syst Appl 170:114491","journal-title":"Expert Syst Appl"},{"key":"9798_CR8","doi-asserted-by":"publisher","DOI":"10.1016\/j.asoc.2022.108501","volume":"118","author":"A Biswas","year":"2022","unstructured":"Biswas A, C\u00e1rdenas-Barr\u00f3n LE, Shaikh AA, Duary A, C\u00e9spedes-Mota A (2022) A study of multi-objective restricted multi-item fixed charge transportation problem considering different types of demands. Appl Soft Comput 118:108501","journal-title":"Appl Soft Comput"},{"key":"9798_CR9","first-page":"226","volume":"3","author":"A Boskabadi","year":"2022","unstructured":"Boskabadi A, Mirmozaffari M, Yazdani R, Farahani A (2022) Design of a distribution network in a multi-product, multi-period green supply chain system under demand uncertainty. Sustain Oper Comput 3:226\u2013237","journal-title":"Sustain Oper Comput"},{"issue":"3","key":"9798_CR10","doi-asserted-by":"publisher","first-page":"912","DOI":"10.1016\/j.ejor.2021.11.037","volume":"301","author":"R Cavagnini","year":"2022","unstructured":"Cavagnini R, Bertazzi L, Maggioni F (2022) A rolling horizon approach for a multi-stage stochastic fixed-charge transportation problem with transshipment. Eur J Oper Res 301(3):912\u2013922","journal-title":"Eur J Oper Res"},{"key":"9798_CR11","doi-asserted-by":"publisher","DOI":"10.1016\/j.eswa.2022.117364","volume":"202","author":"G Chaharmahali","year":"2022","unstructured":"Chaharmahali G, Ghandalipour D, Jasemi M, Molla-Alizadeh-Zavardehi S (2022) Modified metaheuristic algorithms to design a closed-loop supply chain network considering quantity discount and fixed-charge transportation. Expert Syst Appl 202:117364","journal-title":"Expert Syst Appl"},{"key":"9798_CR12","doi-asserted-by":"publisher","DOI":"10.1007\/s10479-023-05779-4","author":"MK Charati","year":"2024","unstructured":"Charati MK, Gholian-Jouybari F, Hajiaghaei-Keshteli M, Paydar MM, Sadeghi F (2024) Designing a sustainable dental tourism supply chain considering waste treatment. Ann Oper Res. https:\/\/doi.org\/10.1007\/s10479-023-05779-4","journal-title":"Ann Oper Res"},{"key":"9798_CR13","doi-asserted-by":"publisher","first-page":"651","DOI":"10.1016\/j.compag.2019.04.041","volume":"162","author":"A Cheraghalipour","year":"2019","unstructured":"Cheraghalipour A, Paydar MM, Hajiaghaei-Keshteli M (2019) Designing and solving a bi-level model for rice supply chain using the evolutionary algorithms. Comput Electron Agric 162:651\u2013668","journal-title":"Comput Electron Agric"},{"key":"9798_CR14","doi-asserted-by":"publisher","DOI":"10.1016\/j.asoc.2021.107368","volume":"107","author":"D Chhibber","year":"2021","unstructured":"Chhibber D, Bisht DCS, Srivastava PK (2021) Pareto-optimal solution for fixed-charge solid transportation problem under intuitionistic fuzzy environment. Appl Soft Comput J 107:107368","journal-title":"Appl Soft Comput J"},{"key":"9798_CR15","doi-asserted-by":"publisher","DOI":"10.1016\/j.jenvman.2021.114252","volume":"303","author":"VK Chouhan","year":"2022","unstructured":"Chouhan VK, Khan SH, Hajiaghaei-Keshteli M (2022) Sustainable planning and decision-making model for sugarcane mills considering environmental issues. J Environ Manage 303:114252","journal-title":"J Environ Manage"},{"issue":"15","key":"9798_CR16","doi-asserted-by":"publisher","first-page":"8279","DOI":"10.3390\/su13158279","volume":"13","author":"A Ebadi Torkayesh","year":"2021","unstructured":"Ebadi Torkayesh A, Rezaei Vandchali H, Babaee Tirkolaee E (2021) Multi-objective optimization for healthcare waste management network design with sustainability perspective. Sustainability 13(15):8279","journal-title":"Sustainability"},{"key":"9798_CR17","doi-asserted-by":"publisher","DOI":"10.1016\/j.cie.2021.107102","volume":"153","author":"F Emtehani","year":"2021","unstructured":"Emtehani F, Nahavandi N, Rafiei FM (2021) An operations-finance integrated model with financial constraints for a manufacturer in a multi-supplier multi-product supply chain. Comput Ind Eng 153:107102","journal-title":"Comput Ind Eng"},{"key":"9798_CR18","doi-asserted-by":"publisher","first-page":"2967","DOI":"10.1007\/s00500-023-09227-0","volume":"28","author":"N Farzan","year":"2023","unstructured":"Farzan N, Mahmoodirad A, Niroomand S, Molla-Alizadeh-Zavardehi S (2023) A sustainable uncertain integrated supply chain network design and assembly line balancing problem with U-shaped assembly lines and multi-mode demand. Soft Comput 28:2967\u20132986","journal-title":"Soft Comput"},{"key":"9798_CR19","doi-asserted-by":"publisher","first-page":"6101","DOI":"10.1007\/s00500-022-07013-y","volume":"26","author":"A Fathi","year":"2022","unstructured":"Fathi A, Karimi B, Farzipoor Saen R (2022) Sustainability assessment of supply chains by a novel robust two-stage network DEA model: a case study in the transport industry. Soft Comput 26:6101\u20136118","journal-title":"Soft Comput"},{"key":"9798_CR20","doi-asserted-by":"publisher","first-page":"343","DOI":"10.1016\/j.asoc.2018.04.011","volume":"68","author":"AM Fathollahi Fard","year":"2018","unstructured":"Fathollahi Fard AM, Hajiaghaei-Keshteli M (2018) A bi-objective partial interdiction problem considering different defensive systems with capacity expansion of facilities under imminent attacks. Appl Soft Comput 68:343\u2013359","journal-title":"Appl Soft Comput"},{"issue":"2","key":"9798_CR21","doi-asserted-by":"publisher","first-page":"60","DOI":"10.1177\/003754970107600201","volume":"76","author":"ZW Geem","year":"2001","unstructured":"Geem ZW, Kim JH, Loganathan GV (2001) A new heuristic optimization algorithm: harmony search. Simulation 76(2):60\u201368","journal-title":"Simulation"},{"issue":"1","key":"9798_CR22","first-page":"39","volume":"3","author":"F Gholian Jouybari","year":"2016","unstructured":"Gholian Jouybari F, Afshari AJ, Paydar MM (2016) Electromagnetism-like algorithms for the fuzzy fixed charge transportation problem. J Ind Eng Manage Stud 3(1):39\u201360","journal-title":"J Ind Eng Manage Stud"},{"issue":"3","key":"9798_CR23","first-page":"148","volume":"35","author":"F Gholian-Jouybari","year":"2018","unstructured":"Gholian-Jouybari F, Afshari AJ, Paydar MM (2018) Utilizing new approaches to address the fuzzy fixed charge transportation problem. J Ind Prod Eng 35(3):148\u2013159","journal-title":"J Ind Prod Eng"},{"key":"9798_CR24","volume":"36","author":"F Gholian-Jouybari","year":"2023","unstructured":"Gholian-Jouybari F, Hajiaghaei-Keshteli M, Bavar A, Bavar A, Mosallanezhad B (2023a) A design of a circular closed-loop agri-food supply chain network\u2014a case study of the soybean industry. J Ind Inf Integr 36:100530","journal-title":"J Ind Inf Integr"},{"key":"9798_CR25","doi-asserted-by":"publisher","DOI":"10.1016\/j.eswa.2022.118880","volume":"213","author":"F Gholian-Jouybari","year":"2023","unstructured":"Gholian-Jouybari F, Hashemi-Amiri O, Mosallanezhad B, Hajiaghaei-Keshteli M (2023b) Metaheuristic algorithms for a sustainable agri-food supply chain considering marketing practices under uncertainty. Expert Syst Appl 213:118880","journal-title":"Expert Syst Appl"},{"key":"9798_CR26","doi-asserted-by":"publisher","first-page":"111017","DOI":"10.1016\/j.asoc.2023.111017","volume":"150","author":"F Gholian-Jouybari","year":"2024","unstructured":"Gholian-Jouybari F, Hajiaghaei-Keshteli M, Cornejo NRS, Calvo EZR, Mej\u00eda-Argueta C, Mosallanezhad B (2024) An in-depth metaheuristic approach to design a sustainable closed-loop agri-food supply chain network. Appl Soft Comput 150:111017","journal-title":"Appl Soft Comput"},{"key":"9798_CR27","doi-asserted-by":"publisher","DOI":"10.1007\/s10100-023-00870-4","author":"A Goli","year":"2023","unstructured":"Goli A, Babaee Tirkolaee E, Golmohammadi AM, Atan Z, Weber GW, Ali SS (2023) A robust optimization model to design an IoT-based sustainable supply chain network with flexibility. Central Eur J Oper Res. https:\/\/doi.org\/10.1007\/s10100-023-00870-4","journal-title":"Central Eur J Oper Res"},{"key":"9798_CR28","doi-asserted-by":"publisher","first-page":"143","DOI":"10.1016\/j.endm.2017.03.019","volume":"58","author":"S Golmohamadi","year":"2017","unstructured":"Golmohamadi S, Tavakkoli-Moghaddam R, Hajiaghaei-Keshteli M (2017) Solving a fuzzy fixed charge solid transportation problem using batch transferring by new approaches in meta-heuristic. Electron Notes Discrete Math 58:143\u2013150","journal-title":"Electron Notes Discrete Math"},{"key":"9798_CR29","doi-asserted-by":"publisher","first-page":"17","DOI":"10.1016\/j.knosys.2017.05.006","volume":"129","author":"A Golshahi-Roudbaneh","year":"2017","unstructured":"Golshahi-Roudbaneh A, Hajiaghaei-Keshteli M, Paydar MM (2017) Developing a lower bound and strong heuristics for a truck scheduling problem in a cross-docking center. Knowl-Based Syst 129:17\u201338","journal-title":"Knowl-Based Syst"},{"issue":"1","key":"9798_CR30","first-page":"532","volume":"28","author":"A Golshahi-Roudbaneh","year":"2021","unstructured":"Golshahi-Roudbaneh A, Hajiaghaei-Keshteli M, Paydar MM (2021) Cross-dock scheduling considering time windows and deadline for truck departures. Sci Iran 28(1):532\u2013546","journal-title":"Sci Iran"},{"key":"9798_CR31","doi-asserted-by":"publisher","first-page":"7527","DOI":"10.1007\/s00500-021-05711-7","volume":"25","author":"F Goodarzian","year":"2021","unstructured":"Goodarzian F, Kumar V, Abraham A (2021) Hybrid meta-heuristic algorithms for a supply chain network considering different carbon emission regulations using big data characteristics. Soft Comput 25:7527\u20137557","journal-title":"Soft Comput"},{"key":"9798_CR32","doi-asserted-by":"publisher","first-page":"343","DOI":"10.1007\/s00170-009-2486-9","volume":"50","author":"M Hajiaghaei-Keshteli","year":"2010","unstructured":"Hajiaghaei-Keshteli M, Sajadifar SM (2010) Deriving the cost function for a class of three-echelon inventory system with N-retailers and one-for-one ordering policy. Int J Adv Manuf Technol 50:343\u2013351","journal-title":"Int J Adv Manuf Technol"},{"issue":"2","key":"9798_CR33","doi-asserted-by":"publisher","first-page":"259","DOI":"10.1016\/j.cie.2010.04.007","volume":"59","author":"M Hajiaghaei-Keshteli","year":"2010","unstructured":"Hajiaghaei-Keshteli M, Molla-Alizadeh-Zavardehi S, Tavakkoli-Moghaddam R (2010) Addressing a nonlinear fixed-charge transportation problem using a spanning tree-based genetic algorithm. Comput Ind Eng 59(2):259\u2013271","journal-title":"Comput Ind Eng"},{"key":"9798_CR34","doi-asserted-by":"publisher","first-page":"831","DOI":"10.1007\/s00170-010-3112-6","volume":"55","author":"M Hajiaghaei-Keshteli","year":"2011","unstructured":"Hajiaghaei-Keshteli M, Sajadifar SM, Haji R (2011) Determination of the economical policy of a three-echelon inventory system with (R, Q) ordering policy and information sharing. Int J Adv Manuf Technol 55:831\u2013841","journal-title":"Int J Adv Manuf Technol"},{"key":"9798_CR35","doi-asserted-by":"publisher","DOI":"10.1016\/j.eswa.2023.120036","volume":"224","author":"M Hajiaghaei-Keshteli","year":"2023","unstructured":"Hajiaghaei-Keshteli M, Cenk Z, Erdebilli B, \u00d6zdemir YS, Gholian-Jouybari F (2023a) Pythagorean fuzzy TOPSIS method for green supplier selection in the food industry. Expert Syst Appl 224:120036","journal-title":"Expert Syst Appl"},{"key":"9798_CR36","doi-asserted-by":"publisher","DOI":"10.1016\/j.jclepro.2023.138471","volume":"421","author":"M Hajiaghaei-Keshteli","year":"2023","unstructured":"Hajiaghaei-Keshteli M, Rahmanifar G, Mohammadi M, Gholian-Jouybari F, Kleme\u0161 JJ, Zahmatkesh S, Colombaroni C (2023b) Designing a multi-period dynamic electric vehicle production-routing problem in a supply chain considering energy consumption. J Clean Prod 421:138471","journal-title":"J Clean Prod"},{"issue":"4","key":"9798_CR37","doi-asserted-by":"publisher","first-page":"448","DOI":"10.1287\/opre.10.4.448","volume":"10","author":"KB Haley","year":"1962","unstructured":"Haley KB (1962) New methods in mathematical programming-the solid transportation problem. Oper Res 10(4):448\u2013463","journal-title":"Oper Res"},{"key":"9798_CR38","doi-asserted-by":"publisher","DOI":"10.1016\/j.eswa.2023.120377","volume":"227","author":"SE Hashemi","year":"2023","unstructured":"Hashemi SE, Gholian-Jouybari F, Hajiaghaei-Keshteli M (2023) A fuzzy C-means algorithm for optimizing data clustering. Expert Syst Appl 227:120377","journal-title":"Expert Syst Appl"},{"issue":"3","key":"9798_CR39","doi-asserted-by":"publisher","first-page":"413","DOI":"10.1002\/nav.3800150306","volume":"15","author":"WM Hirsch","year":"1968","unstructured":"Hirsch WM, Dantzig GB (1968) The fixed charge problem. Naval Res Logist Q 15(3):413\u2013424","journal-title":"Naval Res Logist Q"},{"issue":"1\u20134","key":"9798_CR40","doi-asserted-by":"publisher","first-page":"224","DOI":"10.1002\/sapm1941201224","volume":"20","author":"FL Hitchcock","year":"1941","unstructured":"Hitchcock FL (1941) The distribution of a product from several sources to numerous localities. J Math Phys 20(1\u20134):224\u2013230","journal-title":"J Math Phys"},{"key":"9798_CR41","volume-title":"Adaptation in natural and artificial systems: an introductory analysis with applications to biology. Control and artificial intelligence","author":"J Holland","year":"1975","unstructured":"Holland J (1975) Adaptation in natural and artificial systems: an introductory analysis with applications to biology. Control and artificial intelligence. University of Michigan Press, USA"},{"issue":"4598","key":"9798_CR42","doi-asserted-by":"publisher","first-page":"671","DOI":"10.1126\/science.220.4598.671","volume":"220","author":"S Kirkpatrick","year":"1983","unstructured":"Kirkpatrick S, Gelatt CD, Vecchi MP (1983) Optimization by simulated annealing. Science 220(4598):671\u2013680","journal-title":"Science"},{"issue":"4","key":"9798_CR43","doi-asserted-by":"publisher","first-page":"1698","DOI":"10.1007\/s12063-023-00360-5","volume":"16","author":"S Korucuk","year":"2023","unstructured":"Korucuk S, Babaee Tirkolaee E, Aytekin A, Karama\u015fa \u00c7 (2023) Agile supply chain management based on critical success factors and most ideal risk reduction strategy in the era of industry 4.0: application to plastic industry. Oper Manage Res 16(4):1698\u20131719","journal-title":"Oper Manage Res"},{"issue":"1","key":"9798_CR44","doi-asserted-by":"publisher","first-page":"2632","DOI":"10.1108\/SRT-01-2021-0002","volume":"4","author":"A Mahmoodi","year":"2022","unstructured":"Mahmoodi A, Jasemi M, Hashemi L, Millar R (2022) Analysis of optimized response time in a new disaster management model by applying metaheuristic and exact methods. Smart Resilient Transp 4(1):2632\u20133487","journal-title":"Smart Resilient Transp"},{"issue":"1","key":"9798_CR45","doi-asserted-by":"publisher","first-page":"59","DOI":"10.1007\/s12597-022-00608-x","volume":"60","author":"A Mahmoodi","year":"2023","unstructured":"Mahmoodi A, Hashemi L, Jasemi M, Mehraban S, Lalibert\u00e9 J, Millar RC (2023) A developed stock price forecasting model using support vector machine combined with metaheuristic algorithms. Opsearch 60(1):59\u201386","journal-title":"Opsearch"},{"issue":"4","key":"9798_CR46","doi-asserted-by":"publisher","first-page":"5659","DOI":"10.1002\/ijfe.2086","volume":"26","author":"A Mahmoudi","year":"2021","unstructured":"Mahmoudi A, Hashemi L, Jasemi M, Pope J (2021a) A comparison on particle swarm optimization and genetic algorithm performances in deriving the efficient frontier of stocks portfolios based on a mean-lower partial moment model. Int J Financ Econ 26(4):5659\u20135665","journal-title":"Int J Financ Econ"},{"issue":"11","key":"9798_CR47","doi-asserted-by":"publisher","first-page":"3665","DOI":"10.1016\/j.net.2021.05.011","volume":"53","author":"SM Mahmoudi","year":"2021","unstructured":"Mahmoudi SM, Mansouri Rad M, Rezaei Ochbelagh D (2021b) Hybrid of the fuzzy logic controller with the harmony search algorithm to PWR in-core fuel management optimization. Nucl Eng Technol 53(11):3665\u20133674","journal-title":"Nucl Eng Technol"},{"key":"9798_CR48","doi-asserted-by":"publisher","DOI":"10.1016\/j.eswa.2019.07.025","volume":"140","author":"AM Mohammed","year":"2020","unstructured":"Mohammed AM, Duffuaa SO (2020) A tabu search based algorithm for the optimal design of multi-objective multi-product supply chain networks. Expert Syst Appl 140:112808","journal-title":"Expert Syst Appl"},{"issue":"5\u20136","key":"9798_CR49","doi-asserted-by":"publisher","first-page":"1543","DOI":"10.1016\/j.mcm.2012.12.031","volume":"57","author":"S Molla-Alizadeh-Zavardehi","year":"2013","unstructured":"Molla-Alizadeh-Zavardehi S, Sadi Nezhad S, Tavakkoli-Moghaddam R, Yazdani M (2013) Solving a fuzzy fixed charge solid transportation problem by metaheuristics. Math Comput Model 57(5\u20136):1543\u20131558","journal-title":"Math Comput Model"},{"issue":"4","key":"9798_CR50","first-page":"371","volume":"8","author":"S Molla-Alizadeh-Zavardehi","year":"2021","unstructured":"Molla-Alizadeh-Zavardehi S, Mahmoodirad A, Sanei M (2021) Metaheuristics for data envelopment analysis problems. Int J Syst Sci 8(4):371\u2013382","journal-title":"Int J Syst Sci"},{"key":"9798_CR51","doi-asserted-by":"publisher","DOI":"10.1016\/j.cie.2019.106008","volume":"137","author":"H Mollanoori","year":"2019","unstructured":"Mollanoori H, Tavakkoli-Moghaddam R, Triki C, Hajiaghaei-Keshteli M, Sabouhi F (2019) Extending the solid step fixed-charge transportation problem to consider two-stage networks and multi-item shipments. Comput Ind Eng 137:106008","journal-title":"Comput Ind Eng"},{"key":"9798_CR52","doi-asserted-by":"publisher","DOI":"10.1016\/j.asoc.2021.107809","volume":"112","author":"B Mosallanezhad","year":"2021","unstructured":"Mosallanezhad B, Chouhan VK, Paydar MM, Hajiaghaei-Keshteli M (2021) Disaster relief supply chain design for personal protection equipment during the COVID-19 pandemic. Appl Soft Comput 112:107809","journal-title":"Appl Soft Comput"},{"key":"9798_CR53","doi-asserted-by":"publisher","first-page":"491","DOI":"10.1016\/j.aej.2023.01.022","volume":"68","author":"B Mosallanezhad","year":"2023","unstructured":"Mosallanezhad B, Arjomandi MA, Hashemi-Amiri O, Gholian-Jouybari F, Dibaj M, Akrami M, Hajiaghaei-Keshteli M (2023) Metaheuristic optimizers to solve multi-echelon sustainable fresh seafood supply chain network design problem: a case of shrimp products. Alex Eng J 68:491\u2013515","journal-title":"Alex Eng J"},{"key":"9798_CR54","doi-asserted-by":"publisher","DOI":"10.1016\/j.cie.2021.107501","volume":"160","author":"R Mousavi","year":"2021","unstructured":"Mousavi R, Salehi-Amiri A, Zahedi A, Hajiaghaei-Keshteli M (2021) Designing a supply chain network for blood decomposition by utilizing social and environmental factor. Comput Ind Eng 160:107501","journal-title":"Comput Ind Eng"},{"key":"9798_CR55","doi-asserted-by":"publisher","first-page":"117","DOI":"10.1016\/j.isatra.2020.07.033","volume":"107","author":"S Niroomand","year":"2020","unstructured":"Niroomand S, Garg H, Mahmoodirad A (2020) An intuitionistic fuzzy two stage supply chain network design problem with multi-mode demand and multi-mode transportation. ISA Trans 107:117\u2013133","journal-title":"ISA Trans"},{"key":"9798_CR56","doi-asserted-by":"publisher","DOI":"10.1016\/j.eswa.2023.120070","volume":"224","author":"K Pal","year":"2023","unstructured":"Pal K, Sachan S, Gholian-Jouybari F, Hajiaghaei-Keshteli M (2023) An analysis of the security of multi-area power transmission lines using fuzzy-ACO. Expert Syst Appl 224:120070","journal-title":"Expert Syst Appl"},{"key":"9798_CR57","doi-asserted-by":"publisher","DOI":"10.1016\/j.cie.2021.107191","volume":"155","author":"S Pazhani","year":"2021","unstructured":"Pazhani S, Mendoza A, Nambirajan P, Narendran TT, Ganesh K, Olivares-Benitez E (2021) Multi-period multi-product closed loop supply chain network design: a relaxation approach. Comput Ind Eng 155:107191","journal-title":"Comput Ind Eng"},{"issue":"1","key":"9798_CR58","doi-asserted-by":"publisher","first-page":"144","DOI":"10.1016\/j.ejor.2020.08.005","volume":"290","author":"M Quetschlich","year":"2021","unstructured":"Quetschlich M, Moetz A, Otto B (2021) Optimisation model for multi-item multi-echelon supply chains with nested multi-level products. Eur J Oper Res 290(1):144\u2013158","journal-title":"Eur J Oper Res"},{"key":"9798_CR59","doi-asserted-by":"publisher","DOI":"10.1016\/j.eswa.2023.119504","volume":"217","author":"A Rajabi-Kafshgar","year":"2023","unstructured":"Rajabi-Kafshgar A, Gholian-Jouybari F, Seyedi I, Hajiaghaei-Keshteli M (2023) Utilizing hybrid metaheuristic approach to design an agricultural closed-loop supply chain network. Expert Syst Appl 217:119504","journal-title":"Expert Syst Appl"},{"issue":"1","key":"9798_CR60","first-page":"39","volume":"13","author":"N Sahebjamnia","year":"2020","unstructured":"Sahebjamnia N, Goodarzian F, Hajiaghaei-Keshteli M (2020) Optimization of multi-period three-echelon citrus supply chain problem. J Optim Ind Eng 13(1):39\u201353","journal-title":"J Optim Ind Eng"},{"key":"9798_CR61","doi-asserted-by":"publisher","DOI":"10.1016\/j.cie.2019.106156","volume":"139","author":"SAH Salehi Amiri","year":"2020","unstructured":"Salehi Amiri SAH, Zahedi A, Kazemi M, Soroor J, Hajiaghaei-Keshteli M (2020) Determination of the optimal sales level of perishable goods in a two-echelon supply chain network. Comput Ind Eng 139:106156","journal-title":"Comput Ind Eng"},{"key":"9798_CR62","doi-asserted-by":"publisher","DOI":"10.1016\/j.rser.2021.110821","volume":"141","author":"A Salehi-Amiri","year":"2021","unstructured":"Salehi-Amiri A, Zahedi A, Akbapour N, Hajiaghaei-Keshteli M (2021) Designing a sustainable closed-loop supply chain network for walnut industry. Renew Sustain Energy Rev 141:110821","journal-title":"Renew Sustain Energy Rev"},{"key":"9798_CR63","doi-asserted-by":"publisher","DOI":"10.1016\/j.rser.2021.112031","volume":"157","author":"A Salehi-Amiri","year":"2022","unstructured":"Salehi-Amiri A, Akbapour N, Hajiaghaei-Keshteli M, Gajpal Y, Jabbarzadeh A (2022a) Designing an effective two-stage, sustainable, and IoT based waste management system. Renew Sustain Energy Rev 157:112031","journal-title":"Renew Sustain Energy Rev"},{"key":"9798_CR64","doi-asserted-by":"publisher","first-page":"600","DOI":"10.1016\/j.apm.2021.08.035","volume":"101","author":"A Salehi-Amiri","year":"2022","unstructured":"Salehi-Amiri A, Zahedi A, Gholian-Jouybari F, Calvo EZR, Hajiaghaei-Keshteli M (2022b) Designing a closed-loop supply chain network considering social factors; a case study on avocado industry. Appl Math Model 101:600\u2013631","journal-title":"Appl Math Model"},{"key":"9798_CR65","doi-asserted-by":"publisher","DOI":"10.1016\/j.cie.2019.106107","volume":"138","author":"A Shoja","year":"2019","unstructured":"Shoja A, Molla-Alizadeh-Zavardehi S, Niroomand S (2019) Adaptive meta-heuristic algorithms for flexible supply chain network design problem with different delivery modes. Comput Ind Eng 138:106107","journal-title":"Comput Ind Eng"},{"key":"9798_CR66","doi-asserted-by":"publisher","DOI":"10.1016\/j.est.2023.109582","volume":"75","author":"X Sun","year":"2024","unstructured":"Sun X, He H, Ma L (2024) Harmony search meta-heuristic algorithm based on the optimal sizing of wind-battery hybrid micro-grid power system with different battery technologies. J Energy Storage 75:109582","journal-title":"J Energy Storage"},{"key":"9798_CR67","doi-asserted-by":"publisher","DOI":"10.1016\/j.cie.2021.107126","volume":"154","author":"M Taheri-Bavil-Oliaei","year":"2021","unstructured":"Taheri-Bavil-Oliaei M, Zegordi SH, Tavakkoli-Moghaddam R (2021) Bi-objective build-to-order supply chain network design under uncertainty and time-dependent demand: an automobile case study. Comput Ind Eng 154:107126","journal-title":"Comput Ind Eng"},{"key":"9798_CR68","doi-asserted-by":"publisher","DOI":"10.1016\/j.eswa.2023.122394","volume":"239","author":"R Tavakkoli-Moghaddam","year":"2023","unstructured":"Tavakkoli-Moghaddam R, Akbari AH, Tanhaeean M, Moghdani R, Gholian-Jouybari F, Hajiaghaei-Keshteli M (2023) Multi-objective boxing match algorithm for multi-objective optimization problems. Expert Syst Appl 239:122394","journal-title":"Expert Syst Appl"},{"key":"9798_CR69","doi-asserted-by":"publisher","first-page":"278","DOI":"10.1016\/j.spc.2021.12.003","volume":"30","author":"MM Vali-Siar","year":"2022","unstructured":"Vali-Siar MM, Roghanian E (2022) Sustainable, resilient and responsive mixed supply chain network design under hybrid uncertainty with considering COVID-19 pandemic disruption. Sustain Prod Consump 30:278\u2013300","journal-title":"Sustain Prod Consump"},{"key":"9798_CR70","doi-asserted-by":"publisher","DOI":"10.1016\/j.asoc.2021.108078","volume":"114","author":"J Wang","year":"2022","unstructured":"Wang J, Wan Q (2022) A multi-period multi-product green supply network design problem with price and greenness dependent demands under uncertainty. Appl Soft Comput 114:108078","journal-title":"Appl Soft Comput"},{"key":"9798_CR71","doi-asserted-by":"publisher","DOI":"10.1016\/j.eswa.2021.115054","volume":"178","author":"Q Zhu","year":"2021","unstructured":"Zhu Q, Tang X, Elahi A (2021) Application of the novel harmony search optimization algorithm for DBSCAN clustering. Expert Syst Appl 178:115054","journal-title":"Expert Syst Appl"}],"container-title":["Soft Computing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s00500-024-09798-6.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s00500-024-09798-6","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s00500-024-09798-6.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,2,26]],"date-time":"2026-02-26T09:02:52Z","timestamp":1772096572000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s00500-024-09798-6"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2024,10,4]]},"references-count":71,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2026,2]]}},"alternative-id":["9798"],"URL":"https:\/\/doi.org\/10.1007\/s00500-024-09798-6","relation":{},"ISSN":["1432-7643","1433-7479"],"issn-type":[{"value":"1432-7643","type":"print"},{"value":"1433-7479","type":"electronic"}],"subject":[],"published":{"date-parts":[[2024,10,4]]},"assertion":[{"value":"6 March 2024","order":1,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"4 October 2024","order":2,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}},{"order":1,"name":"Ethics","group":{"name":"EthicsHeading","label":"Declarations"}},{"value":"The authors declare that they have no conflict of interest.","order":2,"name":"Ethics","group":{"name":"EthicsHeading","label":"Conflict of interest"}},{"value":"The authors declare that research ethics approval was not required for this study. All applicable international, national, and\/or institutional guidelines for the care and use of animals were followed.","order":3,"name":"Ethics","group":{"name":"EthicsHeading","label":"Ethical approval and consent to participate"}},{"value":"We give our consent for the publication of identifiable details, which can include photograph(s) and\/or videos and\/or case history and\/or details within the text to be published in the above Journal and Article.","order":4,"name":"Ethics","group":{"name":"EthicsHeading","label":"Consent for publication"}}]}}