{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,13]],"date-time":"2026-03-13T18:10:55Z","timestamp":1773425455835,"version":"3.50.1"},"reference-count":33,"publisher":"Springer Science and Business Media LLC","issue":"1-2","license":[{"start":{"date-parts":[[2022,12,5]],"date-time":"2022-12-05T00:00:00Z","timestamp":1670198400000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2022,12,5]],"date-time":"2022-12-05T00:00:00Z","timestamp":1670198400000},"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":["Ann Oper Res"],"published-print":{"date-parts":[[2023,2]]},"DOI":"10.1007\/s10479-022-05080-w","type":"journal-article","created":{"date-parts":[[2022,12,5]],"date-time":"2022-12-05T13:05:20Z","timestamp":1670245520000},"page":"49-78","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":16,"title":["A new branch and efficiency algorithm for an optimal design of the supply chain network in view of resilience, inequity and traffic congestion"],"prefix":"10.1007","volume":"321","author":[{"given":"Ardavan","family":"Babaei","sequence":"first","affiliation":[]},{"given":"Majid","family":"Khedmati","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0002-0215-6805","authenticated-orcid":false,"given":"Mohammad Reza","family":"Akbari Jokar","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2022,12,5]]},"reference":[{"issue":"6","key":"5080_CR1","doi-asserted-by":"publisher","first-page":"4165","DOI":"10.1016\/j.apm.2012.09.039","volume":"37","author":"SH Amin","year":"2013","unstructured":"Amin, S. H., & Zhang, G. (2013). A multi-objective facility location model for closed-loop supply chain network under uncertain demand and return. Applied Mathematical Modelling, 37(6), 4165\u20134176.","journal-title":"Applied Mathematical Modelling"},{"key":"5080_CR2","doi-asserted-by":"publisher","first-page":"513","DOI":"10.1007\/s10100-010-0140-0","volume":"19","author":"A Amirteimoori","year":"2011","unstructured":"Amirteimoori, A. (2011). An extended transportation problem: A DEA-based approach. Central European Journal of Operations Research, 19, 513\u2013521. https:\/\/doi.org\/10.1007\/s10100-010-0140-0","journal-title":"Central European Journal of Operations Research"},{"key":"5080_CR3","doi-asserted-by":"publisher","DOI":"10.1504\/EJIE.2023.10050962","author":"A Babaei","year":"2022","unstructured":"Babaei, A., Khedmati, M., & Jokar, M. R. A. (2022a). Efficient hybrid delivery in the last mile logistics. European Journal of Industrial Engineering. https:\/\/doi.org\/10.1504\/EJIE.2023.10050962","journal-title":"European Journal of Industrial Engineering"},{"issue":"19","key":"5080_CR4","doi-asserted-by":"publisher","first-page":"12607","DOI":"10.3390\/su141912607","volume":"14","author":"A Babaei","year":"2022","unstructured":"Babaei, A., Khedmati, M., Jokar, M. R. A., & Babaee Tirkolaee, E. (2022b). Performance evaluation of omni-channel distribution network configurations considering green and transparent criteria under uncertainty. Sustainability, 14(19), 12607.","journal-title":"Sustainability"},{"key":"5080_CR5","doi-asserted-by":"publisher","first-page":"694","DOI":"10.1016\/j.jclepro.2015.09.038","volume":"147","author":"R Babazadeh","year":"2015","unstructured":"Babazadeh, R., Razmi, J., Rabbani, M., & Pishvaee, M. S. (2015). An integrated data envelopment analysis-mathematical programming approach to strategic biodiesel supply chain network design problem. Journal of Cleaner Production, 147, 694\u2013707. https:\/\/doi.org\/10.1016\/j.jclepro.2015.09.038","journal-title":"Journal of Cleaner Production"},{"key":"5080_CR6","doi-asserted-by":"publisher","DOI":"10.1016\/j.tre.2020.102168","volume":"145","author":"A Darmawan","year":"2021","unstructured":"Darmawan, A., Wong, H., & Thorstenson, A. (2021). Supply chain network design with coordinated inventory control. Transportation Research Part e: Logistics and Transportation Review, 145, 102168.","journal-title":"Transportation Research Part e: Logistics and Transportation Review"},{"key":"5080_CR7","doi-asserted-by":"publisher","first-page":"696","DOI":"10.1016\/j.jclepro.2018.02.256","volume":"184","author":"A Fathi","year":"2018","unstructured":"Fathi, A., & Saen, R. F. (2018). A novel bidirectional network data envelopment analysis model for evaluating sustainability of distributive supply chains of transport companies. Journal of Cleaner Production, 184, 696\u2013708. https:\/\/doi.org\/10.1016\/j.jclepro.2018.02.256","journal-title":"Journal of Cleaner Production"},{"key":"5080_CR8","doi-asserted-by":"crossref","unstructured":"Ghalandari, M., Amirkhan, M., & Amoozad-Khalili, H. (2022). A hybrid model for robust design of sustainable closed-loop supply chain in lead-acid battery industry. Environmental Science and Pollution Research, 1\u201326.","DOI":"10.1007\/s11356-022-21840-4"},{"issue":"2","key":"5080_CR9","doi-asserted-by":"publisher","first-page":"442","DOI":"10.1016\/j.ejor.2018.08.046","volume":"278","author":"MR Ghasemi","year":"2019","unstructured":"Ghasemi, M. R., Ignatius, J., & Rezaee, B. (2019). Improving discriminating power in data envelopment models based on deviation variables framework. European Journal of Operational Research, 278(2), 442\u2013447.","journal-title":"European Journal of Operational Research"},{"issue":"1","key":"5080_CR10","doi-asserted-by":"publisher","first-page":"108","DOI":"10.1016\/j.ejor.2017.04.009","volume":"263","author":"K Govindan","year":"2017","unstructured":"Govindan, K., Fattahi, M., & Keyvanshokooh, E. (2017). Supply chain network design under uncertainty: A comprehensive review and future research directions. European Jorunal of Operational Research, 263(1), 108\u2013141. https:\/\/doi.org\/10.1016\/j.ejor.2017.04.009","journal-title":"European Jorunal of Operational Research"},{"key":"5080_CR11","doi-asserted-by":"publisher","first-page":"113","DOI":"10.1016\/j.renene.2014.05.001","volume":"71","author":"E Grigoroudis","year":"2014","unstructured":"Grigoroudis, E., Petridis, K., & Arabatzis, G. (2014). RDEA\u202f: A recursive DEA based algorithm for the optimal design of biomass supply chain networks. Renewable Energy, 71, 113\u2013122. https:\/\/doi.org\/10.1016\/j.renene.2014.05.001","journal-title":"Renewable Energy"},{"key":"5080_CR12","doi-asserted-by":"publisher","DOI":"10.1016\/j.energy.2020.118342","volume":"209","author":"J Hong","year":"2020","unstructured":"Hong, J., & Mwakalonge, J. L. (2020). Biofuel logistics network scheme design with combined data envelopment analysis approach. Energy, 209, 118342. https:\/\/doi.org\/10.1016\/j.energy.2020.118342","journal-title":"Energy"},{"issue":"March","key":"5080_CR13","doi-asserted-by":"publisher","first-page":"285","DOI":"10.1016\/j.tre.2019.03.001","volume":"125","author":"S Hosseini","year":"2019","unstructured":"Hosseini, S., Ivanov, D., & Dolgui, A. (2019). Review of quantitative methods for supply chain resilience analysis. Transportation Research Part E, 125(March), 285\u2013307. https:\/\/doi.org\/10.1016\/j.tre.2019.03.001","journal-title":"Transportation Research Part E"},{"key":"5080_CR14","doi-asserted-by":"publisher","first-page":"343","DOI":"10.1016\/j.cor.2017.10.002","volume":"100","author":"M Izadikhah","year":"2018","unstructured":"Izadikhah, M., & Farzipoor, R. (2018). Computers and operations research assessing sustainability of supply chains by chance-constrained two-stage DEA model in the presence of undesirable factors. Computers and Operations Research, 100, 343\u2013367. https:\/\/doi.org\/10.1016\/j.cor.2017.10.002","journal-title":"Computers and Operations Research"},{"key":"5080_CR15","doi-asserted-by":"publisher","first-page":"1224","DOI":"10.1016\/j.cie.2018.11.009","volume":"135","author":"M Kalantary","year":"2018","unstructured":"Kalantary, M., & Saen, R. F. (2018). Assessing sustainability of supply chains: An inverse network dynamic DEA model. Computers & Industrial Engineering, 135, 1224\u20131238. https:\/\/doi.org\/10.1016\/j.cie.2018.11.009","journal-title":"Computers & Industrial Engineering"},{"key":"5080_CR16","unstructured":"Khisty, C. J., & Lall, B. K. (2002). Transportation engineering: An introduction. Prentice Hall. ISBN\u00a013:\u00a09780130335609"},{"key":"5080_CR17","doi-asserted-by":"publisher","DOI":"10.1007\/s10479-019-03451-4","author":"M Kumar","year":"2019","unstructured":"Kumar, M., Devika, M., Pankaj, K., & Usha, G. (2019). Sustainable transportation planning for a three-stage fixed charge multi-objective transportation problem. Annals of Operations Research. https:\/\/doi.org\/10.1007\/s10479-019-03451-4","journal-title":"Annals of Operations Research"},{"key":"5080_CR18","doi-asserted-by":"publisher","first-page":"457","DOI":"10.1016\/j.cor.2006.03.010","volume":"35","author":"RK Klimberg","year":"2008","unstructured":"Klimberg, R. K., & Ratick, S. J. (2008). Modeling data envelopment analysis (DEA) efficient location\/allocation decisions. Computers and Operations Research, 35, 457\u2013474. https:\/\/doi.org\/10.1016\/j.cor.2006.03.010","journal-title":"Computers and Operations Research"},{"issue":"July","key":"5080_CR19","doi-asserted-by":"publisher","first-page":"333","DOI":"10.1016\/j.cie.2017.09.022","volume":"113","author":"FRC Lima-Junior","year":"2017","unstructured":"Lima-Junior, F. R. C., & Carpinetti, L. C. R. (2017). Quantitative models for supply chain performance evaluation: A literature review. Computers & Industrial Engineering, 113(July), 333\u2013346. https:\/\/doi.org\/10.1016\/j.cie.2017.09.022","journal-title":"Computers & Industrial Engineering"},{"key":"5080_CR20","doi-asserted-by":"publisher","first-page":"307","DOI":"10.1007\/s10479-017-2653-6","volume":"264","author":"S Lozano","year":"2017","unstructured":"Lozano, S., & Adenso-Diaz, B. (2017). Network DEA-based biobjective optimization of product flows in a supply chain. Annals of Operations Research, 264, 307\u2013323. https:\/\/doi.org\/10.1007\/s10479-017-2653-6","journal-title":"Annals of Operations Research"},{"key":"5080_CR21","doi-asserted-by":"publisher","DOI":"10.1016\/j.jclepro.2021.127323","volume":"308","author":"H Moheb-Alizadeh","year":"2021","unstructured":"Moheb-Alizadeh, H., Handfield, R., & Warsing, D. (2021). Efficient and sustainable closed-loop supply chain network design: A two-stage stochastic formulation with a hybrid solution methodology. Journal of Cleaner Production, 308, 127323.","journal-title":"Journal of Cleaner Production"},{"issue":"7","key":"5080_CR22","doi-asserted-by":"publisher","first-page":"816","DOI":"10.1057\/jors.2016.42","volume":"68","author":"H Omrani","year":"2017","unstructured":"Omrani, H., Adabi, F., & Adabi, N. (2017). Designing an efficient supply chain network with uncertain data: A robust optimization - data envelopment analysis approach. Journal of the Operational Research Society, 68(7), 816\u2013828. https:\/\/doi.org\/10.1057\/jors.2016.42","journal-title":"Journal of the Operational Research Society"},{"key":"5080_CR23","doi-asserted-by":"publisher","first-page":"113","DOI":"10.1016\/j.cie.2018.05.026","volume":"121","author":"M Pariazar","year":"2018","unstructured":"Pariazar, M., & Sir, M. Y. (2018). A multi-objective approach for supply chain design considering disruptions impacting supply availability and quality. Computers & Industrial Engineering, 121, 113\u2013130. https:\/\/doi.org\/10.1016\/j.cie.2018.05.026","journal-title":"Computers & Industrial Engineering"},{"issue":"1","key":"5080_CR24","doi-asserted-by":"publisher","first-page":"63","DOI":"10.1007\/s10479-013-1420-6","volume":"227","author":"K Petridis","year":"2015","unstructured":"Petridis, K. (2015). Optimal design of multi-echelon supply chain networks under normally distributed demand. Annals of Operations Research, 227(1), 63\u201391.","journal-title":"Annals of Operations Research"},{"key":"5080_CR25","doi-asserted-by":"publisher","first-page":"545","DOI":"10.1007\/s10479-016-2268-3","volume":"253","author":"K Petridis","year":"2016","unstructured":"Petridis, K., Kumar, P., & Emrouznejad, A. (2016). A branch and efficiency algorithm for the optimal design of supply chain networks. Annals of Operations Research, 253, 545\u2013571. https:\/\/doi.org\/10.1007\/s10479-016-2268-3","journal-title":"Annals of Operations Research"},{"key":"5080_CR26","doi-asserted-by":"publisher","first-page":"35","DOI":"10.1016\/j.cor.2014.08.010","volume":"54","author":"K Sarrafha","year":"2015","unstructured":"Sarrafha, K., Rahmati, S. H. A., Niaki, S. T. A., & Zaretalab, A. (2015). A bi-objective integrated procurement, production, and distribution problem of a multi-echelon supply chain network design: A new tuned MOEA. Computers & Operations Research, 54, 35\u201351.","journal-title":"Computers & Operations Research"},{"key":"5080_CR27","doi-asserted-by":"publisher","first-page":"915","DOI":"10.1007\/s10479-017-2605-1","volume":"271","author":"S Soheilirad","year":"2017","unstructured":"Soheilirad, S., Govindan, K., Mardani, A., Zavadskas, E. K., Nilashi, M., & Zakuan, N. (2017). Application of data envelopment analysis models in supply chain management: A systematic review and meta-analysis. Annals of Operations Research, 271, 915\u2013969. https:\/\/doi.org\/10.1007\/s10479-017-2605-1","journal-title":"Annals of Operations Research"},{"key":"5080_CR28","doi-asserted-by":"publisher","first-page":"322","DOI":"10.1016\/j.measurement.2015.10.023","volume":"78","author":"M Tavana","year":"2016","unstructured":"Tavana, M., Amin, M., Di, D., & Rahpeyma, B. (2016). A two-stage data envelopment analysis model for measuring performance in three-level supply chains. Measurement, 78, 322\u2013333. https:\/\/doi.org\/10.1016\/j.measurement.2015.10.023","journal-title":"Measurement"},{"issue":"2","key":"5080_CR29","doi-asserted-by":"publisher","first-page":"501","DOI":"10.1016\/j.cie.2013.07.016","volume":"66","author":"M Tavana","year":"2013","unstructured":"Tavana, M., Mirzagoltabar, H., Mirhedayatian, S. M., Saen, R. F., & Azadi, M. (2013). A new network epsilon-based DEA model for supply chain performance evaluation. Computers & Industrial Engineering, 66(2), 501\u2013513. https:\/\/doi.org\/10.1016\/j.cie.2013.07.016","journal-title":"Computers & Industrial Engineering"},{"key":"5080_CR30","doi-asserted-by":"crossref","unstructured":"Tavassoli, M., Fathi, A., & Saen, R. F. (2021). Assessing the sustainable supply chains of tomato paste by fuzzy double frontier network DEA model. Annals of Operations Research, 1\u201333.","DOI":"10.1007\/s10479-021-04139-4"},{"issue":"1987","key":"5080_CR31","doi-asserted-by":"publisher","first-page":"27","DOI":"10.1016\/0165-0114(87)90111-4","volume":"24","author":"RN Tiwari","year":"1987","unstructured":"Tiwari, R. N., Dharmar, S., & Rao, J. R. (1987). Fuzzy goal programming\u2014An additive model. Fuzzy Sets and Systems, 24(1987), 27\u201334. https:\/\/doi.org\/10.1016\/0165-0114(87)90111-4","journal-title":"Fuzzy Sets and Systems"},{"key":"5080_CR32","doi-asserted-by":"publisher","DOI":"10.1155\/2018\/3959141","author":"Y Wei","year":"2018","unstructured":"Wei, Y., Chen, F., & Xiong, F. (2018). Dynamic complexities in a supply chain system with lateral transshipments. Complexity. https:\/\/doi.org\/10.1155\/2018\/3959141","journal-title":"Complexity"},{"issue":"1","key":"5080_CR33","doi-asserted-by":"publisher","first-page":"45","DOI":"10.1016\/0165-0114(78)90031-3","volume":"1","author":"HJ Zimmermann","year":"1978","unstructured":"Zimmermann, H. J. (1978). Fuzzy programming and linear programming with several objective functions. Fuzzy Sets and Systems, 1(1), 45\u201355. https:\/\/doi.org\/10.1016\/0165-0114(78)90031-3","journal-title":"Fuzzy Sets and Systems"}],"container-title":["Annals of Operations Research"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s10479-022-05080-w.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s10479-022-05080-w\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s10479-022-05080-w.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,1,25]],"date-time":"2023-01-25T19:12:37Z","timestamp":1674673957000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s10479-022-05080-w"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2022,12,5]]},"references-count":33,"journal-issue":{"issue":"1-2","published-print":{"date-parts":[[2023,2]]}},"alternative-id":["5080"],"URL":"https:\/\/doi.org\/10.1007\/s10479-022-05080-w","relation":{},"ISSN":["0254-5330","1572-9338"],"issn-type":[{"value":"0254-5330","type":"print"},{"value":"1572-9338","type":"electronic"}],"subject":[],"published":{"date-parts":[[2022,12,5]]},"assertion":[{"value":"10 November 2022","order":1,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"5 December 2022","order":2,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}