{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,14]],"date-time":"2026-02-14T05:23:58Z","timestamp":1771046638143,"version":"3.50.1"},"reference-count":46,"publisher":"Springer Science and Business Media LLC","issue":"5","license":[{"start":{"date-parts":[[2019,11,23]],"date-time":"2019-11-23T00:00:00Z","timestamp":1574467200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2019,11,23]],"date-time":"2019-11-23T00:00:00Z","timestamp":1574467200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Optim Lett"],"published-print":{"date-parts":[[2021,7]]},"DOI":"10.1007\/s11590-019-01510-0","type":"journal-article","created":{"date-parts":[[2019,11,23]],"date-time":"2019-11-23T10:02:31Z","timestamp":1574503351000},"page":"1509-1535","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":8,"title":["Inventory replenishment decisions model for the supplier selection problem facing low perfect rate situations"],"prefix":"10.1007","volume":"15","author":[{"given":"Avelina","family":"Alejo-Reyes","sequence":"first","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0001-8496-4779","authenticated-orcid":false,"given":"Abraham","family":"Mendoza","sequence":"additional","affiliation":[]},{"given":"Elias","family":"Olivares-Benitez","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2019,11,23]]},"reference":[{"key":"1510_CR1","doi-asserted-by":"crossref","first-page":"415","DOI":"10.1016\/j.proeng.2015.10.068","volume":"123","author":"G Polat","year":"2015","unstructured":"Polat, G., Eray, E.: An integrated approach using AHP-ER to supplier selection in railway projects. Procedia Eng. 123, 415\u2013422 (2015)","journal-title":"Procedia Eng."},{"key":"1510_CR2","doi-asserted-by":"crossref","first-page":"3826","DOI":"10.1016\/j.apm.2011.11.025","volume":"36","author":"A Mendoza","year":"2012","unstructured":"Mendoza, A., Ventura, J.A.: Analytical models for supplier selection and order quantity allocation. Appl. Math. Model. 36, 3826\u20133835 (2012)","journal-title":"Appl. Math. Model."},{"key":"1510_CR3","volume-title":"Purchasing and Supply Chain Management","author":"RM Monczka","year":"2005","unstructured":"Monczka, R.M., Trent, R., Handfield, R.B.: Purchasing and Supply Chain Management. Thomson, Mason (2005)"},{"issue":"5","key":"1510_CR4","doi-asserted-by":"crossref","first-page":"9557","DOI":"10.1016\/j.eswa.2008.07.053","volume":"36","author":"D Zhang","year":"2009","unstructured":"Zhang, D., Zhang, J., Lai, K., Lu, Y.: An novel approach to supplier selection based on vague sets group decision. Expert Syst. Appl. 36(5), 9557\u20139563 (2009)","journal-title":"Expert Syst. Appl."},{"key":"1510_CR5","volume-title":"Purchasing and Supply Chain Management: Analysis, Strategy, Planning and Practice","author":"AJ Van Weele","year":"2005","unstructured":"Van Weele, A.J.: Purchasing and Supply Chain Management: Analysis, Strategy, Planning and Practice. Thomson Learning, London (2005)"},{"issue":"3","key":"1510_CR6","doi-asserted-by":"crossref","first-page":"2741","DOI":"10.1016\/j.eswa.2010.08.064","volume":"38","author":"M Zeydan","year":"2011","unstructured":"Zeydan, M., \u00c7olpan, C., \u00c7obano\u0123lu, C.: A combined methodology for supplier selection and performance evaluation. Expert Syst. Appl. 38(3), 2741\u20132751 (2011)","journal-title":"Expert Syst. Appl."},{"issue":"2","key":"1510_CR7","doi-asserted-by":"crossref","first-page":"75","DOI":"10.1016\/S0969-7012(00)00028-9","volume":"7","author":"L De Boer","year":"2011","unstructured":"De Boer, L., Labro, E., Morlacchi, P.: A review of methods supporting supplier selection. Eur. J. Purch. Supply Manag. 7(2), 75\u201389 (2011)","journal-title":"Eur. J. Purch. Supply Manag."},{"issue":"1","key":"1510_CR8","doi-asserted-by":"crossref","first-page":"5","DOI":"10.1007\/s12351-011-0109-3","volume":"13","author":"A Mendoza","year":"2013","unstructured":"Mendoza, A., Ventura, J.A.: Modeling actual transportation costs in supplier selection and order quantity allocation decisions. Oper. Res. Int J. 13(1), 5\u201325 (2013)","journal-title":"Oper. Res. Int J."},{"issue":"7","key":"1510_CR9","doi-asserted-by":"crossref","first-page":"413","DOI":"10.1287\/mnsc.16.7.413","volume":"16","author":"WJ Baumol","year":"1970","unstructured":"Baumol, W.J., Vinod, H.D.: An inventory-theoretic model of freight transport demand. Manag. Sci. 16(7), 413\u2013421 (1970)","journal-title":"Manag. Sci."},{"issue":"2","key":"1510_CR10","first-page":"181","volume":"10","author":"C Das","year":"1974","unstructured":"Das, C.: Choice of transport service: an inventory theoretic approach. Logist. Transp. Rev. 10(2), 181\u2013187 (1974)","journal-title":"Logist. Transp. Rev."},{"issue":"2","key":"1510_CR11","first-page":"83","volume":"17","author":"FP Buffa","year":"1977","unstructured":"Buffa, F.P., Reynolds, J.I.: The inventory-transport model with sensitivity analysis by indifference curves. Transp. J. 17(2), 83\u201390 (1977)","journal-title":"Transp. J."},{"issue":"1","key":"1510_CR12","first-page":"106","volume":"2","author":"CJ Langley","year":"1980","unstructured":"Langley, C.J.: The inclusion of transportation costs in inventory models: some considerations. J. Bus. Logist. 2(1), 106\u2013125 (1980)","journal-title":"J. Bus. Logist."},{"issue":"3","key":"1510_CR13","first-page":"58","volume":"37","author":"JR Carter","year":"1996","unstructured":"Carter, J.R., Ferrin, B.G.: Transportation costs and inventory management: why transportation costs matter. Prod. Inventory Manag. J. 37(3), 58\u201362 (1996)","journal-title":"Prod. Inventory Manag. J."},{"issue":"2","key":"1510_CR14","first-page":"43","volume":"28","author":"PD Larson","year":"1988","unstructured":"Larson, P.D.: The economic transportation quantity. Transp. J. 28(2), 43\u201348 (1988)","journal-title":"Transp. J."},{"issue":"7","key":"1510_CR15","doi-asserted-by":"crossref","first-page":"28","DOI":"10.1108\/EUM0000000000396","volume":"21","author":"JE Tyworth","year":"1991","unstructured":"Tyworth, J.E.: Transport selection: computer modeling in a spreadsheet environment. Int. J. Phys. Distrib. Logist. Manag. 21(7), 28\u201336 (1991)","journal-title":"Int. J. Phys. Distrib. Logist. Manag."},{"issue":"1","key":"1510_CR16","doi-asserted-by":"crossref","first-page":"73","DOI":"10.1016\/0305-0548(90)90029-7","volume":"17","author":"H Hwang","year":"1990","unstructured":"Hwang, H., Hee Moon, D., Whan Shinn, S.: An EOQ model with quantity discounts for both purchasing price and freight cost. Comput. Oper. Res. 17(1), 73\u201378 (1990)","journal-title":"Comput. Oper. Res."},{"issue":"4","key":"1510_CR17","doi-asserted-by":"crossref","first-page":"397","DOI":"10.1016\/0360-8352(92)90015-C","volume":"22","author":"OK Gupta","year":"1992","unstructured":"Gupta, O.K.: A lot-size model with discrete transportation costs. Comput. Ind. Eng. 22(4), 397\u2013402 (1992)","journal-title":"Comput. Ind. Eng."},{"issue":"2","key":"1510_CR18","doi-asserted-by":"crossref","first-page":"141","DOI":"10.1016\/S0925-5273(96)00085-0","volume":"48","author":"TH Burwell","year":"1997","unstructured":"Burwell, T.H., Dave, D.S., Fitzpatrick, K.E., Roy, M.R.: Economic lot size model for price-dependent demand under quantity and freight discounts. Int. J. Prod. Econ. 48(2), 141\u2013155 (1997)","journal-title":"Int. J. Prod. Econ."},{"issue":"2","key":"1510_CR19","doi-asserted-by":"crossref","first-page":"576","DOI":"10.1016\/j.ejor.2007.01.042","volume":"186","author":"BQ Rieksts","year":"2008","unstructured":"Rieksts, B.Q., Ventura, J.A.: Optimal inventory policies with two modes of freight transportation. Eur. J. Oper. Res. 186(2), 576\u2013585 (2008)","journal-title":"Eur. J. Oper. Res."},{"issue":"12","key":"1510_CR20","doi-asserted-by":"crossref","first-page":"3902","DOI":"10.1016\/j.cor.2007.05.001","volume":"35","author":"MA Darwish","year":"2008","unstructured":"Darwish, M.A.: Joint determination of order quantity and reorder point of continuous review model under quantity and freight rate discounts. Comput. Oper. Res. 35(12), 3902\u20133917 (2008)","journal-title":"Comput. Oper. Res."},{"key":"1510_CR21","first-page":"22-1","volume-title":"Operations Research and Management Science Handbook","author":"PD Warsing","year":"2008","unstructured":"Warsing, P.D.: Supply chain management. In: Ravindran, A. (ed.) Operations Research and Management Science Handbook, pp. 22-1\u201322-59. CRC Press, Boca Raton (2008)"},{"issue":"1","key":"1510_CR22","first-page":"213","volume":"17","author":"SR Swenseth","year":"1996","unstructured":"Swenseth, S.R., Godfrey, M.R.: Estimating freight rates for logistics decisions. J. Bus. Logist. 17(1), 213\u2013232 (1996)","journal-title":"J. Bus. Logist."},{"issue":"2","key":"1510_CR23","doi-asserted-by":"crossref","first-page":"89","DOI":"10.1016\/S0965-8564(97)00020-7","volume":"32","author":"JE Tyworth","year":"1998","unstructured":"Tyworth, J.E., Zeng, A.Z.: Estimating the effects of carrier transit-time performance on logistics cost and service. Transp. Res. Part A Policy Pract. 32(2), 89\u201397 (1998)","journal-title":"Transp. Res. Part A Policy Pract."},{"issue":"2","key":"1510_CR24","doi-asserted-by":"crossref","first-page":"128","DOI":"10.1108\/09600030010318847","volume":"30","author":"JE Tyworth","year":"2000","unstructured":"Tyworth, J.E., Ruiz-Torres, A.: Transportation\u2019s role in the sole- versus dual-sourcing decision. Int. J. Phys. Distrib. Logist. Manag. 30(2), 128\u2013144 (2000)","journal-title":"Int. J. Phys. Distrib. Logist. Manag."},{"issue":"2","key":"1510_CR25","doi-asserted-by":"crossref","first-page":"113","DOI":"10.1016\/S0925-5273(01)00230-4","volume":"77","author":"SR Swenseth","year":"2002","unstructured":"Swenseth, S.R., Godfrey, M.R.: Incorporating transportation costs into inventory replenishment decisions. Int. J. Prod. Econ. 77(2), 113\u2013130 (2002)","journal-title":"Int. J. Prod. Econ."},{"issue":"3\u20134","key":"1510_CR26","doi-asserted-by":"crossref","first-page":"185","DOI":"10.1007\/s12159-009-0018-5","volume":"1","author":"A Mendoza","year":"2009","unstructured":"Mendoza, A., Ventura, J.A.: Estimating freight rates in inventory replenishment and supplier selection decisions. Logist. Res. 1(3\u20134), 185\u2013196 (2009)","journal-title":"Logist. Res."},{"key":"1510_CR27","doi-asserted-by":"crossref","first-page":"813","DOI":"10.1111\/itor.12152","volume":"23","author":"Z Zhang","year":"2016","unstructured":"Zhang, Z., Yan, X., Li, S.: Analysis of a dynamic lot-sizing problem with production capacity constraint. Int. Trans. Oper. Res. 23, 813\u2013833 (2016)","journal-title":"Int. Trans. Oper. Res."},{"key":"1510_CR28","doi-asserted-by":"crossref","first-page":"367","DOI":"10.1007\/s10696-016-9240-z","volume":"28","author":"Y Bouchery","year":"2016","unstructured":"Bouchery, Y., Ghaffari, A., Jemai, Z.: Sustainable transportation and order quantity: insights from multiobjective optimization. Flex. Serv. Manuf. J. 28, 367\u2013396 (2016)","journal-title":"Flex. Serv. Manuf. J."},{"key":"1510_CR29","doi-asserted-by":"crossref","first-page":"15","DOI":"10.1016\/S0925-5273(01)00093-7","volume":"73","author":"SH Ghodsypour","year":"2001","unstructured":"Ghodsypour, S.H., O\u2019Brien, C.: The total cost of logistics in supplier selection, under conditions of multiple sourcing, multiple criteria and capacity constraint. Int. J. Prod. Econ. 73, 15\u201327 (2001)","journal-title":"Int. J. Prod. Econ."},{"key":"1510_CR30","doi-asserted-by":"crossref","first-page":"574","DOI":"10.1016\/j.ijpe.2012.09.013","volume":"141","author":"A Ekici","year":"2013","unstructured":"Ekici, A.: An improved model for supplier selection under capacity constraint and multiple criteria. Int. J. Prod. Econ. 141, 574\u2013581 (2013)","journal-title":"Int. J. Prod. Econ."},{"issue":"1","key":"1510_CR31","doi-asserted-by":"crossref","first-page":"612","DOI":"10.1016\/j.apm.2015.06.008","volume":"40","author":"S Pazhani","year":"2016","unstructured":"Pazhani, S., Ventura, J.A., Mendoza, A.: A serial inventory system with supplier selection and order quantity allocation considering transportation costs. Appl. Math. Model. 40(1), 612\u2013634 (2016)","journal-title":"Appl. Math. Model."},{"issue":"2","key":"1510_CR32","doi-asserted-by":"crossref","first-page":"301","DOI":"10.1007\/s10479-015-1941-2","volume":"258","author":"JL Andrade-Pineda","year":"2017","unstructured":"Andrade-Pineda, J.L., Canca, D., Gonzalez-R, P.L.: On modelling non-linear quantity discounts in a supplier selection problem by mixed linear integer optimization. Ann. Oper. Res. 258(2), 301\u2013346 (2017)","journal-title":"Ann. Oper. Res."},{"issue":"4","key":"1510_CR33","doi-asserted-by":"crossref","first-page":"1065","DOI":"10.1080\/00207543.2016.1218564","volume":"55","author":"H Kang","year":"2017","unstructured":"Kang, H., Lee, A.H.I., Wu, C., Lee, C.: An efficient method for dynamic-demand joint replenishment problem with multiple suppliers and multiple vehicles. Int. J. Prod. Res. 55(4), 1065\u20131084 (2017)","journal-title":"Int. J. Prod. Res."},{"key":"1510_CR34","doi-asserted-by":"crossref","first-page":"132","DOI":"10.1016\/j.ijpe.2017.09.013","volume":"195","author":"D Soto","year":"2018","unstructured":"Soto, D., Vidal, J., Vitor, E., Nunes, R.: A decision on the truckload and less-than-truckload problem: an approach based on MCDA. Int. J. Prod. Econ. 195, 132\u2013145 (2018)","journal-title":"Int. J. Prod. Econ."},{"key":"1510_CR35","doi-asserted-by":"crossref","first-page":"89","DOI":"10.1016\/B978-0-12-410400-6.00005-7","volume-title":"Modelling Freight Transport","author":"F Combes","year":"2014","unstructured":"Combes, F.: Inventory theory and freight transport modelling. In: Tavasszy, L., de Jong, G. (eds.) Modelling Freight Transport, pp. 89\u2013115. Elsevier, London (2014)"},{"issue":"5","key":"1510_CR36","doi-asserted-by":"crossref","first-page":"599","DOI":"10.1080\/01441647.2015.1038741","volume":"35","author":"RJ Basu","year":"2015","unstructured":"Basu, R.J., Subramanian, N., Cheikhrouhou, N.: Review of full truckload transportation service procurement. Transp. Rev. 35(5), 599\u2013621 (2015)","journal-title":"Transp. Rev."},{"issue":"1","key":"1510_CR37","doi-asserted-by":"crossref","first-page":"3","DOI":"10.1016\/j.cstp.2015.12.002","volume":"4","author":"H Meersman","year":"2016","unstructured":"Meersman, H., Charlotte, V., Bruckmann, D., Chen, M., Francke, J., Hill, P., Jackson, C., Klauenberg, J., Kurowski, M., Seidel, S., Vierth, I.: Challenges and future research needs towards international freight transport modelling. Case Stud. Transp. Policy 4(1), 3\u20138 (2016)","journal-title":"Case Stud. Transp. Policy"},{"issue":"1","key":"1510_CR38","doi-asserted-by":"crossref","first-page":"9","DOI":"10.1016\/j.cstp.2015.08.003","volume":"4","author":"O Ottem\u00f6ller","year":"2016","unstructured":"Ottem\u00f6ller, O., Friedrich, H.: Opportunities of sectoral freight transport demand modelling. Case Stud. Transp. Policy 4(1), 9\u201312 (2016)","journal-title":"Case Stud. Transp. Policy"},{"key":"1510_CR39","doi-asserted-by":"crossref","first-page":"214","DOI":"10.1016\/j.envsoft.2016.02.008","volume":"79","author":"F Pianosi","year":"2016","unstructured":"Pianosi, F., Beven, K., Freer, J., Hall, J.W., Rougier, J., Stephenson, D.B., Wagener, T.: Sensitivity analysis of environmental models: a systematic review with practical workflow. Environ. Model Softw. 79, 214\u2013232 (2016)","journal-title":"Environ. Model Softw."},{"key":"1510_CR40","doi-asserted-by":"crossref","first-page":"25","DOI":"10.1016\/j.jmsy.2018.11.001","volume":"50","author":"E Yadollahia","year":"2019","unstructured":"Yadollahia, E., Aghezzafb, E.L., Walraevensa, J., Raab, B., Claeysa, D.: Evaluating approximate solution models for the stochastic periodic inventory routing problem. J. Manuf. Syst. 50, 25\u201335 (2019)","journal-title":"J. Manuf. Syst."},{"issue":"8","key":"1510_CR41","doi-asserted-by":"crossref","first-page":"e0201604","DOI":"10.1371\/journal.pone.0201604","volume":"13","author":"A Forghani","year":"2018","unstructured":"Forghani, A., Sadjadi, S.J., Moghadam, B.F.: A supplier selection model in pharmaceutical supply chain using PCA, Z-TOPSIS and MILP: a case study. PLoS ONE 13(8), e0201604 (2018)","journal-title":"PLoS ONE"},{"key":"1510_CR42","doi-asserted-by":"crossref","first-page":"25","DOI":"10.1155\/2018\/8731027","volume":"2018","author":"DA Olivares Vera","year":"2018","unstructured":"Olivares Vera, D.A., Olivares-Benitez, E., Puente Rivera, E., L\u00f3pez-Campos, M., Miranda, P.A.: Combined use of mathematical optimization and design of experiments for the maximization of profit in a four-echelon supply chain. Complexity 2018, 25 (2018)","journal-title":"Complexity"},{"key":"1510_CR43","volume-title":"Logistical Management: The Integrated Supply Chain Process","author":"DJ Bowersox","year":"1996","unstructured":"Bowersox, D.J., Closs, D.J.: Logistical Management: The Integrated Supply Chain Process. McGraw-Hill, New York (1996)"},{"issue":"6","key":"1510_CR44","doi-asserted-by":"crossref","first-page":"904","DOI":"10.1287\/opre.45.6.904","volume":"45","author":"U Gurler","year":"1997","unstructured":"Gurler, U., Parlar, M.: An inventory problem with two randomly available suppliers. Oper. Res. 45(6), 904\u2013918 (1997)","journal-title":"Oper. Res."},{"key":"1510_CR45","doi-asserted-by":"crossref","first-page":"92","DOI":"10.1016\/j.ejpb.2018.02.017","volume":"127","author":"F Stauffer","year":"2018","unstructured":"Stauffer, F., Vanhoorne, V., Pilcer, G., Chavez, P.-F., Rome, S., Schubert, M.A., Aerts, L., De Beer, T.: Raw material variability of an active pharmaceutical ingredient and its relevance for processability in secondary continuous pharmaceutical manufacturing. Eur. J. Pharm. Biopharm. 127, 92\u2013103 (2018)","journal-title":"Eur. J. Pharm. Biopharm."},{"issue":"7","key":"1510_CR46","doi-asserted-by":"crossref","first-page":"503","DOI":"10.1108\/09600030510615824","volume":"35","author":"S Gary Teng","year":"2005","unstructured":"Gary Teng, S., Jaramillo, H.: A model for evaluation and selection of suppliers in global textile and apparel supply chains. Int. J. Phys. Distrib. Logist. Manag. 35(7), 503\u2013523 (2005)","journal-title":"Int. J. Phys. Distrib. Logist. Manag."}],"container-title":["Optimization Letters"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s11590-019-01510-0.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s11590-019-01510-0\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s11590-019-01510-0.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,6,18]],"date-time":"2021-06-18T18:10:39Z","timestamp":1624039839000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s11590-019-01510-0"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2019,11,23]]},"references-count":46,"journal-issue":{"issue":"5","published-print":{"date-parts":[[2021,7]]}},"alternative-id":["1510"],"URL":"https:\/\/doi.org\/10.1007\/s11590-019-01510-0","relation":{},"ISSN":["1862-4472","1862-4480"],"issn-type":[{"value":"1862-4472","type":"print"},{"value":"1862-4480","type":"electronic"}],"subject":[],"published":{"date-parts":[[2019,11,23]]},"assertion":[{"value":"11 March 2019","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"18 November 2019","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"23 November 2019","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}