{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,7,26]],"date-time":"2026-07-26T02:17:08Z","timestamp":1785032228252,"version":"3.55.0"},"reference-count":75,"publisher":"Springer Science and Business Media LLC","issue":"5","license":[{"start":{"date-parts":[[2022,12,30]],"date-time":"2022-12-30T00:00:00Z","timestamp":1672358400000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2022,12,30]],"date-time":"2022-12-30T00:00:00Z","timestamp":1672358400000},"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":[[2023,3]]},"DOI":"10.1007\/s00500-022-07769-3","type":"journal-article","created":{"date-parts":[[2022,12,30]],"date-time":"2022-12-30T15:41:42Z","timestamp":1672414902000},"page":"2385-2402","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":17,"title":["Inventory system with generalized triangular neutrosophic cost pattern incorporating maximum life-time-based deterioration and novel demand through PSO"],"prefix":"10.1007","volume":"27","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-3207-076X","authenticated-orcid":false,"given":"G. Durga","family":"Bhavani","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-5225-0445","authenticated-orcid":false,"given":"G. S.","family":"Mahapatra","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"297","published-online":{"date-parts":[[2022,12,30]]},"reference":[{"issue":"5","key":"7769_CR1","doi-asserted-by":"crossref","first-page":"658","DOI":"10.1057\/jors.1995.90","volume":"46","author":"SP Aggarwal","year":"1995","unstructured":"Aggarwal SP, Jaggi CK (1995) Ordering policies of deteriorating items under permissible delay in payments. J Oper Res Soc 46(5):658\u2013662","journal-title":"J Oper Res Soc"},{"key":"7769_CR2","doi-asserted-by":"publisher","unstructured":"Ahmad B, Benkherouf L (2019) On an optimal replenishment policy for inventory models for non-instantaneous deteriorating items and permissible delay in payments: revisited, Int J Syst Sci Oper Logis 8(2):132\u2013135. https:\/\/doi.org\/10.1080\/23302674.2019.1656785","DOI":"10.1080\/23302674.2019.1656785"},{"issue":"1","key":"7769_CR3","first-page":"22","volume":"17","author":"MA Al Masud","year":"2014","unstructured":"Al Masud MA, Paul SK, Azeem A (2014) Optimisation of a production inventory model with reliability considerations. Int J Logis Syst Manag 17(1):22\u201345","journal-title":"Int J Logis Syst Manag"},{"key":"7769_CR4","doi-asserted-by":"publisher","unstructured":"Al-Amin Khan M, Shaikh AA, Konstantaras I, Bhunia AK, Cardenas-Barron LE (2020) Inventory models for perishable items with advanced payment, linearly time-dependent holding cost and demand dependent on advertisement and selling price, Int J Prod Econom . https:\/\/doi.org\/10.1016\/j.ijpe.2020.107804","DOI":"10.1016\/j.ijpe.2020.107804"},{"issue":"3","key":"7769_CR5","doi-asserted-by":"crossref","first-page":"2016","DOI":"10.3934\/mbe.2020107","volume":"17","author":"A Alejo-Reyes","year":"2020","unstructured":"Alejo-Reyes A, Olivares-Benitez E, Mendoza A, Rodriguez A (2020) Inventory replenishment decision model for the supplier selection problem using metaheuristic algorithms. Math Biosci Eng 17(3):2016\u20132036","journal-title":"Math Biosci Eng"},{"issue":"4","key":"7769_CR6","doi-asserted-by":"crossref","first-page":"1037","DOI":"10.1108\/JM2-02-2018-0027","volume":"13","author":"H AL-Khazraji","year":"2018","unstructured":"AL-Khazraji H, Cole C, Guo W (2018) Multi-objective particle swarm optimisation approach for production-inventory control systems. J Modell Manag 13(4):1037\u20131056","journal-title":"J Modell Manag"},{"key":"7769_CR7","doi-asserted-by":"crossref","first-page":"3725","DOI":"10.1007\/s00500-020-05402-9","volume":"25","author":"AM Bappa Mondal","year":"2021","unstructured":"Bappa Mondal AM, Garai Arindam, Majumder SK (2021) Inventory policies for seasonal items with logistic-growth demand rate under fully permissible delay in payment: a neutrosophic optimization approach. Soft Comput 25:3725\u20133750","journal-title":"Soft Comput"},{"issue":"2","key":"7769_CR8","doi-asserted-by":"crossref","first-page":"347","DOI":"10.1007\/s12351-017-0302-0","volume":"19","author":"S Bardhan","year":"2019","unstructured":"Bardhan S, Pal H, Giri BC (2019) Optimal replenishment policy and preservation technology investment for a non-instantaneous deteriorating item with stock-dependent demand. Oper Res Int Journal 19(2):347\u2013368","journal-title":"Oper Res Int Journal"},{"key":"7769_CR9","doi-asserted-by":"crossref","first-page":"1913","DOI":"10.3934\/jimo.2020052","volume":"17","author":"H Barman","year":"2021","unstructured":"Barman H, Pervin M, Roy SK, Weber G-W (2021) Back-ordered inventory model with inflation in a cloudy-fuzzy environment. J Ind Manag Optim 17:1913\u20131941","journal-title":"J Ind Manag Optim"},{"issue":"1","key":"7769_CR10","doi-asserted-by":"crossref","first-page":"261","DOI":"10.1007\/s12597-018-0349-6","volume":"56","author":"B Bhaula","year":"2019","unstructured":"Bhaula B, Dash JK, Rajendra Kumar M (2019) An optimal inventory model for perishable items under successive price discounts with permissible delay in payments. OPSEARCH 56(1):261\u2013281","journal-title":"OPSEARCH"},{"key":"7769_CR11","doi-asserted-by":"publisher","unstructured":"Bhavani GD, Georgise FB, Mahapatra G, Maneckshaw B (2022) Neutrosophic cost pattern of inventory system with novel demand incorporating deterioration and discount on defective items using particle swarm algorithm, Comput Intell Neurosci. https:\/\/doi.org\/10.1155\/2022\/7683417","DOI":"10.1155\/2022\/7683417"},{"key":"7769_CR12","doi-asserted-by":"publisher","unstructured":"Bhavani GD, Meidute-Kavaliauskiene I, Mahapatra GS, \u010cin\u010dikait\u0117 R (2022) A sustainable green inventory system with novel eco-friendly demand incorporating partial backlogging under fuzziness, Sustainability. https:\/\/doi.org\/10.3390\/su14159155","DOI":"10.3390\/su14159155"},{"key":"7769_CR13","doi-asserted-by":"publisher","unstructured":"Biuki M, Kazemi A, Alinezhad A (2020) An integrated location-routing-inventory model for sustainable design of a perishable products supply chain network, J Cleaner Prod, 260. https:\/\/doi.org\/10.1016\/j.jclepro.2020.120842","DOI":"10.1016\/j.jclepro.2020.120842"},{"key":"7769_CR14","first-page":"5232814","volume":"2021","author":"G Bonilla-Enriquez","year":"2021","unstructured":"Bonilla-Enriquez G, Cano-Olivos P, Peng L-Q, Gan W, Martinez-Flores J-L, Sanchez-Partida D (2021) Modelling sustainable development aspects within inventory supply strategies. Modell Simul Eng 2021:5232814","journal-title":"Modell Simul Eng"},{"key":"7769_CR15","doi-asserted-by":"crossref","first-page":"157","DOI":"10.1016\/j.cie.2018.06.022","volume":"123","author":"D Chakraborty","year":"2018","unstructured":"Chakraborty D, Jana DK, Roy TK (2018) Two-warehouse partial backlogging inventory model with ramp type demand rate, three-parameter Weibull distribution deterioration under inflation and permissible delay in payments. Comput Ind Eng 123:157\u2013179","journal-title":"Comput Ind Eng"},{"key":"7769_CR16","doi-asserted-by":"crossref","first-page":"445","DOI":"10.1007\/s10479-017-2511-6","volume":"271","author":"N Cheikhrouhou","year":"2018","unstructured":"Cheikhrouhou N, Sarkar B, Ganguly B, Malik AI, Batista R, Lee YH (2018) Optimization of sample size and order size in an inventory model with quality inspection and return of defective items. Ann Oper Res 271:445\u2013467","journal-title":"Ann Oper Res"},{"issue":"15","key":"7769_CR17","doi-asserted-by":"crossref","first-page":"4049","DOI":"10.1016\/j.apm.2013.11.056","volume":"38","author":"S-C Chen","year":"2014","unstructured":"Chen S-C, Teng J-T (2014) Retailer\u2019s optimal ordering policy for deteriorating items with maximum lifetime under supplier\u2019s trade credit financing. Appl Math Model 38(15):4049\u20134061","journal-title":"Appl Math Model"},{"key":"7769_CR18","first-page":"7067502","volume":"2020","author":"Y Chen","year":"2020","unstructured":"Chen Y, Liu L, Shi V, Zhang Y, Zhu J (2020) The optimization of a virtual dual Production-Inventory system under dynamic supply disruption risk. Complexity 2020:7067502","journal-title":"Complexity"},{"key":"7769_CR19","doi-asserted-by":"crossref","first-page":"302","DOI":"10.1016\/j.apm.2017.03.022","volume":"49","author":"N Dabiri","year":"2017","unstructured":"Dabiri N, Tarokh MJ, Alinaghian M (2017) New mathematical model for the bi-objective inventory routing problem with a step cost function: A multi-objective particle swarm optimization solution approach. Appl Math Model 49:302\u2013318","journal-title":"Appl Math Model"},{"issue":"1","key":"7769_CR20","doi-asserted-by":"crossref","first-page":"46","DOI":"10.1007\/s12597-019-00404-0","volume":"57","author":"S Dari","year":"2020","unstructured":"Dari S, Sani B (2020) An epq model for delayed deteriorating items with quadratic demand and linear holding cost. Opsearch 57(1):46\u201372","journal-title":"Opsearch"},{"key":"7769_CR21","first-page":"142","volume":"35","author":"R Das","year":"2020","unstructured":"Das R, Tripathy BC (2020) Neutrosophic multiset topological space. Neutrosophic Sets Syst 35:142\u2013152","journal-title":"Neutrosophic Sets Syst"},{"key":"7769_CR22","doi-asserted-by":"crossref","first-page":"255","DOI":"10.1016\/j.cie.2017.05.025","volume":"110","author":"BC Das","year":"2017","unstructured":"Das BC, Das B, Mondal SK (2017) An integrated production-inventory model with defective item dependent stochastic credit period. Comput Ind Eng 110:255\u2013263","journal-title":"Comput Ind Eng"},{"key":"7769_CR23","doi-asserted-by":"publisher","unstructured":"De SK, Nayak PK, Khan A, Bhattacharya K, Smarandache F (2020) Solution of an epq model for imperfect production process under game and neutrosophic fuzzy approach, Appl Soft Comput J, 93. https:\/\/doi.org\/10.1016\/j.asoc.2020.106397","DOI":"10.1016\/j.asoc.2020.106397"},{"issue":"7","key":"7769_CR24","doi-asserted-by":"crossref","first-page":"1862","DOI":"10.1080\/00207543.2016.1178408","volume":"55","author":"M Dotoli","year":"2017","unstructured":"Dotoli M, Epicoco N, Falagario M (2017) A fuzzy technique for supply chain network design with quantity discounts. Int J Prod Res 55(7):1862\u20131884","journal-title":"Int J Prod Res"},{"issue":"1","key":"7769_CR25","doi-asserted-by":"crossref","first-page":"55","DOI":"10.1007\/s12597-013-0166-x","volume":"52","author":"K Dutta Choudhury","year":"2015","unstructured":"Dutta Choudhury K, Karmakar B, Das M, Datta TK (2015) An inventory model for deteriorating items with stock-dependent demand, time-varying holding cost and shortages. OPSEARCH 52(1):55\u201374","journal-title":"OPSEARCH"},{"issue":"10","key":"7769_CR26","doi-asserted-by":"crossref","first-page":"2492","DOI":"10.1016\/j.cam.2009.10.031","volume":"233","author":"KV Geetha","year":"2010","unstructured":"Geetha KV, Uthayakumar R (2010) Economic design of an inventory policy for non-instantaneous deteriorating items under permissible delay in payments. J Comput Appl Math 233(10):2492\u20132505","journal-title":"J Comput Appl Math"},{"issue":"2","key":"7769_CR27","doi-asserted-by":"crossref","first-page":"911","DOI":"10.1016\/j.ejor.2005.08.017","volume":"176","author":"Y-F Huang","year":"2007","unstructured":"Huang Y-F (2007) Economic order quantity under conditionally permissible delay in payments. Eur J Oper Res 176(2):911\u2013924","journal-title":"Eur J Oper Res"},{"issue":"21\u201322","key":"7769_CR28","doi-asserted-by":"crossref","first-page":"5315","DOI":"10.1016\/j.apm.2014.04.025","volume":"38","author":"CK Jaggi","year":"2014","unstructured":"Jaggi CK, Pareek S, Khanna A, Sharma R (2014) Credit financing in a two-warehouse environment for deteriorating items with price-sensitive demand and fully backlogged shortages. Appl Math Model 38(21\u201322):5315\u20135333","journal-title":"Appl Math Model"},{"key":"7769_CR29","doi-asserted-by":"crossref","first-page":"651","DOI":"10.1016\/j.apm.2020.11.025","volume":"92","author":"G Karakatsoulis","year":"2021","unstructured":"Karakatsoulis G, Skouri K (2021) Optimal reorder level and lot size decisions for an inventory system with defective items. Appl Math Model 92:651\u2013668","journal-title":"Appl Math Model"},{"key":"7769_CR30","doi-asserted-by":"crossref","unstructured":"Kennedy J, Eberhart R (1995) Particle swarm optimization 4: 1942\u20131948","DOI":"10.1109\/ICNN.1995.488968"},{"issue":"3","key":"7769_CR31","doi-asserted-by":"crossref","first-page":"1343","DOI":"10.1111\/itor.12733","volume":"27","author":"MA-A Khan","year":"2020","unstructured":"Khan MA-A, Shaikh AA, Panda GC, Konstantaras I, Cardenas-Barron LE (2020) The effect of advance payment with discount facility on supply decisions of deteriorating products whose demand is both price and stock dependent. Int Trans Oper Res 27(3):1343\u20131367","journal-title":"Int Trans Oper Res"},{"issue":"1","key":"7769_CR32","first-page":"1","volume":"218","author":"S Khanra","year":"2011","unstructured":"Khanra S, Ghosh S, Chaudhuri K (2011) An EOQ model for a deteriorating item with time dependent quadratic demand under permissible delay in payment. Appl Math Comput 218(1):1\u20139","journal-title":"Appl Math Comput"},{"issue":"1","key":"7769_CR33","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1007\/s12597-012-0093-2","volume":"50","author":"UK Khedlekar","year":"2013","unstructured":"Khedlekar UK, Shukla D (2013) Dynamic pricing model with logarithmic demand. Opsearch 50(1):1\u201313","journal-title":"Opsearch"},{"key":"7769_CR34","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/j.swevo.2016.11.004","volume":"34","author":"A Kundu","year":"2017","unstructured":"Kundu A, Guchhait P, Pramanik P, Kumar Maiti M, Maiti M (2017) A production inventory model with price discounted fuzzy demand using an interval compared hybrid algorithm. Swarm Evolut Comput 34:1\u201317","journal-title":"Swarm Evolut Comput"},{"issue":"2","key":"7769_CR35","doi-asserted-by":"crossref","first-page":"207","DOI":"10.1016\/S0925-5273(99)00015-8","volume":"63","author":"H-C Liao","year":"2000","unstructured":"Liao H-C, Tsai C-H, Su C-T (2000) An inventory model with deteriorating items under inflation when a delay in payment is permissible. Int J Prod Econ 63(2):207\u2013214","journal-title":"Int J Prod Econ"},{"key":"7769_CR36","volume":"156","author":"F Lin","year":"2021","unstructured":"Lin F, Jia T, Fung RY, Wu P (2021) Impacts of inspection rate on integrated inventory models with defective items considering capacity utilization: Rework-versus delivery-priority. Comput Ind Eng 156:107245","journal-title":"Comput Ind Eng"},{"issue":"5\u20136","key":"7769_CR37","first-page":"409","volume":"19","author":"GS Mahapatra","year":"2012","unstructured":"Mahapatra GS, Mandal TK, Samanta GP (2012) An EPQ model with imprecise space constraint based on intuitionistic fuzzy optimization technique. J Multiple-Valued Logic Soft Comput 19(5\u20136):409\u2013423","journal-title":"J Multiple-Valued Logic Soft Comput"},{"issue":"6","key":"7769_CR38","doi-asserted-by":"crossref","first-page":"5731","DOI":"10.3233\/JIFS-181595","volume":"36","author":"GS Mahapatra","year":"2019","unstructured":"Mahapatra GS, Adak S, Kaladhar K (2019) A fuzzy inventory model with three parameter Weibull deterioration with reliant holding cost and demand incorporating reliability. J Intell Fuzzy Syst 36(6):5731\u20135744","journal-title":"J Intell Fuzzy Syst"},{"issue":"12","key":"7769_CR39","doi-asserted-by":"crossref","first-page":"3640","DOI":"10.1080\/00207543.2015.1120903","volume":"54","author":"RP Manatkar","year":"2016","unstructured":"Manatkar RP, Karthik K, Kumar SK, Tiwari MK (2016) An integrated inventory optimization model for facility location-allocation problem. Int J Prod Res 54(12):3640\u20133658","journal-title":"Int J Prod Res"},{"key":"7769_CR40","first-page":"24","volume":"19","author":"M Mullai","year":"2018","unstructured":"Mullai M, Surya R (2018) Neutrosophic EOQ model with price break. Neutrosoph Sets Syst 19:24\u201328","journal-title":"Neutrosoph Sets Syst"},{"issue":"1","key":"7769_CR41","doi-asserted-by":"crossref","first-page":"89","DOI":"10.1007\/s12351-017-0318-5","volume":"20","author":"M Nagare","year":"2020","unstructured":"Nagare M, Dutta P, Suryawanshi P (2020) Optimal procurement and discount pricing for single-period non-instantaneous deteriorating products with promotional efforts. Oper Res Int J 20(1):89\u2013117","journal-title":"Oper Res Int J"},{"key":"7769_CR42","doi-asserted-by":"crossref","first-page":"159","DOI":"10.1016\/j.ijpe.2014.05.007","volume":"156","author":"S Pal","year":"2014","unstructured":"Pal S, Mahapatra GS, Samanta GP (2014) An EPQ model of ramp type demand with Weibull deterioration under inflation and finite horizon in crisp and fuzzy environment. Int J Prod Econ 156:159\u2013166","journal-title":"Int J Prod Econ"},{"key":"7769_CR43","doi-asserted-by":"crossref","first-page":"334","DOI":"10.1016\/j.econmod.2014.12.031","volume":"46","author":"S Pal","year":"2015","unstructured":"Pal S, Mahapatra GS, Samanta GP (2015) A production inventory model for deteriorating item with ramp type demand allowing inflation and shortages under fuzziness. Econ Model 46:334\u2013345","journal-title":"Econ Model"},{"issue":"2","key":"7769_CR44","doi-asserted-by":"crossref","first-page":"149","DOI":"10.1007\/s12597-012-0102-5","volume":"50","author":"S Pathak","year":"2013","unstructured":"Pathak S, Kar S, Sarkar S (2013) Fuzzy production inventory model for deteriorating items with shortages under the effect of time dependent learning and forgetting: A possibility \/ necessity approach. Opsearch 50(2):149\u2013181","journal-title":"Opsearch"},{"issue":"17","key":"7769_CR45","doi-asserted-by":"crossref","first-page":"5836","DOI":"10.1080\/00207543.2018.1478149","volume":"56","author":"K Patne","year":"2018","unstructured":"Patne K, Shukla N, Kiridena S, Tiwari MK (2018) Solving closed-loop supply chain problems using game theoretic particle swarm optimisation. Int J Prod Res 56(17):5836\u20135853","journal-title":"Int J Prod Res"},{"issue":"5","key":"7769_CR46","doi-asserted-by":"crossref","first-page":"1","DOI":"10.3934\/jimo.2018098","volume":"13","author":"M Pervin","year":"2017","unstructured":"Pervin M, Roy SK, Weber GW (2017) Multi-item deteriorating two-echelon inventory model with price- and stock-dependent demand: A trade-credit policy. J Ind Manag Optim 13(5):1\u201329","journal-title":"J Ind Manag Optim"},{"issue":"1\u20132","key":"7769_CR47","doi-asserted-by":"crossref","first-page":"437","DOI":"10.1007\/s10479-016-2355-5","volume":"260","author":"M Pervin","year":"2018","unstructured":"Pervin M, Roy SK, Weber G-W (2018) Analysis of inventory control model with shortage under time-dependent demand and time-varying holding cost including stochastic deterioration. Ann Oper Res 260(1\u20132):437\u2013460","journal-title":"Ann Oper Res"},{"issue":"3","key":"7769_CR48","doi-asserted-by":"crossref","first-page":"1345","DOI":"10.3934\/jimo.2018098","volume":"15","author":"M Pervin","year":"2019","unstructured":"Pervin M, Roy SK, Weber GW (2019) Multi-item deteriorating two-echelon inventory model with price- and stock-dependent demand: A trade-credit policy. J Ind Manag Optim 15(3):1345\u20131373","journal-title":"J Ind Manag Optim"},{"key":"7769_CR49","doi-asserted-by":"crossref","first-page":"1585","DOI":"10.3934\/jimo.2019019","volume":"16","author":"M Pervin","year":"2020","unstructured":"Pervin M, Roy SK, Weber GW (2020) Deteriorating inventory with preservation technology under price- and stock-sensitive demand. J Ind Manag Optim 16:1585\u20131612","journal-title":"J Ind Manag Optim"},{"key":"7769_CR50","doi-asserted-by":"crossref","unstructured":"Pervin M, Roy SK, Weber GW (2020) An integrated vendor-buyer model with quadratic demand under inspection policy and preservation technology, Hacettepe J Math Stat, pp\u00a01168 \u2013 1189","DOI":"10.15672\/hujms.476056"},{"issue":"17","key":"7769_CR51","doi-asserted-by":"crossref","first-page":"5011","DOI":"10.1016\/j.apm.2015.03.047","volume":"39","author":"M Pirayesh","year":"2015","unstructured":"Pirayesh M, Poormoaied S (2015) GPSO-ls algorithm for a multi-item EPQ model with production capacity restriction. Appl Math Model 39(17):5011\u20135032","journal-title":"Appl Math Model"},{"issue":"1\u20132","key":"7769_CR52","doi-asserted-by":"crossref","first-page":"323","DOI":"10.1007\/s10479-014-1759-3","volume":"243","author":"K Prasad","year":"2016","unstructured":"Prasad K, Mukherjee B (2016) Optimal inventory model under stock and time dependent demand for time varying deterioration rate with shortages. Ann Oper Res 243(1\u20132):323\u2013334","journal-title":"Ann Oper Res"},{"issue":"1","key":"7769_CR53","doi-asserted-by":"crossref","first-page":"91","DOI":"10.1007\/s12597-019-00361-8","volume":"56","author":"S Rani","year":"2019","unstructured":"Rani S, Ali R, Agarwal A (2019) Fuzzy inventory model for deteriorating items in a green supply chain with carbon concerned demand. Opsearch 56(1):91\u2013122","journal-title":"Opsearch"},{"key":"7769_CR54","doi-asserted-by":"crossref","first-page":"51","DOI":"10.1016\/j.tre.2018.10.006","volume":"120","author":"H Rau","year":"2018","unstructured":"Rau H, Budiman SD, Widyadana GA (2018) Optimization of the multi-objective green cyclical inventory routing problem using discrete multi-swarm PSO method. Transp Res Part E Logis Transp Rev 120:51\u201375","journal-title":"Transp Res Part E Logis Transp Rev"},{"key":"7769_CR55","doi-asserted-by":"crossref","unstructured":"Roubens M (1990) Inequality constraints between fuzzy numbers and their use in mathematical programming, stochastic versus fuzzy approaches to multi-objective mathematical programming under uncertainty, In: Slowinski R, Teghem J (eds.) Kluwer Academic Publishers, Dordrecht, pp\u00a0321-330","DOI":"10.1007\/978-94-009-2111-5_16"},{"key":"7769_CR56","doi-asserted-by":"crossref","first-page":"553","DOI":"10.3934\/jimo.2018167","volume":"16","author":"SK Roy","year":"2020","unstructured":"Roy SK, Pervin M, Weber GW (2020) A two-warehouse probabilistic model with price discount on backorders under two levels of trade-credit policy. J Ind Manag Optim 16:553\u2013578","journal-title":"J Ind Manag Optim"},{"key":"7769_CR57","doi-asserted-by":"crossref","unstructured":"Sahoo AK, Indrajitsingha SK, Samanta PN, Misra UK (2019) Selling price dependent demand with allowable shortages model under partially backlogged-deteriorating items, Int J Appl Comput Math, 5(4):1\u201313","DOI":"10.1007\/s40819-019-0670-7"},{"key":"7769_CR58","doi-asserted-by":"crossref","first-page":"618","DOI":"10.1016\/j.apm.2017.01.082","volume":"46","author":"LA San-Jos\u00e9","year":"2017","unstructured":"San-Jos\u00e9 LA, Sicilia J, la Rosa MG-D, Febles-Acosta J (2017) Optimal inventory policy under power demand pattern and partial backlogging. Appl Math Model 46:618\u2013630","journal-title":"Appl Math Model"},{"issue":"2","key":"7769_CR59","first-page":"159","volume":"35","author":"SS Sanni","year":"2016","unstructured":"Sanni SS, Chukwu WIE (2016) An inventory model with three-parameter Weibull deterioration, quadratic demand rate and shortages. Am J Math Manag Sci 35(2):159\u2013170","journal-title":"Am J Math Manag Sci"},{"key":"7769_CR60","first-page":"650","volume":"237","author":"B Sarkar","year":"2014","unstructured":"Sarkar B, Gupta H, Chaudhuri K, Goyal SK (2014) An integrated inventory model with variable lead time, defective units and delay in payments. Appl Math Comput 237:650\u2013658","journal-title":"Appl Math Comput"},{"issue":"1","key":"7769_CR61","doi-asserted-by":"crossref","first-page":"677","DOI":"10.1007\/s10479-014-1745-9","volume":"229","author":"B Sarkar","year":"2015","unstructured":"Sarkar B, Saren S, Cardenas-Barron LE (2015) An inventory model with trade-credit policy and variable deterioration for fixed lifetime products. Ann Oper Res 229(1):677\u2013702","journal-title":"Ann Oper Res"},{"key":"7769_CR62","doi-asserted-by":"publisher","unstructured":"Sepehri A, Gholamian MR (2022) A green inventory model with imperfect items considering inspection process and quality improvement under different shortages scenarios, Environ Develop Sustain. https:\/\/doi.org\/10.1007\/s10668-022-02187-9","DOI":"10.1007\/s10668-022-02187-9"},{"issue":"2","key":"7769_CR63","first-page":"134","volume":"33","author":"S Shabani","year":"2016","unstructured":"Shabani S, Mirzazadeh A, Sharifi E (2016) A two-warehouse inventory model with fuzzy deterioration rate and fuzzy demand rate under conditionally permissible delay in payment. J Ind Prod Eng 33(2):134\u2013142","journal-title":"J Ind Prod Eng"},{"issue":"2","key":"7769_CR64","doi-asserted-by":"crossref","first-page":"325","DOI":"10.1142\/S0219686719500173","volume":"18","author":"A Shaikh","year":"2019","unstructured":"Shaikh A, Mishra P (2019) Optimal policies for price sensitive quadratic demand with preservation technology investment under inflationary environment. J Adv Manuf Syst 18(2):325\u2013337","journal-title":"J Adv Manuf Syst"},{"issue":"1","key":"7769_CR65","doi-asserted-by":"crossref","first-page":"73","DOI":"10.1007\/s10479-011-0984-2","volume":"191","author":"K Skouri","year":"2011","unstructured":"Skouri K, Konstantaras I, Manna SK, Chaudhuri KS (2011) Inventory models with ramp type demand rate, time dependent deterioration rate, unit production cost and shortages. Ann Oper Res 191(1):73\u201395","journal-title":"Ann Oper Res"},{"issue":"2","key":"7769_CR66","first-page":"177","volume":"22","author":"S Srinivasan","year":"2016","unstructured":"Srinivasan S, Sharma AK, Khan SH (2016) Modelling and optimization of defective goods supply chain network with heuristics. Int J Oper Quant Manag 22(2):177\u2013187","journal-title":"Int J Oper Quant Manag"},{"issue":"1","key":"7769_CR67","first-page":"100","volume":"10","author":"PR Tadikamalla","year":"1978","unstructured":"Tadikamalla PR (1978) An EOQ inventory model for items with gamma distributed deterioration. A I I E Trans 10(1):100\u2013103","journal-title":"A I I E Trans"},{"issue":"1","key":"7769_CR68","doi-asserted-by":"crossref","first-page":"97","DOI":"10.1016\/j.ejor.2011.05.056","volume":"215","author":"J-T Teng","year":"2011","unstructured":"Teng J-T, Krommyda I-P, Skouri K, Lou K-R (2011) A comprehensive extension of optimal ordering policy for stock-dependent demand under progressive payment scheme. Eur J Oper Res 215(1):97\u2013104","journal-title":"Eur J Oper Res"},{"key":"7769_CR69","doi-asserted-by":"crossref","unstructured":"Teng J-T, Min J, Pan Q (2012) Economic order quantity model with trade credit financing for non-decreasing demand. Omega 40(3):328\u2013335","DOI":"10.1016\/j.omega.2011.08.001"},{"key":"7769_CR70","doi-asserted-by":"crossref","first-page":"278","DOI":"10.1016\/j.ijpe.2018.03.019","volume":"200","author":"S Tiwari","year":"2018","unstructured":"Tiwari S, Jaggi CK, Gupta M, Cardenas-Barron LE (2018) Optimal pricing and lot-sizing policy for supply chain system with deteriorating items under limited storage capacity. Int J Prod Econ 200:278\u2013290","journal-title":"Int J Prod Econ"},{"issue":"1","key":"7769_CR71","doi-asserted-by":"crossref","first-page":"475","DOI":"10.1007\/s10479-012-1213-3","volume":"201","author":"K-J Wang","year":"2012","unstructured":"Wang K-J, Lin Y-S (2012) Optimal inventory replenishment strategy for deteriorating items in a demand-declining market with the retailer\u2019s price manipulation. Ann Oper Res 201(1):475\u2013494","journal-title":"Ann Oper Res"},{"issue":"2","key":"7769_CR72","doi-asserted-by":"crossref","first-page":"315","DOI":"10.1016\/j.ejor.2013.06.027","volume":"232","author":"W-C Wang","year":"2014","unstructured":"Wang W-C, Teng J-T, Lou K-R (2014) Seller\u2019s optimal credit period and cycle time in a supply chain for deteriorating items with maximum lifetime. Eur J Oper Res 232(2):315\u2013321","journal-title":"Eur J Oper Res"},{"issue":"1","key":"7769_CR73","doi-asserted-by":"crossref","first-page":"7","DOI":"10.1016\/j.omega.2005.01.019","volume":"35","author":"H Wee","year":"2007","unstructured":"Wee H, Yu J, Chen M (2007) Optimal inventory model for items with imperfect quality and shortage backordering. Omega 35(1):7\u201311","journal-title":"Omega"},{"key":"7769_CR74","doi-asserted-by":"crossref","unstructured":"Wu J, Al-khateeb FB, Teng J-T, Cardenas-Barron LE (2016) Inventory models for deteriorating items with maximum lifetime under downstream partial trade credits to credit-risk customers by discounted cash-flow analysis. Int J Prod Econ 171:105\u2013115","DOI":"10.1016\/j.ijpe.2015.10.020"},{"issue":"1\u20132","key":"7769_CR75","doi-asserted-by":"crossref","first-page":"459","DOI":"10.1007\/s10479-017-2673-2","volume":"264","author":"J Wu","year":"2018","unstructured":"Wu J, Teng J-T, Skouri K (2018) Optimal inventory policies for deteriorating items with trapezoidal-type demand patterns and maximum lifetimes under upstream and downstream trade credits. Ann Oper Res 264(1\u20132):459\u2013476","journal-title":"Ann Oper Res"}],"container-title":["Soft Computing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s00500-022-07769-3.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s00500-022-07769-3\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s00500-022-07769-3.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,10,11]],"date-time":"2024-10-11T03:28:33Z","timestamp":1728617313000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s00500-022-07769-3"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2022,12,30]]},"references-count":75,"journal-issue":{"issue":"5","published-print":{"date-parts":[[2023,3]]}},"alternative-id":["7769"],"URL":"https:\/\/doi.org\/10.1007\/s00500-022-07769-3","relation":{"has-preprint":[{"id-type":"doi","id":"10.21203\/rs.3.rs-1754466\/v1","asserted-by":"object"}]},"ISSN":["1432-7643","1433-7479"],"issn-type":[{"value":"1432-7643","type":"print"},{"value":"1433-7479","type":"electronic"}],"subject":[],"published":{"date-parts":[[2022,12,30]]},"assertion":[{"value":"13 December 2022","order":1,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"30 December 2022","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 we have no conflict of interest.","order":2,"name":"Ethics","group":{"name":"EthicsHeading","label":"Conflict of interest"}},{"value":"This article does not contain any studies with human participants or animals performed by any of the authors.","order":3,"name":"Ethics","group":{"name":"EthicsHeading","label":"Ethical approval"}}]}}