{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,24]],"date-time":"2026-03-24T12:37:00Z","timestamp":1774355820246,"version":"3.50.1"},"reference-count":48,"publisher":"Springer Science and Business Media LLC","issue":"4","license":[{"start":{"date-parts":[[2021,7,24]],"date-time":"2021-07-24T00:00:00Z","timestamp":1627084800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2021,7,24]],"date-time":"2021-07-24T00:00:00Z","timestamp":1627084800000},"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":["Appl Intell"],"published-print":{"date-parts":[[2022,3]]},"DOI":"10.1007\/s10489-021-02646-2","type":"journal-article","created":{"date-parts":[[2021,7,24]],"date-time":"2021-07-24T18:02:40Z","timestamp":1627149760000},"page":"4626-4650","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":36,"title":["An analysis of optimal pricing strategy and inventory scheduling policy for a non-instantaneous deteriorating item in a two-layer supply chain"],"prefix":"10.1007","volume":"52","author":[{"given":"Abhijit","family":"Barman","sequence":"first","affiliation":[]},{"given":"Rubi","family":"Das","sequence":"additional","affiliation":[]},{"given":"Pijus Kanti","family":"De","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2021,7,24]]},"reference":[{"issue":"2","key":"2646_CR1","first-page":"347","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 19(2):347\u2013368","journal-title":"Oper Res"},{"issue":"12","key":"2646_CR2","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1007\/s42452-020-03966-7","volume":"2","author":"A Barman","year":"2020","unstructured":"Barman A, Das R, De PK (2020) An analysis of retailer\u2019s inventory in a two-echelon centralized supply chain co-ordination under price-sensitive demand. SN Applied Sciences 2(12):1\u201315","journal-title":"SN Applied Sciences"},{"issue":"2","key":"2646_CR3","doi-asserted-by":"publisher","first-page":"95","DOI":"10.1016\/S0925-5273(01)00229-8","volume":"77","author":"T Boyac\u0131","year":"2002","unstructured":"Boyac\u0131 T, Gallego G (2002) Coordinating pricing and inventory replenishment policies for one wholesaler and one or more geographically dispersed retailers. Int J Prod Econ 77(2):95\u2013111","journal-title":"Int J Prod Econ"},{"key":"2646_CR4","unstructured":"Catan T, Trachtenberg JA (2012) Talks quicken over e-book pricing. The Wall Street Journal"},{"key":"2646_CR5","doi-asserted-by":"crossref","unstructured":"Chakraborty A, Mandal P (2021) Channel efficiency and retailer tier dominance in a supply chain with a common manufacturer. Eur J Oper Res","DOI":"10.1016\/j.ejor.2021.01.013"},{"issue":"6","key":"2646_CR6","first-page":"407","volume":"34","author":"D Chakraborty","year":"2017","unstructured":"Chakraborty D, Garai T, Jana DK, Roy TK (2017) A three-layer supply chain inventory model for non-instantaneous deteriorating item with inflation and delay in payments in random fuzzy environment. J Ind Prod Eng 34(6):407\u2013424","journal-title":"J Ind Prod Eng"},{"key":"2646_CR7","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1016\/j.ijpe.2017.04.001","volume":"189","author":"CK Chan","year":"2017","unstructured":"Chan CK, Wong WH, Langevin A, Lee Y (2017) An integrated production-inventory model for deteriorating items with consideration of optimal production rate and deterioration during delivery. Int J Prod Econ 189:1\u201313","journal-title":"Int J Prod Econ"},{"issue":"1","key":"2646_CR8","doi-asserted-by":"publisher","first-page":"62","DOI":"10.1016\/j.ijpe.2009.06.042","volume":"123","author":"CT Chang","year":"2010","unstructured":"Chang CT, Teng JT, Goyal SK (2010) Optimal replenishment policies for non-instantaneous deteriorating items with stock-dependent demand. Int J Prod Econ 123(1):62\u201368","journal-title":"Int J Prod Econ"},{"key":"2646_CR9","doi-asserted-by":"crossref","unstructured":"Chen X, Yang H, Wang X, Choi TM (2020) Optimal carbon tax design for achieving low carbon supply chains. Ann Oper Res: 1\u201328","DOI":"10.1007\/s10479-020-03621-9"},{"key":"2646_CR10","doi-asserted-by":"publisher","first-page":"310","DOI":"10.1016\/j.ijpe.2013.12.033","volume":"155","author":"KJ Chung","year":"2014","unstructured":"Chung KJ, C\u00e1rdenas-Barr\u00f3n LE, Ting PS (2014) An inventory model with non-instantaneous receipt and exponentially deteriorating items for an integrated three layer supply chain system under two levels of trade credit. Int J Prod Econ 155:310\u2013317","journal-title":"Int J Prod Econ"},{"issue":"7","key":"2646_CR11","doi-asserted-by":"publisher","first-page":"5365","DOI":"10.1007\/s00500-020-05535-x","volume":"25","author":"SC Das","year":"2021","unstructured":"Das SC, Manna AK, Rahman MS, Shaikh AA, Bhunia AK (2021) An inventory model for non-instantaneous deteriorating items with preservation technology and multiple credit periods-based trade credit financing via particle swarm optimization. Soft Comput 25(7):5365\u20135384","journal-title":"Soft Comput"},{"issue":"5","key":"2646_CR12","doi-asserted-by":"publisher","first-page":"872","DOI":"10.1016\/j.omega.2012.11.002","volume":"41","author":"CY Dye","year":"2013","unstructured":"Dye CY (2013) The effect of preservation technology investment on a non-instantaneous deteriorating inventory model. Omega 41(5):872\u2013880","journal-title":"Omega"},{"issue":"10","key":"2646_CR13","doi-asserted-by":"publisher","first-page":"2492","DOI":"10.1016\/j.cam.2009.10.031","volume":"233","author":"K Geetha","year":"2010","unstructured":"Geetha K, 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"},{"key":"2646_CR14","first-page":"238","volume":"14","author":"P Ghare","year":"1963","unstructured":"Ghare P (1963) A model for an exponentially decaying inventory. J ind Engng 14:238\u2013243","journal-title":"J ind Engng"},{"key":"2646_CR15","doi-asserted-by":"publisher","first-page":"233","DOI":"10.1016\/j.ijpe.2014.09.017","volume":"159","author":"Y Ghiami","year":"2015","unstructured":"Ghiami Y, Williams T (2015) A two-echelon production-inventory model for deteriorating items with multiple buyers. Int J Prod Econ 159:233\u2013240","journal-title":"Int J Prod Econ"},{"issue":"12","key":"2646_CR16","doi-asserted-by":"publisher","first-page":"1785","DOI":"10.1080\/02331934.2013.853059","volume":"63","author":"M Ghoreishi","year":"2014","unstructured":"Ghoreishi M, Mirzazadeh A, Weber GW (2014) Optimal pricing and ordering policy for non-instantaneous deteriorating items under inflation and customer returns. Optimization 63(12):1785\u20131804","journal-title":"Optimization"},{"key":"2646_CR17","doi-asserted-by":"publisher","first-page":"747","DOI":"10.1016\/j.apm.2017.05.039","volume":"52","author":"B Giri","year":"2017","unstructured":"Giri B, Roy B, Maiti T (2017) Coordinating a three-echelon supply chain under price and quality dependent demand with sub-supply chain and rfm strategies. Appl Math Model 52:747\u2013769","journal-title":"Appl Math Model"},{"issue":"4","key":"2646_CR18","doi-asserted-by":"publisher","first-page":"755","DOI":"10.1016\/0360-8352(95)00016-T","volume":"28","author":"S Goyal","year":"1995","unstructured":"Goyal S, Gunasekaran A (1995) An integrated production-inventory-marketing model for deteriorating items. Comput Ind Eng 28(4):755\u2013762","journal-title":"Comput Ind Eng"},{"issue":"3","key":"2646_CR19","doi-asserted-by":"publisher","first-page":"593","DOI":"10.1016\/j.ejor.2009.09.003","volume":"203","author":"Y He","year":"2010","unstructured":"He Y, Wang SY, Lai KK (2010) An optimal production-inventory model for deteriorating items with multiple-market demand. Eur J Oper Res 203(3):593\u2013600","journal-title":"Eur J Oper Res"},{"key":"2646_CR20","doi-asserted-by":"publisher","first-page":"106987","DOI":"10.1016\/j.cie.2020.106987","volume":"152","author":"YS Huang","year":"2021","unstructured":"Huang YS, Ho JW, Jian HJ, Tseng TLB (2021) Quantity discount coordination for supply chains with deteriorating inventory. Comput Ind Eng 152:106987","journal-title":"Comput Ind Eng"},{"issue":"1-2","key":"2646_CR21","doi-asserted-by":"publisher","first-page":"253","DOI":"10.1007\/s10479-016-2179-3","volume":"248","author":"CK Jaggi","year":"2017","unstructured":"Jaggi CK, Tiwari S, Goel SK (2017) Credit financing in economic ordering policies for non-instantaneous deteriorating items with price dependent demand and two storage facilities. Ann Oper Res 248 (1-2):253\u2013280","journal-title":"Ann Oper Res"},{"key":"2646_CR22","doi-asserted-by":"publisher","first-page":"120117","DOI":"10.1016\/j.jclepro.2020.120117","volume":"254","author":"A Khakzad","year":"2020","unstructured":"Khakzad A, Gholamian MR (2020) The effect of inspection on deterioration rate: An inventory model for deteriorating items with advanced payment. J Clean Prod 254:120117","journal-title":"J Clean Prod"},{"key":"2646_CR23","doi-asserted-by":"publisher","first-page":"114","DOI":"10.1016\/j.omega.2018.05.001","volume":"84","author":"G Li","year":"2019","unstructured":"Li G, He X, Zhou J, Wu H (2019) Pricing, replenishment and preservation technology investment decisions for non-instantaneous deteriorating items. Omega 84:114\u2013126","journal-title":"Omega"},{"issue":"3","key":"2646_CR24","doi-asserted-by":"publisher","first-page":"822","DOI":"10.1016\/j.ejor.2008.10.019","volume":"198","author":"CT Linh","year":"2009","unstructured":"Linh CT, Hong Y (2009) Channel coordination through a revenue sharing contract in a two-period newsboy problem. Eur J Oper Res 198(3):822\u2013829","journal-title":"Eur J Oper Res"},{"key":"2646_CR25","doi-asserted-by":"crossref","unstructured":"Liu Ml, Li Zh, Anwar S, Zhang Y (2021) Supply chain carbon emission reductions and coordination when consumers have a strong preference for low-carbon products. Environ Sci Pollut Res: 1\u201315","DOI":"10.1007\/s11356-020-09608-0"},{"issue":"1","key":"2646_CR26","doi-asserted-by":"publisher","first-page":"116","DOI":"10.1016\/j.ijpe.2011.09.020","volume":"136","author":"R Maihami","year":"2012","unstructured":"Maihami R, Kamalabadi IN (2012) Joint pricing and inventory control for non-instantaneous deteriorating items with partial backlogging and time and price dependent demand. Int J Prod Econ 136(1):116\u2013122","journal-title":"Int J Prod Econ"},{"key":"2646_CR27","doi-asserted-by":"publisher","first-page":"302","DOI":"10.1016\/j.cor.2014.05.022","volume":"51","author":"R Maihami","year":"2014","unstructured":"Maihami R, Karimi B (2014) Optimizing the pricing and replenishment policy for non-instantaneous deteriorating items with stochastic demand and promotional efforts. Comput Oper Res 51:302\u2013312","journal-title":"Comput Oper Res"},{"key":"2646_CR28","doi-asserted-by":"publisher","first-page":"126608","DOI":"10.1016\/j.jclepro.2021.126608","volume":"296","author":"AHM Mashud","year":"2021","unstructured":"Mashud AHM, Roy D, Daryanto Y, Chakrabortty RK, Tseng ML (2021) A sustainable inventory model with controllable carbon emissions, deterioration and advance payments. J Clean Prod 296:126608","journal-title":"J Clean Prod"},{"key":"2646_CR29","doi-asserted-by":"publisher","first-page":"S3","DOI":"10.1051\/ro\/2019042","volume":"55","author":"U Mishra","year":"2021","unstructured":"Mishra U, Tijerina-Aguilera J, Tiwari S, C\u00e1rdenas-Barr\u00f3n LE (2021) Production inventory model for controllable deterioration rate with shortages. RAIRO-Operations Research 55:S3\u2013 S19","journal-title":"RAIRO-Operations Research"},{"issue":"5","key":"2646_CR30","doi-asserted-by":"publisher","first-page":"298","DOI":"10.1257\/aer.104.5.298","volume":"104","author":"M Mr\u00e1zov\u00e1","year":"2014","unstructured":"Mr\u00e1zov\u00e1 M., Neary JP (2014) Together at last: trade costs, demand structure, and welfare. American Economic Review 104(5):298\u2013303","journal-title":"American Economic Review"},{"key":"2646_CR31","unstructured":"Nie J, Wang Q, Shi C, Zhou Y (2021) The dark side of bilateral encroachment within a supply chain. J Oper Res Soc: 1\u201311"},{"issue":"2","key":"2646_CR32","doi-asserted-by":"crossref","first-page":"530","DOI":"10.1016\/j.amc.2012.06.038","volume":"219","author":"B Pal","year":"2012","unstructured":"Pal B, Sana SS, Chaudhuri K (2012) Three-layer supply chain\u2013a production-inventory model for reworkable items. Appl Math Comput 219(2):530\u2013543","journal-title":"Appl Math Comput"},{"issue":"10","key":"2646_CR33","doi-asserted-by":"publisher","first-page":"1762","DOI":"10.1080\/00207721.2013.835001","volume":"46","author":"M Palanivel","year":"2015","unstructured":"Palanivel M, Uthayakumar R (2015) Finite horizon eoq model for non-instantaneous deteriorating items with price and advertisement dependent demand and partial backlogging under inflation. Int J Syst Sci 46 (10):1762\u20131773","journal-title":"Int J Syst Sci"},{"issue":"2","key":"2646_CR34","doi-asserted-by":"publisher","first-page":"539","DOI":"10.1016\/j.dss.2010.11.012","volume":"50","author":"SS Sana","year":"2011","unstructured":"Sana SS (2011) A production-inventory model of imperfect quality products in a three-layer supply chain. Decision Support Systems 50(2):539\u2013547","journal-title":"Decision Support Systems"},{"issue":"5","key":"2646_CR35","doi-asserted-by":"publisher","first-page":"3138","DOI":"10.1016\/j.apm.2012.07.026","volume":"37","author":"B Sarkar","year":"2013","unstructured":"Sarkar B (2013) A production-inventory model with probabilistic deterioration in two-echelon supply chain management. Appl Math Model 37(5):3138\u20133151","journal-title":"Appl Math Model"},{"issue":"5","key":"2646_CR36","doi-asserted-by":"publisher","first-page":"2509","DOI":"10.1111\/itor.12678","volume":"27","author":"S Sarkar","year":"2020","unstructured":"Sarkar S, Tiwari S, Wee HM, Giri B (2020) Channel coordination with price discount mechanism under price-sensitive market demand. Int Trans Oper Res 27(5):2509\u20132533","journal-title":"Int Trans Oper Res"},{"issue":"2-3","key":"2646_CR37","first-page":"87","volume":"37","author":"M Taghizadeh-Yazdi","year":"2020","unstructured":"Taghizadeh-Yazdi M, Farrokhi Z, Mohammadi-Balani A (2020) An integrated inventory model for multi-echelon supply chains with deteriorating items: a price-dependent demand approach. J Ind Prod Eng 37(2-3):87\u201396","journal-title":"J Ind Prod Eng"},{"issue":"4","key":"2646_CR38","doi-asserted-by":"publisher","first-page":"919","DOI":"10.1080\/00207721.2014.909544","volume":"47","author":"AA Taleizadeh","year":"2016","unstructured":"Taleizadeh AA, Noori-daryan M (2016) Pricing, manufacturing and inventory policies for raw material in a three-level supply chain. Int J Syst Sci 47(4):919\u2013931","journal-title":"Int J Syst Sci"},{"issue":"7","key":"2646_CR39","doi-asserted-by":"publisher","first-page":"1257","DOI":"10.1080\/00207721.2013.815827","volume":"46","author":"R Tat","year":"2015","unstructured":"Tat R, Taleizadeh AA, Esmaeili M (2015) Developing economic order quantity model for non-instantaneous deteriorating items in vendor-managed inventory (vmi) system. Int J Syst Sci 46(7):1257\u20131268","journal-title":"Int J Syst Sci"},{"issue":"1-4","key":"2646_CR40","doi-asserted-by":"publisher","first-page":"361","DOI":"10.1007\/s00170-010-2913-y","volume":"54","author":"M Valliathal","year":"2011","unstructured":"Valliathal M, Uthayakumar R (2011) Optimal pricing and replenishment policies of an eoq model for non-instantaneous deteriorating items with shortages. Int J Adv Manuf Technol 54(1-4):361\u2013371","journal-title":"Int J Adv Manuf Technol"},{"issue":"3","key":"2646_CR41","doi-asserted-by":"publisher","first-page":"449","DOI":"10.1016\/0360-8352(93)90040-5","volume":"24","author":"HM Wee","year":"1993","unstructured":"Wee HM (1993) Economic production lot size model for deteriorating items with partial back-ordering. Comput Ind Eng 24(3):449\u2013458","journal-title":"Comput Ind Eng"},{"issue":"2","key":"2646_CR42","doi-asserted-by":"publisher","first-page":"369","DOI":"10.1016\/j.ijpe.2005.01.010","volume":"101","author":"KS Wu","year":"2006","unstructured":"Wu KS, Ouyang LY, Yang CT (2006) An optimal replenishment policy for non-instantaneous deteriorating items with stock-dependent demand and partial backlogging. Int J Prod Econ 101(2):369\u2013384","journal-title":"Int J Prod Econ"},{"issue":"12","key":"2646_CR43","doi-asserted-by":"publisher","first-page":"1273","DOI":"10.1080\/00207720903038093","volume":"40","author":"KS Wu","year":"2009","unstructured":"Wu KS, Ouyang LY, Yang CT (2009) Coordinating replenishment and pricing policies for non-instantaneous deteriorating items with price-sensitive demand. Int J Syst Sci 40(12):1273\u2013 1281","journal-title":"Int J Syst Sci"},{"key":"2646_CR44","doi-asserted-by":"publisher","first-page":"120776","DOI":"10.1016\/j.jclepro.2020.120776","volume":"259","author":"W Wu","year":"2020","unstructured":"Wu W, Zhang Q, Liang Z (2020) Environmentally responsible closed-loop supply chain models for joint environmental responsibility investment, recycling and pricing decisions. J Clean Prod 259:120776","journal-title":"J Clean Prod"},{"issue":"5","key":"2646_CR45","doi-asserted-by":"publisher","first-page":"671","DOI":"10.1016\/S0305-0548(02)00032-1","volume":"30","author":"PC Yang","year":"2003","unstructured":"Yang PC, Wee HM (2003) An integrated multi-lot-size production inventory model for deteriorating item. Comput Oper Res 30(5):671\u2013682","journal-title":"Comput Oper Res"},{"key":"2646_CR46","doi-asserted-by":"publisher","first-page":"37","DOI":"10.1016\/j.omega.2015.03.004","volume":"56","author":"J Zhang","year":"2015","unstructured":"Zhang J, Liu G, Zhang Q, Bai Z (2015) Coordinating a supply chain for deteriorating items with a revenue sharing and cooperative investment contract. Omega 56:37\u201349","journal-title":"Omega"},{"issue":"1","key":"2646_CR47","doi-asserted-by":"publisher","first-page":"63","DOI":"10.1016\/j.ejor.2014.07.043","volume":"241","author":"L Zhang","year":"2015","unstructured":"Zhang L, Wang J, You J (2015) Consumer environmental awareness and channel coordination with two substitutable products. Eur J Oper Res 241(1):63\u201373","journal-title":"Eur J Oper Res"},{"issue":"3","key":"2646_CR48","doi-asserted-by":"publisher","first-page":"991","DOI":"10.1016\/j.ejor.2016.06.061","volume":"256","author":"W Zhou","year":"2017","unstructured":"Zhou W, Pu Y, Dai H, Jin Q (2017) Cooperative interconnection settlement among ISPs through NAP. Eur J Oper Res 256(3):991\u20131003","journal-title":"Eur J Oper Res"}],"container-title":["Applied Intelligence"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s10489-021-02646-2.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s10489-021-02646-2\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s10489-021-02646-2.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,11,6]],"date-time":"2023-11-06T12:28:27Z","timestamp":1699273707000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s10489-021-02646-2"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021,7,24]]},"references-count":48,"journal-issue":{"issue":"4","published-print":{"date-parts":[[2022,3]]}},"alternative-id":["2646"],"URL":"https:\/\/doi.org\/10.1007\/s10489-021-02646-2","relation":{},"ISSN":["0924-669X","1573-7497"],"issn-type":[{"value":"0924-669X","type":"print"},{"value":"1573-7497","type":"electronic"}],"subject":[],"published":{"date-parts":[[2021,7,24]]},"assertion":[{"value":"23 June 2021","order":1,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"24 July 2021","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":"<!--Emphasis Type='Bold' removed-->Conflict of Interests"}}]}}