{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,28]],"date-time":"2026-04-28T22:18:34Z","timestamp":1777414714020,"version":"3.51.4"},"reference-count":70,"publisher":"Springer Science and Business Media LLC","issue":"5","license":[{"start":{"date-parts":[[2024,3,1]],"date-time":"2024-03-01T00:00:00Z","timestamp":1709251200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2024,3,1]],"date-time":"2024-03-01T00:00:00Z","timestamp":1709251200000},"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":["Electron Commer Res"],"published-print":{"date-parts":[[2025,10]]},"DOI":"10.1007\/s10660-024-09822-9","type":"journal-article","created":{"date-parts":[[2024,3,1]],"date-time":"2024-03-01T01:02:31Z","timestamp":1709254951000},"page":"3721-3748","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":16,"title":["An economic production quantity model for an imperfect production system with selling price, advertisement frequency and green-level dependent demand"],"prefix":"10.1007","volume":"25","author":[{"given":"Mostafijur","family":"Rahaman","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Shariful","family":"Alam","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Rakibul","family":"Haque","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Ali Akbar","family":"Shaikh","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Pradeep Kumar","family":"Behera","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-4690-2598","authenticated-orcid":false,"given":"Sankar Prasad","family":"Mondal","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2024,3,1]]},"reference":[{"issue":"2","key":"9822_CR1","first-page":"135","volume":"10","author":"Harris","year":"1913","unstructured":"Harris. (1913). How many parts to make at once. Factory, The magazine of Management, 10(2), 135\u2013136.","journal-title":"Factory, The magazine of Management"},{"issue":"5","key":"9822_CR2","doi-asserted-by":"crossref","first-page":"494","DOI":"10.1080\/095372897235073","volume":"8","author":"HM Wee","year":"1997","unstructured":"Wee, H. M. (1997). A replenishment policy for items with a price-dependent demand and a varying rate of deterioration. Production Planning & Control, 8(5), 494\u2013499.","journal-title":"Production Planning & Control"},{"issue":"3","key":"9822_CR3","doi-asserted-by":"crossref","first-page":"375","DOI":"10.1504\/IJLSM.2017.086949","volume":"28","author":"AA Shaikh","year":"2017","unstructured":"Shaikh, A. A. (2017). An inventory model for deteriorating item with frequency of advertisement and selling price dependent demand under mixed type trade credit policy. International Journal of Logistics Systems and Management, 28(3), 375\u2013395.","journal-title":"International Journal of Logistics Systems and Management"},{"key":"9822_CR4","first-page":"290","volume":"8","author":"M Palanivel","year":"2017","unstructured":"Palanivel, M., & Uthayakumar, R. (2017). A production-inventory model with promotional effort, variable production cost and probabilistic deterioration. International Journal of System Assurance Engineering and Management, 8, 290\u2013300.","journal-title":"International Journal of System Assurance Engineering and Management"},{"issue":"4","key":"9822_CR5","doi-asserted-by":"crossref","first-page":"201","DOI":"10.1007\/s40819-022-01410-5","volume":"8","author":"A Hatibaruah","year":"2022","unstructured":"Hatibaruah, A., & Saha, S. (2022). A production inventory model for ameliorating and deteriorating items with price, time and advertisement frequency dependent demand under the effect of inflation. International Journal of Applied and Computational Mathematics, 8(4), 201.","journal-title":"International Journal of Applied and Computational Mathematics"},{"issue":"8","key":"9822_CR6","doi-asserted-by":"crossref","first-page":"4646","DOI":"10.3390\/su14084646","volume":"14","author":"M Abdul Hakim","year":"2022","unstructured":"Abdul Hakim, M., Hezam, I. M., Alrasheedi, A. F., & Gwak, J. (2022). Pricing policy in an inventory model with green level dependent demand for a deteriorating item. Sustainability, 14(8), 4646.","journal-title":"Sustainability"},{"issue":"5","key":"9822_CR7","doi-asserted-by":"crossref","first-page":"4137","DOI":"10.1007\/s10462-022-10268-4","volume":"56","author":"M Akhtar","year":"2023","unstructured":"Akhtar, M., Duary, A., Manna, A. K., Shaikh, A. A., & Bhunia, A. K. (2023). An application of tournament differential evolution algorithm in production inventory model with green level and expiry time dependent demand. Artificial Intelligence Review, 56(5), 4137\u20134170.","journal-title":"Artificial Intelligence Review"},{"issue":"2","key":"9822_CR8","doi-asserted-by":"crossref","first-page":"451","DOI":"10.1016\/j.ejor.2009.01.041","volume":"200","author":"SS Sana","year":"2010","unstructured":"Sana, S. S. (2010). A production\u2013inventory model in an imperfect production process. European Journal of Operational Research, 200(2), 451\u2013464.","journal-title":"European Journal of Operational Research"},{"issue":"5","key":"9822_CR9","first-page":"2656","volume":"13","author":"D Barman","year":"2022","unstructured":"Barman, D., & Mahata, G. C. (2022). Two-echelon production inventory model with imperfect quality items with ordering cost reduction depending on controllable lead time. International Journal of System Assurance Engineering and Management, 13(5), 2656\u20132671.","journal-title":"International Journal of System Assurance Engineering and Management"},{"key":"9822_CR10","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, S. K., & Weber, G. W. (2018). Analysis of inventory control model with shortage under time-dependent demand and time-varying holding cost including stochastic deterioration. Annals of Operations Research, 260, 437\u2013460.","journal-title":"Annals of Operations Research"},{"issue":"1","key":"9822_CR11","first-page":"61","volume":"9","author":"MAA Khan","year":"2022","unstructured":"Khan, M. A. A., Ahmed, S., Babu, M. S., & Sultana, N. (2022). Optimal lot-size decision for deteriorating items with price-sensitive demand, linearly time-dependent holding cost under all-units discount environment. International Journal of Systems Science: Operations & Logistics, 9(1), 61\u201374.","journal-title":"International Journal of Systems Science: Operations & Logistics"},{"issue":"3","key":"9822_CR12","doi-asserted-by":"crossref","first-page":"516","DOI":"10.1016\/j.ejor.2013.02.014","volume":"228","author":"AA Taleizadeh","year":"2013","unstructured":"Taleizadeh, A. A., & Pentico, D. W. (2013). An economic order quantity model with a known price increase and partial back ordering. European Journal of Operational Research, 228(3), 516\u2013525.","journal-title":"European Journal of Operational Research"},{"issue":"23","key":"9822_CR13","doi-asserted-by":"crossref","first-page":"5357","DOI":"10.1016\/j.apm.2014.02.014","volume":"38","author":"Taleizadeh","year":"2014","unstructured":"Taleizadeh. (2014). An economic order quantity model for deteriorating item in a purchasing systemwith multiple prepayments. Applied Mathematical Modelling, 38(23), 5357\u20135366.","journal-title":"Applied Mathematical Modelling"},{"key":"9822_CR14","first-page":"285","volume":"10","author":"SK Karuppasamy","year":"2019","unstructured":"Karuppasamy, S. K., & Uthayakumar, R. (2019). Coordination of a three-level supply chain with variable demand and order size dependent trade credit in healthcare industries. International Journal of System Assurance Engineering and Management, 10, 285\u2013298.","journal-title":"International Journal of System Assurance Engineering and Management"},{"key":"9822_CR15","first-page":"1717","volume":"8","author":"S Moslemi","year":"2017","unstructured":"Moslemi, S., Zavvar Sabegh, M. H., Mirzazadeh, A., Ozturkoglu, Y., & Maass, E. (2017). A multi-objective model for multi-production and multi-echelon closed-loop pharmaceutical supply chain considering quality concepts: NSGAII approach. International Journal of System Assurance Engineering and Management, 8, 1717\u20131733.","journal-title":"International Journal of System Assurance Engineering and Management"},{"key":"9822_CR16","first-page":"1194","volume":"8","author":"KM Latha","year":"2017","unstructured":"Latha, K. M., & Uthayakumar, R. (2017). A two-echelon supply chain coordination with quantity discount incentive for fixed lifetime product in a fuzzy environment. International Journal of System Assurance Engineering and Management, 8, 1194\u20131208.","journal-title":"International Journal of System Assurance Engineering and Management"},{"key":"9822_CR17","first-page":"683","volume":"8","author":"DE Ighravwe","year":"2017","unstructured":"Ighravwe, D. E., & Oke, S. A. (2017). A manufacturing system energy-efficient optimisation model for maintenance-production workforce size determination using integrated fuzzy logic and quality function deployment approach. International Journal of System Assurance Engineering and Management, 8, 683\u2013703.","journal-title":"International Journal of System Assurance Engineering and Management"},{"key":"9822_CR18","first-page":"112","volume":"7","author":"M Vijayashree","year":"2016","unstructured":"Vijayashree, M., & Uthayakumar, R. (2016). Two-echelon supply chain inventory model with controllable lead time. International Journal of System Assurance Engineering and Management, 7, 112\u2013125.","journal-title":"International Journal of System Assurance Engineering and Management"},{"issue":"3","key":"9822_CR19","first-page":"844","volume":"14","author":"Priyanka","year":"2023","unstructured":"Priyanka, & Pareek, S. (2023). A sustainable inventory model for stochastic demand using innovative multi-item production system with reduced failure rate. International Journal of System Assurance Engineering and Management, 14(3), 844\u2013864.","journal-title":"International Journal of System Assurance Engineering and Management"},{"issue":"1","key":"9822_CR20","first-page":"241","volume":"14","author":"H Ali","year":"2023","unstructured":"Ali, H., Nasreen, R., Arneja, N., & Jaggi, C. K. (2023). Optimization of a periodically assessing model with manageable lead time under SLC with back order rebate for deteriorating items. International Journal of System Assurance Engineering and Management, 14(1), 241\u2013266.","journal-title":"International Journal of System Assurance Engineering and Management"},{"key":"9822_CR21","first-page":"26","volume":"8","author":"A Thangam","year":"2017","unstructured":"Thangam, A. (2017). Retailer\u2019s optimal replenishment policy in a two-echelon supply chain under two-part delay in payments and disruption in delivery. International Journal of System Assurance Engineering and Management, 8, 26\u201346.","journal-title":"International Journal of System Assurance Engineering and Management"},{"issue":"1","key":"9822_CR22","first-page":"347","volume":"13","author":"R Panda","year":"2022","unstructured":"Panda, R., & Tiwari, P. K. (2022). An economic risk based optimal bidding strategy for various market players considering optimal wind placements in day-ahead and real-time competitive power market. International Journal of System Assurance Engineering and Management, 13(1), 347\u2013362.","journal-title":"International Journal of System Assurance Engineering and Management"},{"key":"9822_CR23","doi-asserted-by":"crossref","first-page":"6337","DOI":"10.1007\/s12652-020-02318-y","volume":"11","author":"T Li","year":"2020","unstructured":"Li, T., Song, Y., & Xia, X. (2020). Research on remote control algorithm for parallel implicit domain robot patrol inspection on 3D unstructured grid. Journal of Ambient Intelligence and Humanized Computing, 11, 6337\u20136347.","journal-title":"Journal of Ambient Intelligence and Humanized Computing"},{"issue":"10","key":"9822_CR24","doi-asserted-by":"crossref","first-page":"14081","DOI":"10.1007\/s12652-022-04113-3","volume":"14","author":"M Taimoor","year":"2022","unstructured":"Taimoor, M., Lu, X., Maqsood, H., & Sheng, C. (2022). A novel fault diagnosis in sensors of quadrotor unmanned aerial vehicle. Journal of Ambient Intelligence and Humanized Computing, 14(10), 14081\u201314099.","journal-title":"Journal of Ambient Intelligence and Humanized Computing"},{"key":"9822_CR25","doi-asserted-by":"crossref","first-page":"1321","DOI":"10.1007\/s12652-020-02577-9","volume":"13","author":"S Tang","year":"2022","unstructured":"Tang, S., Liu, G., Lin, Z., & Li, X. (2022). Multi-station test scheduling optimization method for industrial robot servo system. Journal of Ambient Intelligence and Humanized Computing, 13, 1321\u20131337.","journal-title":"Journal of Ambient Intelligence and Humanized Computing"},{"issue":"4","key":"9822_CR26","doi-asserted-by":"crossref","first-page":"4005","DOI":"10.1007\/s12652-022-04467-8","volume":"14","author":"AFU Din","year":"2023","unstructured":"Din, A. F. U., Mir, I., Gul, F., & Akhtar, S. (2023). Development of reinforced learning based non-linear controller for unmanned aerial vehicle. Journal of Ambient Intelligence and Humanized Computing, 14(4), 4005\u20134022.","journal-title":"Journal of Ambient Intelligence and Humanized Computing"},{"key":"9822_CR27","doi-asserted-by":"crossref","first-page":"2547","DOI":"10.1007\/s12652-020-02390-4","volume":"12","author":"M Taimoor","year":"2021","unstructured":"Taimoor, M., Aijun, L., & Samiuddin, M. (2021). Sliding mode learning algorithm based adaptive neural observer strategy for fault estimation, detection and neural controller of an aircraft. Journal of Ambient Intelligence and Humanized Computing, 12, 2547\u20132571.","journal-title":"Journal of Ambient Intelligence and Humanized Computing"},{"key":"9822_CR28","doi-asserted-by":"crossref","first-page":"16513","DOI":"10.1007\/s12652-022-03894-x","volume":"14","author":"FL John","year":"2022","unstructured":"John, F. L., & Dogra, D. (2022). Application research of network learning algorithm based on neural network disturbance compensation in satellite attitude control. Journal of Ambient Intelligence and Humanized Computing, 14, 16513\u201316520.","journal-title":"Journal of Ambient Intelligence and Humanized Computing"},{"issue":"7","key":"9822_CR29","doi-asserted-by":"crossref","first-page":"9049","DOI":"10.1007\/s12652-022-04410-x","volume":"14","author":"J Dominguez","year":"2022","unstructured":"Dominguez, J., Campillo, J., Campo-Landines, K., & Contreras-Ortiz, S. H. (2022). Impact of emotional states on the effective range of electric vehicles. Journal of Ambient Intelligence and Humanized Computing, 14(7), 9049\u20139058.","journal-title":"Journal of Ambient Intelligence and Humanized Computing"},{"issue":"4","key":"9822_CR30","doi-asserted-by":"crossref","first-page":"339","DOI":"10.1016\/j.cie.2004.06.007","volume":"47","author":"S Mukhopadhyay","year":"2004","unstructured":"Mukhopadhyay, S., Mukherjee, R. N., & Chaudhuri, K. S. (2004). Joint pricing and ordering policy for a deteriorating inventory. Computers & Industrial Engineering, 47(4), 339\u2013349.","journal-title":"Computers & Industrial Engineering"},{"issue":"3","key":"9822_CR31","doi-asserted-by":"crossref","first-page":"491","DOI":"10.1080\/00207721.2010.517856","volume":"43","author":"SS Sana","year":"2012","unstructured":"Sana, S. S. (2012). Price sensitive demand with random sales price a newsboy problem. International Journal of Systems Science, 43(3), 491\u2013498.","journal-title":"International Journal of Systems Science"},{"issue":"6","key":"9822_CR32","doi-asserted-by":"crossref","first-page":"1071","DOI":"10.1111\/itor.12131","volume":"22","author":"B Pal","year":"2015","unstructured":"Pal, B., Sana, S. S., & Chaudhuri, K. (2015). Two echelon manufactures retailer supply chain strategies with price, quality, and promotional effort sensitive demand. International Transactions in Operational Research, 22(6), 1071\u20131095.","journal-title":"International Transactions in Operational Research"},{"issue":"1","key":"9822_CR33","first-page":"479","volume":"13","author":"R Das","year":"2022","unstructured":"Das, R., Barman, A., & De, P. K. (2022). Integration of pricing and inventory decisions of deteriorating item in a decentralized supply chain: A Stackelberg-game approach. International Journal of System Assurance Engineering and Management, 13(1), 479\u2013493.","journal-title":"International Journal of System Assurance Engineering and Management"},{"issue":"5","key":"9822_CR34","doi-asserted-by":"crossref","first-page":"2991","DOI":"10.1051\/ro\/2021127","volume":"55","author":"M Rahaman","year":"2021","unstructured":"Rahaman, M., Mondal, S. P., & Alam, S. (2021). An estimation of effects of memory and learning experience on the EOQ model with price dependent demand. RAIRO-Operations Research, 55(5), 2991\u20133020.","journal-title":"RAIRO-Operations Research"},{"issue":"3","key":"9822_CR35","doi-asserted-by":"crossref","first-page":"189","DOI":"10.1007\/BF03398680","volume":"39","author":"CY Dye","year":"2002","unstructured":"Dye, C. Y. (2002). A deteriorating inventory model with stock-dependent demand and partial backlogging under conditions of permissible delay in payments. Opsearch, 39(3), 189\u2013201.","journal-title":"Opsearch"},{"issue":"1","key":"9822_CR36","doi-asserted-by":"crossref","first-page":"13","DOI":"10.1080\/09537280150203933","volume":"12","author":"TK Datta","year":"2001","unstructured":"Datta, T. K., & Paul, K. (2001). An inventory system with stock-dependent, price-sensitive demandrate. Production planning & control, 12(1), 13\u201320.","journal-title":"Production planning & control"},{"issue":"2","key":"9822_CR37","doi-asserted-by":"crossref","first-page":"297","DOI":"10.1016\/S0305-0548(03)00237-5","volume":"32","author":"JT Teng","year":"2005","unstructured":"Teng, J. T., & Chang, C. T. (2005). Economic production quantity models for deteriorating items with price-and stock-dependent demand. Computers & Operations Research., 32(2), 297\u2013308.","journal-title":"Computers & Operations Research."},{"issue":"7","key":"9822_CR38","doi-asserted-by":"crossref","first-page":"3277","DOI":"10.1016\/j.amc.2011.08.067","volume":"218","author":"SS Sana","year":"2011","unstructured":"Sana, S. S. (2011). An EOQ model for salesmen\u2019s initiatives, stock and price sensitive demand of similar products: A dynamical system. Applied Mathematics and Computation, 218(7), 3277\u20133288.","journal-title":"Applied Mathematics and Computation"},{"issue":"4","key":"9822_CR39","first-page":"591","volume":"5","author":"S Pal","year":"2014","unstructured":"Pal, S., Mahapatra, G. S., & Samanta, G. P. (2014). An inventory model of price and stock dependent demand rate with deterioration under ination and delay in payment. International Journal of System Assurance Engineering and Management, 5(4), 591\u2013601.","journal-title":"International Journal of System Assurance Engineering and Management"},{"issue":"1","key":"9822_CR40","doi-asserted-by":"crossref","first-page":"165","DOI":"10.1007\/s10479-017-2419-1","volume":"254","author":"U Mishra","year":"2017","unstructured":"Mishra, U., Cardenas-Barron, L. E., Tiwari, S., Shaikh, A. A., & Trevino-Garza, G. (2017). Aninventory model under price and stock dependent demand for controllable deterioration rate with shortages and preservation technology investment. Annals of operations research, 254(1), 165\u2013190.","journal-title":"Annals of operations research"},{"issue":"6","key":"9822_CR41","doi-asserted-by":"crossref","first-page":"2721","DOI":"10.1007\/s00500-021-06598-0","volume":"26","author":"M Rahaman","year":"2022","unstructured":"Rahaman, M., Mondal, S. P., Alam, S., & De, S. K. (2022). A study of a lock fuzzy EPQ model with deterioration and stock and unit selling price-dependent demand using preservation technology. Soft Computing, 26(6), 2721\u20132740.","journal-title":"Soft Computing"},{"issue":"2","key":"9822_CR42","doi-asserted-by":"crossref","first-page":"152","DOI":"10.1504\/IJBFMI.2017.084055","volume":"3","author":"AA Shaikh","year":"2017","unstructured":"Shaikh, A. A., Mashud, A. H. M., Uddin, M. S., & Khan, M. A. A. (2017). Non-instantaneous deterioration inventory model with price and stock dependent demand for fully backlogged shortages underination. International Journal of Business Forecasting and Marketing Intelligence, 3(2), 152\u2013164.","journal-title":"International Journal of Business Forecasting and Marketing Intelligence"},{"issue":"1","key":"9822_CR43","doi-asserted-by":"crossref","first-page":"49","DOI":"10.5267\/j.uscm.2017.6.003","volume":"6","author":"A Mashud","year":"2018","unstructured":"Mashud, A., Khan, M., Uddin, M., & Islam, M. (2018). A non-instantaneous inventory model having different deterioration rates with stock and price dependent demand under partially backlogged shortages. Uncertain Supply Chain Management, 6(1), 49\u201364.","journal-title":"Uncertain Supply Chain Management"},{"key":"9822_CR44","first-page":"385","volume":"11","author":"S Ruidas","year":"2020","unstructured":"Ruidas, S., Seikh, M. R., & Nayak, P. K. (2020). An EPQ model with stock and selling price dependent demand and variable production rate in interval environment. International Journal of System Assurance Engineering and Management, 11, 385\u2013399.","journal-title":"International Journal of System Assurance Engineering and Management"},{"key":"9822_CR45","first-page":"734","volume":"8","author":"R Udayakumar","year":"2017","unstructured":"Udayakumar, R., & Geetha, K. V. (2017). Economic ordering policy for single item inventory model over finite time horizon. International Journal of System Assurance Engineering and Management, 8, 734\u2013757.","journal-title":"International Journal of System Assurance Engineering and Management"},{"key":"9822_CR46","doi-asserted-by":"crossref","first-page":"107804","DOI":"10.1016\/j.ijpe.2020.107804","volume":"230","author":"MAA Khan","year":"2020","unstructured":"Khan, M. A. A., Shaikh, A. A., Konstantaras, I., Bhunia, A. K., & Cardenas-Barron, L. E. (2020). Inventory models for perishable items with advanced payment, linearly time-dependent holding costand demand dependent on advertisement and selling price. International Journal of Production Economics, 230, 107804.","journal-title":"International Journal of Production Economics"},{"key":"9822_CR47","doi-asserted-by":"publisher","DOI":"10.1155\/2021\/9588685","author":"HM Alshanbari","year":"2021","unstructured":"Alshanbari, H. M., El-Bagoury, A. A. A. H., Khan, M., Mondal, S., Shaikh, A. A., & Rashid, A. (2021). Economic order quantity model with weibull distributed deterioration under a mixed cash and prepayment scheme. Computational Intelligence and Neuroscience. https:\/\/doi.org\/10.1155\/2021\/9588685","journal-title":"Computational Intelligence and Neuroscience"},{"issue":"4","key":"9822_CR48","doi-asserted-by":"crossref","first-page":"2245","DOI":"10.1051\/ro\/2022102","volume":"56","author":"H Barman","year":"2022","unstructured":"Barman, H., Pervin, M., & Roy, S. K. (2022). Impacts of green and preservation technology investments on a sustainable EPQ model during COVID-19 pandemic. RAIRO-Operations Research, 56(4), 2245\u20132275.","journal-title":"RAIRO-Operations Research"},{"issue":"1","key":"9822_CR49","doi-asserted-by":"crossref","first-page":"109","DOI":"10.1080\/23270012.2022.2030255","volume":"10","author":"B Malleeswaran","year":"2022","unstructured":"Malleeswaran, B., & Uthayakumar, R. (2022). A single-manufacturer multi-retailer sustainable reworking model for green and environmental sensitive demand under discrete ordering cost reduction. Journal of Management Analytics, 10(1), 109\u2013128.","journal-title":"Journal of Management Analytics"},{"issue":"1","key":"9822_CR50","first-page":"25","volume":"10","author":"A Roy","year":"2008","unstructured":"Roy, A. (2008). An inventory model for deteriorating items with price dependent demand and time varying holding cost. Advanced modeling and optimization, 10(1), 25\u201337.","journal-title":"Advanced modeling and optimization"},{"issue":"44","key":"9822_CR51","first-page":"2171","volume":"4","author":"CK Tripathy","year":"2010","unstructured":"Tripathy, C. K., & Mishra, U. (2010). An inventory model for Weibull deteriorating items with price dependent demand and time-varying holding cost. Applied Mathematical Sciences, 4(44), 2171\u20132179.","journal-title":"Applied Mathematical Sciences"},{"issue":"1","key":"9822_CR52","doi-asserted-by":"crossref","first-page":"180","DOI":"10.1016\/j.ijpe.2013.02.002","volume":"144","author":"P Guchhait","year":"2013","unstructured":"Guchhait, P., Maiti, M. K., & Maiti, M. (2013). Production-inventory models for a damageable item with variable demands and inventory costs in an imperfect production process. International Journal of Production Economics, 144(1), 180\u2013188.","journal-title":"International Journal of Production Economics"},{"issue":"2","key":"9822_CR53","doi-asserted-by":"crossref","first-page":"599","DOI":"10.1016\/j.cie.2011.11.009","volume":"62","author":"V Pando","year":"2012","unstructured":"Pando, V., San-Jos\u00e9, L. A., Garc\u00eda-Laguna, J., & Sicilia, J. (2012). Maximizing profits in an inventory model with both demand rate and holding cost per unit time dependent on the stock level. Computers & Industrial Engineering, 62(2), 599\u2013608.","journal-title":"Computers & Industrial Engineering"},{"issue":"1","key":"9822_CR54","doi-asserted-by":"crossref","first-page":"294","DOI":"10.1016\/j.ijpe.2013.04.050","volume":"145","author":"V Pando","year":"2013","unstructured":"Pando, V., San-Jos\u00e9, L. A., Garc\u00eda-Laguna, J., & Sicilia, J. (2013). An economic lot-size model with non-linear holding cost hinging on time and quantity. International Journal of Production Economics, 145(1), 294\u2013303.","journal-title":"International Journal of Production Economics"},{"issue":"6","key":"9822_CR55","doi-asserted-by":"crossref","first-page":"715","DOI":"10.3846\/13926292.2015.1108936","volume":"20","author":"HK Alfares","year":"2015","unstructured":"Alfares, H. K. (2015). Maximum-profit inventory model with stock-dependent demand, time dependent holding cost, and all-units quantity discounts. Mathematical Modelling and Analysis, 20(6), 715\u2013736.","journal-title":"Mathematical Modelling and Analysis"},{"key":"9822_CR56","doi-asserted-by":"crossref","first-page":"170","DOI":"10.1016\/j.cie.2016.02.009","volume":"94","author":"HK Alfares","year":"2016","unstructured":"Alfares, H. K., & Ghaithan, A. M. (2016). Inventory and pricing model with price-dependent demand, time-varying holding cost, and quantity discounts. Computers & Industrial Engineering, 94, 170\u2013177.","journal-title":"Computers & Industrial Engineering"},{"key":"9822_CR57","doi-asserted-by":"crossref","first-page":"105557","DOI":"10.1016\/j.cie.2018.12.004","volume":"139","author":"LE C\u00e1rdenas-Barr\u00f3n","year":"2020","unstructured":"C\u00e1rdenas-Barr\u00f3n, L. E., Shaikh, A. A., Tiwari, S., & Trevi\u00f1o-Garza, G. (2020). An EOQ inventorymodel with nonlinear stock dependent holding cost, nonlinear stock dependent demand and tradecredit. Computers & Industrial Engineering, 139, 105557.","journal-title":"Computers & Industrial Engineering"},{"issue":"3","key":"9822_CR58","doi-asserted-by":"crossref","first-page":"1737","DOI":"10.1007\/s13369-018-3593-4","volume":"44","author":"HK Alfares","year":"2019","unstructured":"Alfares, H. K., & Ghaithan, A. M. (2019). EOQ and EPQ production-inventory models with variableholding cost: State-of-the-art review. Arabian Journal for Science and Engineering, 44(3), 1737\u20131755.","journal-title":"Arabian Journal for Science and Engineering"},{"issue":"4","key":"9822_CR59","doi-asserted-by":"crossref","first-page":"1365","DOI":"10.1111\/itor.12632","volume":"26","author":"AA Shaikh","year":"2019","unstructured":"Shaikh, A. A., Khan, M. A. A., Panda, G. C., & Konstantaras, I. (2019). Price discount facility in an EOQ model for deteriorating items with stock-dependent demand and partial backlogging. International Transactions in Operational Research, 26(4), 1365\u20131395.","journal-title":"International Transactions in Operational Research"},{"issue":"3","key":"9822_CR60","doi-asserted-by":"crossref","first-page":"2455","DOI":"10.1007\/s10462-021-10069-1","volume":"55","author":"MS Rahman","year":"2022","unstructured":"Rahman, M. S., Duary, A., Khan, M., Shaikh, A. A., & Bhunia, A. K. (2022). Interval valued demandrelated inventory model under all units discount facility and deterioration via parametric approach. Artificial Intelligence Review, 55(3), 2455\u20132494.","journal-title":"Artificial Intelligence Review"},{"issue":"1","key":"9822_CR61","doi-asserted-by":"crossref","first-page":"95","DOI":"10.1007\/s10479-018-2968-y","volume":"290","author":"AA Taleizadeh","year":"2020","unstructured":"Taleizadeh, A. A., Hazarkhani, B., & Moon, I. (2020). Joint pricing and inventory decisions with carbon emission considerations, partial backordering, and planned discounts. Annals of Operations Research, 290(1), 95\u2013113.","journal-title":"Annals of Operations Research"},{"issue":"3","key":"9822_CR62","doi-asserted-by":"crossref","first-page":"3963","DOI":"10.1007\/s13369-021-06516-4","volume":"47","author":"HK Alfares","year":"2022","unstructured":"Alfares, H. K., & Ghaithan, A. M. (2022). A generalized production-inventory model with variable production, demand, and cost rates. Arabian Journal for Science and Engineering, 47(3), 3963\u20133978.","journal-title":"Arabian Journal for Science and Engineering"},{"issue":"1","key":"9822_CR63","doi-asserted-by":"crossref","first-page":"137","DOI":"10.1287\/opre.34.1.137","volume":"34","author":"EL Porteus","year":"1986","unstructured":"Porteus, E. L. (1986). Optimal lot sizing, process quality improvement and setup cost reduction. Operations research, 34(1), 137\u2013144.","journal-title":"Operations research"},{"issue":"1","key":"9822_CR64","doi-asserted-by":"crossref","first-page":"48","DOI":"10.1080\/07408178608975329","volume":"18","author":"MJ Rosenblatt","year":"1986","unstructured":"Rosenblatt, M. J., & Lee, H. L. (1986). Economic production cycles with imperfect production processes. IIE transactions, 18(1), 48\u201355.","journal-title":"IIE transactions"},{"issue":"9","key":"9822_CR65","doi-asserted-by":"crossref","first-page":"4881","DOI":"10.1016\/j.amc.2011.10.053","volume":"218","author":"B Sarkar","year":"2012","unstructured":"Sarkar, B. (2012). An inventory model with reliability in an imperfect production process. Applied Mathematics and Computation, 218(9), 4881\u20134891.","journal-title":"Applied Mathematics and Computation"},{"key":"9822_CR66","doi-asserted-by":"crossref","first-page":"9","DOI":"10.1016\/j.cie.2016.11.027","volume":"104","author":"AK Manna","year":"2017","unstructured":"Manna, A. K., Dey, J. K., & Mondal, S. K. (2017). Imperfect production inventory model with production rate dependent defective rate and advertisement dependent demand. Computers & Industrial Engineering, 104, 9\u201322.","journal-title":"Computers & Industrial Engineering"},{"issue":"8","key":"9822_CR67","doi-asserted-by":"crossref","first-page":"1275","DOI":"10.3390\/pr9081275","volume":"9","author":"RH Su","year":"2021","unstructured":"Su, R. H., Weng, M. W., Yang, C. T., & Li, H. T. (2021). An imperfect production\u2013inventory model with mixed materials containing scrap returns based on a circular economy. Processes, 9(8), 1275.","journal-title":"Processes"},{"issue":"5","key":"9822_CR68","first-page":"910","volume":"12","author":"G Priyamvada","year":"2021","unstructured":"Priyamvada, G., & P., & Khanna, A. (2021). Sustainable production strategies for deteriorating and imperfect quality items with an investment in preservation technology. International Journal of System Assurance Engineering and Management, 12(5), 910\u2013918.","journal-title":"International Journal of System Assurance Engineering and Management"},{"key":"9822_CR69","first-page":"1041","volume":"8","author":"MG Kumar","year":"2017","unstructured":"Kumar, M. G., & Uthayakumar, R. (2017). An integrated single vendor\u2013buyer inventory model for imperfect production process with stochastic demand in controllable lead time. International Journal of System Assurance Engineering and Management, 8, 1041\u20131054.","journal-title":"International Journal of System Assurance Engineering and Management"},{"key":"9822_CR70","first-page":"384","volume":"10","author":"ID Wangsa","year":"2019","unstructured":"Wangsa, I. D., Wee, H. M., & Tseng, S. H. (2019). A coordinated vendor\u2013buyer system considering loss and damage claims, insurance cost and stochastic lead time. International Journal of System Assurance Engineering and Management, 10, 384\u2013398.","journal-title":"International Journal of System Assurance Engineering and Management"}],"container-title":["Electronic Commerce Research"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s10660-024-09822-9.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s10660-024-09822-9\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s10660-024-09822-9.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,24]],"date-time":"2025-10-24T15:59:29Z","timestamp":1761321569000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s10660-024-09822-9"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2024,3,1]]},"references-count":70,"journal-issue":{"issue":"5","published-print":{"date-parts":[[2025,10]]}},"alternative-id":["9822"],"URL":"https:\/\/doi.org\/10.1007\/s10660-024-09822-9","relation":{},"ISSN":["1389-5753","1572-9362"],"issn-type":[{"value":"1389-5753","type":"print"},{"value":"1572-9362","type":"electronic"}],"subject":[],"published":{"date-parts":[[2024,3,1]]},"assertion":[{"value":"30 January 2024","order":1,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"1 March 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 there is no conflict of interest in this study.","order":2,"name":"Ethics","group":{"name":"EthicsHeading","label":"Conflict of interest"}}]}}