TY - JOUR ID - 81353 TI - A Lot-Sizing Model for Non-Instantaneous Deteriorating Products Under Advance Payment and Non-Linear Partial Backlogging JO - Interdisciplinary Journal of Management Studies (Formerly known as Iranian Journal of Management Studies) JA - IJMS LA - en SN - AU - Tavassoli, Sara AU - Manavizadeh, Neda AU - Rezaei, Aida AU - Rabbani, Masoud AD - School of Industrial and Systems Engineering, College of Engineering, University of Tehran, Tehran, Iran AD - Department of Industrial Engineering, KHATAM University, Tehran, Iran Y1 - 2022 PY - 2022 VL - 15 IS - 1 SP - 85 EP - 110 KW - Economic order quantity KW - non-linear partial backordering KW - non-instantaneous deterioration KW - advance payments KW - Deteriorating items DO - 10.22059/ijms.2021.315463.674346 N2 - In real life conditions, the buyers sometimes pay all or a percentage of the product price before receiving it, and the wholesaler sometimes allows them to prepay it at equal intervals. The present study develops a new mathematical model for products with non-instantaneous deteriorating rates by considering consecutive advance payments. In the proposed inventory model, the shortage is consisting of lost sales along with backorders simultaneously. In addition, the model considers the backlogging as totally dependent on the waiting time for the further cycle. In addition, the appropriate conditions to achieve the optimal solutions have been developed, and numerical instances have been provided to verify and evaluate the results and solution method. The useful methods to effectively reduce the annual total cost are provided according to the results of the sensitivity analysis. UR - https://ijms.ut.ac.ir/article_81353.html L1 - https://ijms.ut.ac.ir/article_81353_3536d70cbb328bddd33d31aaee3b1131.pdf ER -