A Lot-Sizing Model for Non-Instantaneous Deteriorating Products Under Advance Payment and Non-Linear Partial Backlogging

Ai, X. Y., Zhang, J. L., & Wang, L. (2017). Optimal joint replenishment policy for multiple non-instantaneous deteriorating items. International Journal of Production Research, 55(16), 4625-4642.‏ https://doi.org/10.1080/00207543.2016.1276306

Bakker, M., Riezebos, J., & Teunter, R. H. (2012). Review of inventory systems with deterioration since 2001. European Journal of Operational Research, 221(2), 275-284.‏ https://doi.org/10.1016/j.ejor.2012.03.004

Bishi, B., & Sahu, S. K. (2018). An inventory model for deteriorating items with quadratic demand and partial backlogging. Journal of Computer and Mathematical Sciences, 9(12), 2188-2198.‏

Cambini, A., & Martein, L. (2008). Generalized convexity and optimization: Theory and applications. Springer Science & Business Media.‏

Chakraborty, D., Jana, D. K., & Roy, T. K. (2020). Multi-warehouse partial backlogging inventory system with inflation for non-instantaneous deteriorating multi-item under imprecise environment. Soft Computing, 24(19), 14471-14490.‏

Das, S. C., Manna, A. K., Rahman, M. S., Shaikh, A. A., & Bhunia, A. K. (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 Computing,  , 5365-5384.‏

Diabat, A., Taleizadeh, A. A., & Lashgari, M. (2017). A lot sizing model with partial downstream delayed payment, partial upstream advance payment, and partial backordering for deteriorating items. Journal of Manufacturing Systems, 45, 322-342.‏ https://doi.org/10.1016/j.jmsy.2017.04.005

Dutta, D., & Kumar, P. (2015). A partial backlogging inventory model for deteriorating items with time-varying demand and holding cost. International Journal of Mathematics in Operational Research, 7(3), 281-296.‏ https://doi.org/10.1504/IJMOR.2015.069144

Dye, C. Y. (2007). Joint pricing and ordering policy for a deteriorating inventory with partial backlogging. Omega, 35(2), 184-189.‏ https://doi.org/10.1016/j.omega.2005.05.002

Educba. (2020). Mathematica vs Matlab. Accessed from https://www.educba.com/mathematica-vs-matlab/

Geetha, K. V., & Udayakumar, R. (2016). Optimal lot sizing policy for non-instantaneous deteriorating items with price and advertisement dependent demand under partial backlogging. International Journal of Applied and Computational Mathematics, 2(2), 171-193.‏

Ghoreishi, M., Weber, G. W., & Mirzazadeh, A. (2015). An inventory model for non-instantaneous deteriorating items with partial backlogging, permissible delay in payments, inflation-and selling price-dependent demand and customer returns. Annals of Operations Research, 226(1), 221-238.‏

Goyal, S. K., & Giri, B. C. (2001). Recent trends in modeling of deteriorating inventory. European Journal of Operational Research, 134(1), 1-16.‏ https://doi.org/10.1016/S0377-2217(00)00248-4

Gupta, R. K., Bhunia, A. K., & Goyal, S. K. (2009). An application of Genetic Algorithm in solving an inventory model with advance payment and interval valued inventory costs. Mathematical and Computer Modelling, 49(5-6), 893-905.‏ https://doi.org/10.1016/j.mcm.2008.09.015

Halim, M. A., Paul, A., Mahmoud, M., Alshahrani, B., Alazzawi, A. Y., & Ismail, G. M. (2021). An overtime production inventory model for deteriorating items with nonlinear price and stock dependent demand. Alexandria Engineering Journal, 60(3), 2779-2786.‏ https://doi.org/10.1016/j.aej.2021.01.019

Hung, K. C. (2011). An inventory model with generalized type demand, deterioration and backorder rates. European Journal of Operational Research, 208(3), 239-242.‏ https://doi.org/10.1016/j.ejor.2010.08.026

Jaggi, C. K., Tiwari, S., & Goel, S. K. (2017). Credit financing in economic ordering policies for non-instantaneous deteriorating items with price dependent demand and two storage facilities. Annals of Operations Research, 248(1-2), 253-280.

‏Khakzad, A., & Gholamian, M. R. (2020). The effect of inspection on deterioration rate: An inventory model for deteriorating items with advanced payment. Journal of Cleaner Production, 254, 120117.‏ https://doi.org/10.1016/j.jclepro.2020.120117

Khan, M. A. A., Shaikh, A. A., Konstantaras, I., Bhunia, A. K., & Cárdenas-Barrón, L. E. (2020). Inventory models for perishable items with advanced payment, linearly time-dependent holding cost and demand dependent on advertisement and selling price. International Journal of Production Economics, 230, 107804.‏ https://doi.org/10.1016/j.ijpe.2020.107804

Khan, M. A. A., Shaikh, A. A., Panda, G. C., Bhunia, A. K., & Konstantaras, I. (2020). Non-instantaneous deterioration effect in ordering decisions for a two-warehouse inventory system under advance payment and backlogging. Annals of Operations Research, 289, 243-275.

Khan, M. A. A., Shaikh, A. A., Panda, G. C., & Konstantaras, I. (2019). Two-warehouse inventory model for deteriorating items with partial backlogging and advance payment scheme. RAIRO-Operations Research, 53(5), 1691-1708.‏ https://doi.org/10.1051/ro/2018093

Kumar, P., & Keerthika, P. S. (2018). An inventory model with variable holding cost and partial backlogging under interval uncertainty: Global criteria method. International Journal of Mechanical Engineering and Technology, 9(11), 1567-1578.‏

Lashgari, M., Taleizadeh, A. A., & Sadjadi, S. J. (2018). Ordering policies for non-instantaneous deteriorating items under hybrid partial prepayment, partial trade credit and partial backordering. Journal of the Operational Research Society, 69(8), 1167-1196.‏ https://doi.org/10.1080/01605682.2017.1390524

Lee, Y. P., & Dye, C. Y. (2012). An inventory model for deteriorating items under stock-dependent demand and controllable deterioration rate. Computers & Industrial Engineering, 63(2), 474-482.‏ https://doi.org/10.1016/j.cie.2012.04.006

Liao, J. J., Huang, K. N., Chung, K. J., Lin, S. D., Chuang, S. T., & Srivastava, H. M. (2020). Optimal ordering policy in an economic order quantity (EOQ) model for non-instantaneous deteriorating items with defective quality and permissible delay in payments. Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 114(1), 1-26.‏

Mahato, C., & Mahata, G. C. (2021). Optimal inventory policies for deteriorating items with expiration date and dynamic demand under two-level trade credit. OPSEARCH,  , 1-24.‏

Maihami, R., Ghelehkhondabi, I., & Ahmadi, E. (2021). Pricing and inventory planning for non-instantaneous deteriorating products with greening investment: A case study in beef industry. Journal of Cleaner Production, 126368.‏ https://doi.org/10.1016/j.jclepro.2021.126368

Maiti, A. K., Maiti, M. K., & Maiti, M. (2009). Inventory model with stochastic lead-time and price dependent demand incorporating advance payment. Applied Mathematical Modelling, 33(5), 2433-2443.‏ https://doi.org/10.1016/j.apm.2008.07.024

Mashud, A. H. M., Hasan, M. R., Wee, H. M., & Daryanto, Y. (2019). Non-instantaneous deteriorating inventory model under the joined effect of trade-credit, preservation technology and advertisement policy. Kybernetes, 49(6), 1645-1674. https://doi.org/10.1108/K-05-2019-0357

Mashud, A. H. M., Roy, D., Daryanto, Y., & Wee, H. M. (2021). Joint pricing deteriorating inventory model considering product life cycle and advance payment with a discount facility. RAIRO-Operations Research, 55, 1069-1088.‏ https://doi.org/10.1051/ro/2020106

Mashud, A. H. M., Wee, H. M., Sarkar, B., & Li, Y. H. C. (2020). A sustainable inventory system with the advanced payment policy and trade-credit strategy for a two-warehouse inventory system. Kybernetes,  .‏ https://doi.org/10.1108/K-01-2020-0052

Mishra, U., Wu, J. Z., & Sarkar, B. (2021). Optimum sustainable inventory management with backorder and deterioration under controllable carbon emissions. Journal of Cleaner Production, 279, 123699.‏ https://doi.org/10.1016/j.jclepro.2020.123699

Musa, A., & Sani, B. (2012). Inventory ordering policies of delayed deteriorating items under permissible delay in payments. International Journal of Production Economics, 136(1), 75-83.‏ https://doi.org/10.1016/j.ijpe.2011.09.013

Papachristos, S., & Skouri, K. (2000). An optimal replenishment policy for deteriorating items with time-varying demand and partial–exponential type–backlogging. Operations Research Letters, 27(4), 175-184.‏ https://doi.org/10.1016/S0167-6377(00)00044-4

Rahman, M. S., Khan, M. A. A., Halim, M. A., Nofal, T. A., Shaikh, A. A., & Mahmoud, E. E. (2021). Hybrid price and stock dependent inventory model for perishable goods with advance payment related discount facilities under preservation technology. Alexandria Engineering Journal, 60(3), 3455-3465.‏ https://doi.org/10.1016/j.aej.2021.01.045

Rajan, R. S., & Uthayakumar, R. (2017). EOQ model for time dependent demand and exponentially increasing holding cost under permissible delay in payment with complete backlogging. International Journal of Applied and Computational Mathematics, 3(2), 471-487.‏

Rezagholifam, M., Sadjadi, S. J., Heydari, M., & Karimi, M. (2020). Optimal pricing and ordering strategy for non-instantaneous deteriorating items with price and stock sensitive demand and capacity constraint. International Journal of Systems Science: Operations & Logistics,  , 1-12.‏ https://doi.org/10.1080/23302674.2020.1833259

Sen, N., Saha, S., & Nath, B. (2017). Inventory model with price dependent demand under permissible delay in payment. Asian Journal of Mathematics and Computer Research, 20(1), 1-12.‏

Shah, N. H., & Naik, M. K. (2020). Inventory policies for deteriorating items with time-price backlog dependent demand. International Journal of Systems Science: Operations & Logistics, 7(1), 76-89.‏ https://doi.org/10.1080/23302674.2018.1506062

Shaikh, A. A., Das, S. C., Bhunia, A. K., Panda, G. C., & Khan, M. A. A. (2019). A two-warehouse EOQ model with interval-valued inventory cost and advance payment for deteriorating item under particle swarm optimization. Soft Computing, 23(24), 13531-13546.‏

Skouri, K., Konstantaras, I., Papachristos, S., & Teng, J. T. (2011). Supply chain models for deteriorating products with ramp type demand rate under permissible delay in payments. Expert Systems with Applications, 38(12), 14861-14869.‏ https://doi.org/10.1016/j.eswa.2011.05.061

Soni, H. N., & Suthar, D. N. (2020). Optimal pricing and replenishment policy for non-instantaneous deteriorating items with varying rate of demand and partial backlogging. OPSEARCH, 57, 986-1021.

Sundararajan, R., & Uthayakumar, R. (2018). Optimal pricing and replenishment policies for instantaneous deteriorating items with backlogging and permissible delay in payment under inflation. American Journal of Mathematical and Management Sciences, 37(4), 307-323.‏ https://doi.org/10.1080/01966324.2017.1422202

Taleizadeh, A. A. (2014a). An economic order quantity model for deteriorating item in a purchasing system with multiple prepayments. Applied Mathematical Modelling, 38(23), 5357-5366.‏ https://doi.org/10.1016/j.apm.2014.02.014

Taleizadeh, A. A. (2014b). An EOQ model with partial backordering and advance payments for an evaporating item. International Journal of Production Economics, 155, 185-193.‏ https://doi.org/10.1016/j.ijpe.2014.01.023

Taleizadeh, A. A., & Nematollahi, M. (2014). An inventory control problem for deteriorating items with back-ordering and financial considerations. Applied Mathematical Modelling, 38(1), 93-109. https://doi.org/10.1016/j.apm.2013.05.065

Taleizadeh, A. A., Niaki, S. T. A., & Barzinpour, F. (2011). Multiple-buyer multiple-vendor multi-product multi-constraint supply chain problem with stochastic demand and variable lead-time: A harmony search algorithm. Applied Mathematics and Computation, 217(22), 9234-9253.‏ https://doi.org/10.1016/j.amc.2011.04.001

Taleizadeh, A. A., Pentico, D. W., Jabalameli, M. S., & Aryanezhad, M. (2013). An economic order quantity model with multiple partial prepayments and partial backordering. Mathematical and Computer Modelling, 57(3-4), 311-323.‏ https://doi.org/10.1016/j.mcm.2012.07.002

Taleizadeh, A. A., Tavakoli, S., & San-José, L. A. (2018). A lot sizing model with advance payment and planned backordering. Annals of Operations Research, 271(2), 1001-1022.‏

Teng, J. T., Cárdenas-Barrón, L. E., Chang, H. J., Wu, J., & Hu, Y. (2016). Inventory lot-size policies for deteriorating items with expiration dates and advance payments. Applied Mathematical Modelling, 40(19-20), 8605-8616.‏ https://doi.org/10.1016/j.apm.2016.05.022

Udayakumar, R., Geetha, K. V., & Sana, S. S. (2020). Economic ordering policy for non‐instantaneous deteriorating items with price and advertisement dependent demand and permissible delay in payment under inflation. Mathematical Methods in the Applied Sciences.‏ https://doi.org/10.1002/mma.6594

Viji, G., & Karthikeyan, K. (2018). An economic production quantity model for three levels of production with Weibull distribution deterioration and shortage. Ain Shams Engineering Journal, 9(4), 1481-1487.‏ https://doi.org/10.1016/j.asej.2016.10.006

Wang, W.C., Teng, J.T. & Lou, K.R. (2014). Seller’s optimal credit period and cycle time in a supply chain for deteriorating items with maximum lifetime. European Journal of Operational Research, 232(2), 315-321. https://doi.org/10.1016/j.ejor.2013.06.027

Wu, J., Skouri, K., Teng, J. T., & Ouyang, L. Y. (2014). A note on “optimal replenishment policies for non-instantaneous deteriorating items with price and stock sensitive demand under permissible delay in payment.” International Journal of Production Economics, 155, 324-329.‏ https://doi.org/10.1016/j.ijpe.2013.12.017

Wu, J., Teng, J. T., & Chan, Y. L. (2018). Inventory policies for perishable products with expiration dates and advance-cash-credit payment schemes. International Journal of Systems Science: Operations & Logistics, 5(4), 310-326.‏

Wu, K. S., Ouyang, L. Y., & Yang, C. T. (2006). An optimal replenishment policy for non-instantaneous deteriorating items with stock-dependent demand and partial backlogging. International Journal of Production Economics, 101(2), 369-384.‏ https://doi.org/10.1016/j.ijpe.2005.01.010

Zhang, Q., Tsao, Y. C., & Chen, T. H. (2014). Economic order quantity under advance payment. Applied Mathematical Modelling, 38(24), 5910-5921. https://doi.org/10.1016/j.apm.2014.04.040

Zia, N. P., & Taleizadeh, A. A. (2015). A lot-sizing model with backordering under hybrid linked-to-order multiple advance payments and delayed payment. Transportation Research Part E: Logistics and Transportation Review, 82, 19-37.‏ https://doi.org/10.1016/j.tre.2015.07.008