An Order Inventory Model for Delayed Deteriorating Items with Two-Storage Facilities, Time-Varying Demand and Partial Backlogging Rates Under Trade-Credit Policy
DOI:
https://doi.org/10.56919/usci.2322.011Keywords:
Non-instantaneous deterioration, own ware-house and rented ware-house, two-phase demand rates of time-dependent quadratic and constant demand rates, permissible delay in payments, time-dependent partial backloggingAbstract
The retailer's ideal replenishment strategy for non-instantaneous decaying goods with two-phase demand rates, two storage facilities, and shortages under a permissible payment delay has been determined in this study. While the constant demand rate is considered once deterioration has begun, the demand rate up to that point is believed to be a time-dependent quadratic function. Backlogs and shortages are also taken into consideration. Whether or not the backlog will be accepted depends on how long it will be until the next replenishment. As a result, the backlogging rate fluctuates and depends on how long it takes for the next refill. The models identify the ideal cycle length, order amount, and period at which the inventory level in the owned warehouse reaches zero in order to reduce the overall variable cost per unit of time. For the solutions to exist and be unique, both the necessary and sufficient requirements must be met. The best trade credit period is identified for each model using numerical examples, and the best model among the created models is identified using the best trade credit periods. Sensitivity analysis can offer some managerial insights
References
Babangida B. and Baraya Y. M. (2020). An inventory model for non-instantaneous deteriorating items with time dependent quadratic demand, two-storage facilities and shortages under trade credit policy. International Journal of Modelling in Operations Management, 8(1), 1-44. https://doi.org/10.1504/IJMOM.2020.108893
Chakrabarty, R., Roy, T. and Chaudhuri, K. S. (2018). A two-warehouse inventory model for deteriorating items with capacity constraints and back-ordering under financial considerations. International journal of applied and Computational mathematics, 4(58). https://doi.org/10.1007/s40819-018-0490-1
Chandra, K. J., Sunil, T. and Satish K. G. (2017). Credit financing in economic ordering policies for non-instantaneous deteriorating items with price dependent demand and two-storage facilities. Annal of Operational Research, 248(11), 253-280. https://doi.org/10.1007/s10479-016-2179-3
Datta, D. A., Kumar, Y. R., Gupta, N., Singh, Y. R., Rathee, R., Boadh, R. and Kumar, A. (2022). Selling price, time dependent demand and variable holding cost inventory model with two-storage facilities. Materials Today: Proceedings, 56, 245-251. https://doi.org/10.1016/j.matpr.2022.01.111
Gupta, M., Tiwari, S. and Jaggi, C. K. (2020). Retailer's ordering policies for time-varying deteriorating items with partial backlogging and permissible delay in payments in a two-warehouse environment. Annals of Operations Research, 295, 139-161. https://doi.org/10.1007/s10479-020-03673-x
Jaggi, C. K. Cardenas-Barron, L. E., Tiwaria, S. and Shafi, A. A. (2017). Two-warehouse inventory model for deteriorating items with imperfect quality under the conditions of permissible delay in payments. Scientia Iranica E, 24(1), 390-412. https://doi.org/10.24200/sci.2017.4042
Kumar, A. and Chanda, Y. (2018). Two-warehouse inventory model for deteriorating items with demand influenced by innovation criterion in growing technology market. Journal of Management Analytics. https://doi.org/10.1080/23270012.2018.1462111
Kumar, N. K., Raj, R., Chandra, S. and Chaudhary, H. (2017). Two warehouse inventory model for deteriorating item with exponential demand rate and permissible delay in payment. Yugoslav Journal of Operations Research, 27 (1), 109-124. https://doi.org/10.2298/YJOR150404007K
Sahoo, C. K., Paul, K. C. and Kumar, S. (2020). Two warehouses EOQ inventory model of degrading matter having exponential decreasing order, limited suspension in price including salvage value. SN Computer Science 1 (334), https://doi.org/10.1007/s42979-020-00346-1
Tiwari, S., Cardenas-Barron, L.E., Khanna, A., Jaggi, C.K. (2016). Impact of trade credit and inflation on retailer's ordering policies for non-instantaneous deteriorating items in a two-ware-house environment. International Journal of Production Economics, 176(C), 154-169. https://doi.org/10.1016/j.ijpe.2016.03.016
Udayakumar, R. and Geetha, K. V. (2018). An EOQ model for non-instantaneous deteriorating items with two levels of storage under trade credit policy. International journal of industrial engineering, 14(2), 343- 365. https://doi.org/10.1007/s40092-017-0228-4
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