Investigation of two-warehouse inventory problems in interval environment under inflation via particle swarm optimization. Issue 2 (3rd March 2016)

• Record Type: Journal Article
• Authors: Bhunia, Asoke Kumar; Shaikh, Ali Akbar
• Is Part Of: Mathematical and computer modelling of dynamical systems. Volume 22:Issue 2(2016)
• Page Start: 160
• Page End: 179
• Publication Date: 2016-03-03
• Subjects: Inventory -- two-warehouse -- deterioration -- partial backlogging -- inflation -- time-dependent demand -- particle swarm optimization; Engineering -- Mathematical models -- Periodicals; Computer simulation -- Periodicals; 515.39
• DOI: 10.1080/13873954.2016.1150860
• Languages: English
• ISSNs: 1387-3954

Abstract

ABSTRACT: In this paper, a two-warehouse inventory problem has been investigated under inflation with different deterioration effects in two separate warehouses (rented warehouse, RW, and owned warehouse, OW). The objective of this investigation is to determine the lot-size of the cycle of the two-warehouse inventory system by minimizing the average cost of the system. Considering different inventory policies, the corresponding models have been formulated for linear trend in demand and interval valued cost parameters. In OW, shortages, if any, are allowed and partially backlogged with a variable rate dependent on the duration of the waiting time up to the arrival of the next lot. The corresponding optimization problems have been formulated as non-linear constrained optimization problems with interval parameters. These problems have been solved by an efficient soft computing method, viz. practical swarm optimization. To illustrate the model, a numerical example has been solved with different partially backlogging rates. Then to study the effect of changes of different system parameters on the optimal policy, sensitivity analyses have been carried out graphically by changing one parameter at a time and keeping the others at their original values. Finally, a fruitful conclusion has been reached regarding the selection of an appropriate inventory policy of the two-warehouse system.