An integrated multi-objective multi-product inventory managed production planning problem under uncertain environment

Umar Muhammad Modibbo (), Srikant Gupta (), Aquil Ahmed () and Irfan Ali ()
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Umar Muhammad Modibbo: Aligarh Muslim University
Srikant Gupta: Jaipuria Institute of Management
Aquil Ahmed: Aligarh Muslim University
Irfan Ali: Aligarh Muslim University

Annals of Operations Research, 2024, vol. 339, issue 3, No 21, 1679-1723

Abstract: Abstract Integrating inventory with production–distribution operations has critical importance realized by several companies’ top management a long time before; however, challenging. The management has to decide where to shift products, which demand to fulfil, from which distribution centre (s), how much inventory to keep and a host of critical and complex decisions. As the organization increase in size and complexity, more robust optimization tools required to help analyze and comprehend these complex decisions. In this study, inventory, production and distribution problems with planned shortages, back-ordered quantity and delay in replenishment studied under uncertainty. A multi-objective multi-product model for minimizing the inventory, production and shipment costs and delivery time developed for the integrated system. The study considers the model’s different input parameters under a fuzzy and stochastic environment. The fuzziness converted to deterministic using interval type-2 trapezoidal fuzzy number. The randomness follows the Maxwell–Boltzmann distribution in which the deterministic form obtained using chance-constrained programming. The developed integrated model illustrated a numerical example in a manufacturing firm and solved using three robust goal programming variants. The results indicated inventory, production and transshipment costs are 99% minimized with 100% delivery time achievement.

Keywords: Inventory control; Production–distribution; Probabilistic distribution; Chance-constrained programming; Multi-objective robust optimization; Trapezoidal fuzzy number (search for similar items in EconPapers)
Date: 2024
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Citations: View citations in EconPapers (1)

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DOI: 10.1007/s10479-022-04795-0

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