A Constrained Multi-Item Inventory Model Under Probabilistic Demand Using Linear Programming Techniques

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Published: Dec 30, 2025
DOI: https://doi.org/10.63561/jmsc.v2i4.1051
Keywords:
Economic Order Quantity (EOQ), Dynamic Programming (DP), Inventory Management, Probabilistic Demand, Linear Programming (LP), Multiple Item

Main Article Content

Aisha Sheikh Hassan
Department of Mathematics, Federal Polytechnic Bida
Ahmed Abubakar Yahaya
Department of Mathematics, Federal Polytechnic Bida
Abdullahi Mohammed Usman
Department of Mathematics, Federal Polytechnic Bida
Sulaiman Dauda
Transport Technology Centre (TTC), Nigerian Institute of Transport Technology (NITT) Zaria.

Abstract

This study involves inventory management model to obtain ordering policy that maximizes profits of several items with constraints under probabilistic demand. The goal is to obtain an optimal EOQ, in order to maximize profit for each of the state of demand for the items. The decision to order more units of items or not to order additional units are given as the decision variables which are represented by zero (0) and one (1),  these decisions are made at the beginning of each planning period using 2-period dynamic programming technique (DP). In order to handle the constraints given by the management, the Linear programming technique (LP) is used. The application of the model was demonstrated by a numerical illustration.

Article Details

How to Cite
Hassan, A. S., Yahaya, A. A., Usman, A. M., & Dauda, S. (2025). A Constrained Multi-Item Inventory Model Under Probabilistic Demand Using Linear Programming Techniques. Faculty of Natural and Applied Sciences Journal of Mathematical and Statistical Computing, 2(4), 38–50. https://doi.org/10.63561/jmsc.v2i4.1051
Issue
Vol. 2 No. 4 (2025): 2025-FNAS-JMSC-2-4
Section
Articles

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