Article: Optimising inventory replenishment system - a case in multi-product multi-retailer Journal: International Journal of Mathematics in Operational Research (IJMOR) 2026 Vol.33 No.3 pp.344 - 360 Abstract: Inventory management and replenishment are considered as important process in supply chain, especially in the retail industry. The replenishment process requires businesses to consider a large amount of information to support the decisions related to the appropriate quantity and timing of replenishment. The goal is to minimise costs associated with inventory including purchasing, holding and shortage costs at retail stores and maintain a high customer service level. The problem of the paper is formulated with mixed integer linear programming and to be solved by genetic algorithm to achieve optimal distribution cost for firm. The results of the paper will support businesses in providing product replenishment strategies while considering related constraints on demand, budget, thereby providing businesses with the lowest operating costs and increasing competitiveness in the future. Inderscience Publishers - linking academia, business and industry through research

Title: Optimising inventory replenishment system - a case in multi-product multi-retailer

Authors: Le Duc Dao; Huynh Nhat Huy

Addresses: Department of Industrial Systems Engineering, Faculty of Mechanical Engineering, Ho Chi Minh City University of Technology (HCMUT), 268 Ly Thuong Kiet Street, Ward 14, District 10, Ho Chi Minh City, Vietnam; Vietnam National University, Ho Chi Minh City, Linh Trung Ward, Thu Duc City, Ho Chi Minh City, Vietnam ' Department of Industrial Systems Engineering, Faculty of Mechanical Engineering, Ho Chi Minh City University of Technology (HCMUT), 268 Ly Thuong Kiet Street, Ward 14, District 10, Ho Chi Minh City, Vietnam; Vietnam National University, Ho Chi Minh City, Linh Trung Ward, Thu Duc City, Ho Chi Minh City, Vietnam

Abstract: Inventory management and replenishment are considered as important process in supply chain, especially in the retail industry. The replenishment process requires businesses to consider a large amount of information to support the decisions related to the appropriate quantity and timing of replenishment. The goal is to minimise costs associated with inventory including purchasing, holding and shortage costs at retail stores and maintain a high customer service level. The problem of the paper is formulated with mixed integer linear programming and to be solved by genetic algorithm to achieve optimal distribution cost for firm. The results of the paper will support businesses in providing product replenishment strategies while considering related constraints on demand, budget, thereby providing businesses with the lowest operating costs and increasing competitiveness in the future.

Keywords: inventory replenishment model; genetic algorithm; mixed integer linear programming.

DOI: 10.1504/IJMOR.2026.152310

International Journal of Mathematics in Operational Research, 2026 Vol.33 No.3, pp.344 - 360

Received: 17 Apr 2024
Accepted: 08 May 2024
Published online: 16 Mar 2026 *

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Title: Optimising inventory replenishment system - a case in multi-product multi-retailer

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