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Research Article
Received: 08 Jan 2025, Accepted: 02 Oct 2025,
 


A Mixed Integer Linear Programming Approach to Optimize the Capacitated Warehouse Location: a case study of blood donation and distribution in Saudi Arabia

Abdulhadi A. Altherwi.

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    • Abstract
    This paper discusses the optimization of the Capacitated Warehouse Location Problem (CWLP) under uncertain demand and supply. We propose an optimization framework that addresses the CWLP by considering blood distribution to identify optimal blood center locations. The objective is to meet all blood orders at the lowest possible cost, subject to warehouse capacity constraints. This study applies the framework to cities in the Kingdom of Saudi Arabia with high demand for blood delivery. We utilized census data from selected cities, with a representative sample of each city designated as a customer base. A novel mixed-integer linear programming (MILP) model was developed and solved using Python to determine the minimum total transportation and fixed costs for blood center construction. The proposed warehouse locations are presented on a map, showing each city connected to its optimal blood center warehouse.

    Key words: Keywords: Mixed Integer Linear Programming; Capacitated Warehouse Location Problem; Optimization.


    		 
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    How to Cite this Article
    Pubmed Style

    Abdulhadi A. Altherwi. A Mixed Integer Linear Programming Approach to Optimize the Capacitated Warehouse Location: a case study of blood donation and distribution in Saudi Arabia. doi:10.5455/jeas.2025011210

    Web Style

    Abdulhadi A. Altherwi. A Mixed Integer Linear Programming Approach to Optimize the Capacitated Warehouse Location: a case study of blood donation and distribution in Saudi Arabia. https://jecasmu.org/?mno=236736 [Access: December 24, 2025]. doi:10.5455/jeas.2025011210

    AMA (American Medical Association) Style

    Abdulhadi A. Altherwi. A Mixed Integer Linear Programming Approach to Optimize the Capacitated Warehouse Location: a case study of blood donation and distribution in Saudi Arabia. doi:10.5455/jeas.2025011210


    Vancouver/ICMJE Style

    Abdulhadi A. Altherwi. A Mixed Integer Linear Programming Approach to Optimize the Capacitated Warehouse Location: a case study of blood donation and distribution in Saudi Arabia. doi:10.5455/jeas.2025011210


    Harvard Style

    Abdulhadi A. Altherwi (2025) A Mixed Integer Linear Programming Approach to Optimize the Capacitated Warehouse Location: a case study of blood donation and distribution in Saudi Arabia. doi:10.5455/jeas.2025011210


    Turabian Style

    Abdulhadi A. Altherwi. 2025. A Mixed Integer Linear Programming Approach to Optimize the Capacitated Warehouse Location: a case study of blood donation and distribution in Saudi Arabia. doi:10.5455/jeas.2025011210


    Chicago Style

    Abdulhadi A. Altherwi. "A Mixed Integer Linear Programming Approach to Optimize the Capacitated Warehouse Location: a case study of blood donation and distribution in Saudi Arabia." doi:10.5455/jeas.2025011210


    MLA (The Modern Language Association) Style

    Abdulhadi A. Altherwi. "A Mixed Integer Linear Programming Approach to Optimize the Capacitated Warehouse Location: a case study of blood donation and distribution in Saudi Arabia." doi:10.5455/jeas.2025011210


    APA (American Psychological Association) Style

    Abdulhadi A. Altherwi (2025) A Mixed Integer Linear Programming Approach to Optimize the Capacitated Warehouse Location: a case study of blood donation and distribution in Saudi Arabia. doi:10.5455/jeas.2025011210


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    • ISSN: 1658-6638 (print)
    • ISSN: 1658-7073 (electronic)