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An experimental study of newly proposed initial basic feasible solution methods for a transportation problem

Author

Listed:
  • M. Mathirajan

    (Indian Institute of Science)

  • Sujan Reddy

    (National Institute of Technology Suratkal)

  • M. Vimala Rani

    (Indian Institute of Technology-Kharagpur)

Abstract

This study presents an extensive experimental study of heuristic methods or initial basic feasible solution (IBFS) methods, which is one of the main steps to achieve an optimal or accepted (near-optimal) solution, for a transportation problem (TP). In this study, we proposed 23 new IBFS methods (18 new IBFS methods, and 5 variants of existing IBFS methods) for a TP. We conducted a series of experimental analyses with 640 randomly generated problem instances to study the performance efficiency of the 23 newly proposed IBFS methods in comparison with (a) solutions obtained from 11 latest IBFS methods published in the literature, and (b) optimal solution obtained from linear programming approach. Our multiple performance analyses revealed that the first six ranking positions (with respect to the total transportation cost obtained from each of the 34 IBFS methods over 640 problem instances) are related to the newly proposed IBFS methods and the 7th to 10th ranking positions are related to the existing IBFS methods. Furthermore, the first two best performing newly proposed IBFS methods are yielding near to optimal solution (with 0% to 2% loss of optimality). So, these can be easily integrated as the sub-module to solve any complex decision-making problems such as Logistics/Supply Chain Management.

Suggested Citation

  • M. Mathirajan & Sujan Reddy & M. Vimala Rani, 2022. "An experimental study of newly proposed initial basic feasible solution methods for a transportation problem," OPSEARCH, Springer;Operational Research Society of India, vol. 59(1), pages 102-145, March.
    • Handle: RePEc:spr:opsear:v:59:y:2022:i:1:d:10.1007_s12597-021-00533-5
    DOI: 10.1007/s12597-021-00533-5
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    References listed on IDEAS

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    1. A. Charnes & W. W. Cooper, 1954. "The Stepping Stone Method of Explaining Linear Programming Calculations in Transportation Problems," Management Science, INFORMS, vol. 1(1), pages 49-69, October.
    2. Md. Ashraful Babu & M. A. Hoque & Md. Sharif Uddin, 2020. "A heuristic for obtaining better initial feasible solution to the transportation problem," OPSEARCH, Springer;Operational Research Society of India, vol. 57(1), pages 221-245, March.
    3. M. Mathirajan & B. Meenakshi, 2004. "Experimental Analysis Of Some Variants Of Vogel'S Approximation Method," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 21(04), pages 447-462.
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