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Application of fuzzy programming techniques to solve solid transportation problem with additional constraints

Author

Listed:
  • Sharmistha Halder (Jana)
  • Biswapati Jana

Abstract

An innovative, real-life solid transportation problem is explained in a non-linear form. As in real life, the total transportation cost depends on the procurement process or type of the items and the distance of transportation. Besides, an impurity constraint is considered here. The proposed model is formed with fuzzy imprecise nature. Such an interesting model is optimised through two different fuzzy programming techniques and fractional programming methods, using LINGO-14.0 tools followed by the generalized gradient method. Finally, the model is discussed concerning these two different methods.

Suggested Citation

  • Sharmistha Halder (Jana) & Biswapati Jana, 2020. "Application of fuzzy programming techniques to solve solid transportation problem with additional constraints," Operations Research and Decisions, Wroclaw University of Science and Technology, Faculty of Management, vol. 30(1), pages 67-84.
    • Handle: RePEc:wut:journl:v:1:y:2020:p:67-84:id:1467
    DOI: 10.37190/ord200104
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    References listed on IDEAS

    as
    1. P.Senthil Kumar, 2018. "PSK Method for Solving Intuitionistic Fuzzy Solid Transportation Problems," International Journal of Fuzzy System Applications (IJFSA), IGI Global, vol. 7(4), pages 62-99, October.
    2. R. E. Bellman & L. A. Zadeh, 1970. "Decision-Making in a Fuzzy Environment," Management Science, INFORMS, vol. 17(4), pages 141-164, December.
    3. P. Senthil Kumar, 2018. "A note on 'a new approach for solving intuitionistic fuzzy transportation problem of type-2'," International Journal of Logistics Systems and Management, Inderscience Enterprises Ltd, vol. 29(1), pages 102-129.
    4. P. Senthil Kumar, 2019. "PSK Method for Solving Mixed and Type-4 Intuitionistic Fuzzy Solid Transportation Problems," International Journal of Operations Research and Information Systems (IJORIS), IGI Global, vol. 10(2), pages 20-53, April.
    5. Richard S. Barr & Fred Glover & Darwin Klingman, 1981. "A New Optimization Method for Large Scale Fixed Charge Transportation Problems," Operations Research, INFORMS, vol. 29(3), pages 448-463, June.
    6. Singh, Preetvanti & Saxena, P. K., 2003. "The multiple objective time transportation problem with additional restrictions," European Journal of Operational Research, Elsevier, vol. 146(3), pages 460-476, May.
    7. P. Senthil Kumar, 2019. "Intuitionistic fuzzy solid assignment problems: a software-based approach," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 10(4), pages 661-675, August.
    8. Adlakha, Veena & Kowalski, Krzysztof, 2003. "A simple heuristic for solving small fixed-charge transportation problems," Omega, Elsevier, vol. 31(3), pages 205-211, June.
    9. Tien-Fu Liang, 2008. "Interactive Multi-Objective Transportation Planning Decisions Using Fuzzy, Linear Programming," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 25(01), pages 11-31.
    10. K. B. Haley, 1962. "New Methods in Mathematical Programming---The Solid Transportation Problem," Operations Research, INFORMS, vol. 10(4), pages 448-463, August.
    11. Kanti Swarup, 1965. "Letter to the Editor—Linear Fractional Functionals Programming," Operations Research, INFORMS, vol. 13(6), pages 1029-1036, December.
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