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Solving the problem of industry by formulating it as a fractional capacitated transportation problem with bounds on rim conditions

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  • Kavita Gupta

    (University of Delhi)

  • Ritu Arora

    (University of Delhi)

Abstract

The main aim of this paper is to determine a transportation schedule that maximizes the profit percentage of a trading firm , D. M. Chemicals that deals in the trade of soap stone across various states of India. The problem under consideration is modeled as a fractional capacitated transportation problem with bounds on rim conditions. The data is taken from the account keeping books of the firm. A related transportation problem is formulated and the solution of the given problem is shown to be derivable from related problem. The developed solution is compared with the existing solution. Moreover, the solution obtained is verified by using a computing software Excel Solver.

Suggested Citation

  • Kavita Gupta & Ritu Arora, 2018. "Solving the problem of industry by formulating it as a fractional capacitated transportation problem with bounds on rim conditions," 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. 9(2), pages 509-516, April.
    • Handle: RePEc:spr:ijsaem:v:9:y:2018:i:2:d:10.1007_s13198-018-0697-x
    DOI: 10.1007/s13198-018-0697-x
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    References listed on IDEAS

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    1. Ashish Trivedi & Ankur Chauhan & Surya Prakash Singh & Harpreet Kaur, 2017. "A multi-objective integer linear program to integrate supplier selection and order allocation with market demand in a supply chain," International Journal of Procurement Management, Inderscience Enterprises Ltd, vol. 10(3), pages 335-359.
    2. Dahiya, Kalpana & Verma, Vanita, 2007. "Capacitated transportation problem with bounds on RIM conditions," European Journal of Operational Research, Elsevier, vol. 178(3), pages 718-737, May.
    3. Son Duy Dao & Kazem Abhary & Romeo Marian, 2017. "An integrated production scheduling model for multi-product orders in VCIM systems," 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. 8(1), pages 12-27, March.
    4. P. Senthil Kumar & R. Jahir Hussain, 2016. "Computationally simple approach for solving fully intuitionistic fuzzy real life transportation problems," 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. 7(1), pages 90-101, December.
    5. Kavita Gupta & Ritu Arora, 2017. "More for less method to minimize the unit transportation cost of a capacitated transportation problem with bounds on rim conditions," OPSEARCH, Springer;Operational Research Society of India, vol. 54(3), pages 460-474, September.
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    Cited by:

    1. P. Senthil Kumar, 2020. "Algorithms for solving the optimization problems using fuzzy and intuitionistic fuzzy set," 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. 11(1), pages 189-222, February.
    2. Zhi-Ming Chen & Cheng-Hsiung Lee & Hung-Lin Lai, 2022. "Speedup the optimization of maximal closure of a node-weighted directed acyclic graph," OPSEARCH, Springer;Operational Research Society of India, vol. 59(4), pages 1413-1437, December.

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