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Application of fuzzy goal programming approach to multi-objective linear fractional inventory model

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  • D. Dutta
  • Pavan Kumar

Abstract

In this paper, we propose a model and solution approach for a multi-item inventory problem without shortages. The proposed model is formulated as a fractional multi-objective optimisation problem along with three constraints: budget constraint, space constraint and budgetary constraint on ordering cost of each item. The proposed inventory model becomes a multiple criteria decision-making (MCDM) problem in fuzzy environment. This model is solved by multi-objective fuzzy goal programming (MOFGP) approach. A numerical example is given to illustrate the proposed model.

Suggested Citation

  • D. Dutta & Pavan Kumar, 2015. "Application of fuzzy goal programming approach to multi-objective linear fractional inventory model," International Journal of Systems Science, Taylor & Francis Journals, vol. 46(12), pages 2269-2278, September.
    • Handle: RePEc:taf:tsysxx:v:46:y:2015:i:12:p:2269-2278
    DOI: 10.1080/00207721.2013.860639
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    Cited by:

    1. Chen Bai & Lixiao Yao & Cheng Wang & Yongxuan Zhao & Weien Peng, 2022. "Optimization of Water and Energy Spatial Patterns in the Cascade Pump Station Irrigation District," Sustainability, MDPI, vol. 14(9), pages 1-17, April.
    2. Hamiden Abd El- Wahed Khalifa & Pavan Kumar, 2022. "A goal programming approach for multi-objective linear fractional programming problem with LR possibilistic variables," 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. 13(4), pages 2053-2061, August.
    3. Irfan Ali & Srikant Gupta & Aquil Ahmed, 2019. "Multi-objective linear fractional inventory problem under intuitionistic fuzzy environment," 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(2), pages 173-189, April.
    4. Umar Muhammad Modibbo & Srikant Gupta & Aquil Ahmed & Irfan Ali, 2024. "An integrated multi-objective multi-product inventory managed production planning problem under uncertain environment," Annals of Operations Research, Springer, vol. 339(3), pages 1679-1723, August.

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