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A production lot-size model with Fuzzy-Ramp type demand and fuzzy deterioration rate under permissible delay in payments

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  • Antara Kundu
  • Tripti Chakrabarti

Abstract

A production lot-size inventory model is developed with finite production rate, fuzzy deterioration and demand rate under permissible delay in payments. Here it is assumed that the initial demand rate of ramp-type demand and the deterioration rate are uncertain in fuzzy sense i.e., imprecise in nature. The initial demand rate and deterioration rate are taken as triangular fuzzy number. Using α-cut for defuzzification, the total variable cost per unit time is derived. The multi-objective model is solved using Global Criteria Method and is illustrated with a numerical example. Sensitivity analysis has been made for different values of α.

Suggested Citation

  • Antara Kundu & Tripti Chakrabarti, 2011. "A production lot-size model with Fuzzy-Ramp type demand and fuzzy deterioration rate under permissible delay in payments," International Journal of Mathematics in Operational Research, Inderscience Enterprises Ltd, vol. 3(5), pages 524-540.
    • Handle: RePEc:ids:ijmore:v:3:y:2011:i:5:p:524-540
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    Cited by:

    1. 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.

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