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A fuzzy multi-item production model with reliability and flexibility under limited storage capacity with deterioration via geometric programming

Author

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  • Dharmendra Yadav
  • Shivraj Pundir
  • Rachna Kumari

Abstract

A multi-item EPQ model for deteriorating items is built-up with limited storage space and with flexibility and reliability of production process. Here, production rate for the items is depends on the demand and items deteriorate at constant rates. Due to high rent in market place, storage space is considered limited and imprecise in nature. Inventory related costs, storage space and other parameters are imprecise and taken as it triangular fuzzy number. We solve this inventory decision problem using Modified Geometric Programming (MGP) method. Following the theoretical treatment, we provide a numerical example to demonstrate that MGP has potential as a valuable analytical tool for researchers. At the end some sensitivity analysis with different parameters are made.

Suggested Citation

  • Dharmendra Yadav & Shivraj Pundir & Rachna Kumari, 2011. "A fuzzy multi-item production model with reliability and flexibility under limited storage capacity with deterioration via geometric programming," International Journal of Mathematics in Operational Research, Inderscience Enterprises Ltd, vol. 3(1), pages 78-98.
    • Handle: RePEc:ids:ijmore:v:3:y:2011:i:1:p:78-98
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    Citations

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    Cited by:

    1. Majumder, P. & Bera, U.K. & Maiti, M., 2016. "An EPQ model for two-warehouse in unremitting release pattern with two-level trade credit period concerning both supplier and retailer," Applied Mathematics and Computation, Elsevier, vol. 274(C), pages 430-458.
    2. Pinky Saxena & S. R. Singh & Isha Sangal, 2016. "A Multi Item Integrated Inventory Model with Reparability and Manufacturing of Fresh Products," Modern Applied Science, Canadian Center of Science and Education, vol. 10(7), pages 1-74, July.

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