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A fuzzy EOQ model for deteriorating items with imperfect quality using proportionate discount under learning effects

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  • Rojalin Patro
  • Milu Acharya
  • Mitali Madhusmita Nayak
  • Srikanta Patnaik

Abstract

The present paper analyses the impact of learning on optimal solution of inventory problems. The aim of the paper is to develop both crisp and fuzzy EOQ models for imperfect quality items under deterioration and analyse the effect of learning on holding cost, ordering cost and the number of defective items present in each lot and deal the fuzziness aspect of demand for the fuzzy model. In this paper, it is assumed that all received items are not of perfect type and after100% screening, imperfect items are dropped from the inventory and sold at an allowable proportionate discount. Due to the repetition of handling the system holding cost and ordering cost gradually decrease from one shipment to another. The optimal lot sizes of both crisp and fuzzy models are obtained by calculus method and the total profit functions for each model are also derived. The total profit function of the fuzzy model is defuzzified by using signed distance method. Numerical examples are provided to illustrate the developed models and sensitivity analysis is conducted to show the effect of number of shipments on the order quantity and the total profits of the models.

Suggested Citation

  • Rojalin Patro & Milu Acharya & Mitali Madhusmita Nayak & Srikanta Patnaik, 2018. "A fuzzy EOQ model for deteriorating items with imperfect quality using proportionate discount under learning effects," International Journal of Management and Decision Making, Inderscience Enterprises Ltd, vol. 17(2), pages 171-198.
    • Handle: RePEc:ids:ijmdma:v:17:y:2018:i:2:p:171-198
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    Citations

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    Cited by:

    1. Basim S. O. Alsaedi, 2024. "A Sustainable Supply Chain Model with a Setup Cost Reduction Policy for Imperfect Items under Learning in a Cloudy Fuzzy Environment," Mathematics, MDPI, vol. 12(10), pages 1-33, May.
    2. Basim S. O. Alsaedi & Marwan H. Ahelali, 2024. "A Sustainable Supply Chain Model with Low Carbon Emissions for Deteriorating Imperfect-Quality Items under Learning Fuzzy Theory," Mathematics, MDPI, vol. 12(8), pages 1-43, April.
    3. Javad Asadkhani & Hadi Mokhtari & Saman Tahmasebpoor, 2022. "Optimal lot-sizing under learning effect in inspection errors with different types of imperfect quality items," Operational Research, Springer, vol. 22(3), pages 2631-2665, July.
    4. Mahesh Kumar Jayaswal & Mandeep Mittal & Isha Sangal, 2021. "Ordering policies for deteriorating imperfect quality items with trade-credit financing under learning effect," 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. 12(1), pages 112-125, February.
    5. Basim S. O. Alsaedi & Osama Abdulaziz Alamri & Mahesh Kumar Jayaswal & Mandeep Mittal, 2023. "A Sustainable Green Supply Chain Model with Carbon Emissions for Defective Items under Learning in a Fuzzy Environment," Mathematics, MDPI, vol. 11(2), pages 1-36, January.
    6. Osama Abdulaziz Alamri, 2023. "A Supply Chain Model with Carbon Emissions and Preservation Technology for Deteriorating Items under Trade Credit Policy and Learning in Fuzzy," Mathematics, MDPI, vol. 11(13), pages 1-58, June.

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