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A surface response optimization model for EPQ system with imperfect production process under rework and shortage

Author

Listed:
  • Ahmed Abdel-Aleem

    (Assiut University)

  • Mahmoud A. El-Sharief

    (Assiut University)

  • Mohsen A. Hassan

    (Assiut University
    E-JUST University)

  • Mohamed G. El-Sebaie

    (Assiut University)

Abstract

Most research studies on the economic production quantity (EPQ) model considered that produced items are of perfect quality. On the other hand, real production systems have some product defects. Considering the imperfect items makes the inventory model more complex, and more difficult to solve analytically rather than it is time consuming. Therefore, an efficient approach like D-optimal response surface methodology (RSM) is required since heterogeneous combination of data can be modeled to generate response surfaces and obtain optimum decision parameters values. This paper solves the EPQ model with sales return, rework, shortage and scrap by RSM optimization technique in order to optimize the long run average cost function. ANOVA analysis of data obtained from the total cost RSM quadratic model has shown that the Model is significant according to F, “Prob > F” and p-values.

Suggested Citation

  • Ahmed Abdel-Aleem & Mahmoud A. El-Sharief & Mohsen A. Hassan & Mohamed G. El-Sebaie, 2017. "A surface response optimization model for EPQ system with imperfect production process under rework and shortage," OPSEARCH, Springer;Operational Research Society of India, vol. 54(4), pages 735-751, December.
    • Handle: RePEc:spr:opsear:v:54:y:2017:i:4:d:10.1007_s12597-017-0301-1
    DOI: 10.1007/s12597-017-0301-1
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    References listed on IDEAS

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    1. Chia-Nan Wang & Thanh-Tuan Dang & Ngoc-Ai-Thy Nguyen, 2020. "A Computational Model for Determining Levels of Factors in Inventory Management Using Response Surface Methodology," Mathematics, MDPI, vol. 8(8), pages 1-23, July.

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