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An EPQ Model for Deteriorating Items With Imperfect Production, Two Types of Inspection Errors and Rework Under Complete Backordering

Author

Listed:
  • Chayanika Rout

    (Department of Mathematics, Indian Institute of Technology Kharagpur, Kharagpur, India)

  • Debjani Chakraborty

    (Department of Mathematics, Indian Institute of Technology Kharagpur, Kharagpur, India)

  • Adrijit Goswami

    (Department of Mathematics, Indian Institute of Technology Kharagpur, Kharagpur, India)

Abstract

This paper presents an EPQ model which illustrates imperfect production and imperfect inspection processes for items that are subject to a constant rate of deterioration. The model considers two types of inspection errors, namely, Type I error of falsely screening out a proportion of nondefects, thereby passing them on for rework and Type II error of falsely not screening out a proportion of defects, thus selling those to customers which results in defect sales returns. The screened and returned items are then reworked and the proportion that could not be reworked successfully is scrapped. Shortages are allowed and are completely backlogged. Finally, we calculate the optimal production lot size and the optimal backordering quantity in order to minimize the total inventory cost per unit time. A numerical example is also considered to exemplify the obtained theoretical results which is followed by the complete sensitivity analysis of the involved parameters for even better managerial insights.

Suggested Citation

  • Chayanika Rout & Debjani Chakraborty & Adrijit Goswami, 2020. "An EPQ Model for Deteriorating Items With Imperfect Production, Two Types of Inspection Errors and Rework Under Complete Backordering," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 22(02), pages 1-18, June.
    • Handle: RePEc:wsi:igtrxx:v:22:y:2020:i:02:n:s0219198920400113
    DOI: 10.1142/S0219198920400113
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    Cited by:

    1. Dharmendra Yadav & Umesh Chand & Ruchi Goel & Biswajit Sarkar, 2023. "Smart Production System with Random Imperfect Process, Partial Backordering, and Deterioration in an Inflationary Environment," Mathematics, MDPI, vol. 11(2), pages 1-20, January.

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