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A production inventory model for non-instantaneous deteriorating items with two-phase production period, stock-dependent demand and shortages

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  • Mustapha Lawal Malumfashi
  • Majid Khan Majahar Ali

Abstract

In this paper, a production inventory model for non-instantaneous deteriorating items with two-phase production periods are developed. The production rates of the two different production periods differ while the demand within such periods are the same and constant. Also, the demand within the demanding period before deterioration starts is assumed to be stock-dependent while that of within deterioration and shortage periods are constant. Shortages are allowed and completely backlogged. A theorem and lemmas were framed to characterise the optimality of the model developed and a numerical experiment is conducted to show the applicability of the model. Finally, sensitivity analysis is carried out to demonstrate the effects of change of some system parameters on the optimal solutions obtained during the numerical experiment and some suggestions and recommendations are presented based on the results obtained.

Suggested Citation

  • Mustapha Lawal Malumfashi & Majid Khan Majahar Ali, 2023. "A production inventory model for non-instantaneous deteriorating items with two-phase production period, stock-dependent demand and shortages," International Journal of Mathematics in Operational Research, Inderscience Enterprises Ltd, vol. 24(2), pages 173-193.
    • Handle: RePEc:ids:ijmore:v:24:y:2023:i:2:p:173-193
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    Cited by:

    1. M. L. Malumfashi & A.M. Asma & I. L. Kane & B. Babangida & T. A. Yusuf, 2024. "Production System for Delayed Deterioration Inventories with Two-Level Production Rate, Stock-Dependent Demand Rate and Linear Holding Cost Under Trade Credit Policy," International Journal of Research and Innovation in Applied Science, International Journal of Research and Innovation in Applied Science (IJRIAS), vol. 9(1), pages 81-104, January.

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