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An imperfect production-inventory model for reworked items with advertisement, time and price dependent demand for non-instantaneous deteriorating item using genetic algorithm

Author

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  • Pankaj Narang
  • Pijus Kanti De

Abstract

This article deals with an imperfect production inventory system with advertisement, price, and time-dependent demand for a non-instantaneous deteriorating item. Every manufacturing company aims to produce only perfect quality items, but this is not possible in reality. Firstly, the manufacturing system starts producing perfect items, but after some time, it starts producing imperfect items also, because of the manufacturing machine's long run. Perfect products are ready to sell, and some percentages of imperfect products are reworked to become perfect, and the remaining defective products are sold at a cheaper price. An efficiency cost is included to maintain the system efficiency. Considering these conditions, we developed a profit function. This profit function is highly nonlinear. Therefore, we employed a real coded genetic algorithm to obtain the optimum values of production rate, selling price of the perfect quality item, selling price of imperfect item, and inverse efficiency factor to maximise the profit. The model is demonstrated by using numerical example followed by sensitivity analysis.

Suggested Citation

  • Pankaj Narang & Pijus Kanti De, 2023. "An imperfect production-inventory model for reworked items with advertisement, time and price dependent demand for non-instantaneous deteriorating item using genetic algorithm," International Journal of Mathematics in Operational Research, Inderscience Enterprises Ltd, vol. 24(1), pages 53-77.
    • Handle: RePEc:ids:ijmore:v:24:y:2023:i:1:p:53-77
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    Cited by:

    1. Dana Marsetiya Utama & Imam Santoso & Yusuf Hendrawan & Wike Agustin Prima Dania, 2025. "A sustainable production-inventory model with CO2 emission, electricity and fuel consumption under quality degradation and stochastic demand: a case study in the agri-food industry," Environment, Development and Sustainability: A Multidisciplinary Approach to the Theory and Practice of Sustainable Development, Springer, vol. 27(4), pages 9569-9608, April.
    2. Madhusudan Dolai & Shyamal Kumar Mondal, 2024. "An imperfect production model with shortage and screening constraint under time varying demand," 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. 15(3), pages 1183-1202, March.

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