A Mathematical Imperfect Production inventory problem for perishable items considering two different warehouses under fuzzy environment

  • Unique Paper ID: 153506
  • Volume: 8
  • Issue: 7
  • PageNo: 330-339
  • Abstract:
  • This paper presents a mathematical framework to obtain a production model for perishable items with a learning effect in production cost. The study considers different demand rates at different. This model is along with the concept of two warehouses, where one is its own warehouse (OW) and the other is a rented warehouse (RW). The demand rate for RW is strictly increasing function of time which is exponential, and selling price of inventory in own warehouse in such a way that the producer gets the benefit and can build the according to his profit, also production rate is dependent on demand. Hethe re concept of shortage is also considered. In this model, we analyzed the changes in the total cost by taking item price and production time as a decision variable. The optimal solution has presented with the use of the centroid method with q- fuzzy number. A numericaexamplesle and sensitivity analyses of some parameters are provided to examine the impact on the optimal total cost of the system.

Copyright & License

Copyright © 2025 Authors retain the copyright of this article. This article is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

BibTeX

@article{153506,
        author = {Surendra Vikram Singh Padiyar and Neema Bora Padiyar and Deepti Joshi and Mamta Adhikari and Neelanjana},
        title = {A Mathematical Imperfect Production inventory problem for perishable items considering two different warehouses under fuzzy environment},
        journal = {International Journal of Innovative Research in Technology},
        year = {},
        volume = {8},
        number = {7},
        pages = {330-339},
        issn = {2349-6002},
        url = {https://ijirt.org/article?manuscript=153506},
        abstract = {This paper presents a mathematical framework to obtain a production model for perishable items with a learning effect in production cost. The study considers different demand rates at different. This model is along with the concept of two warehouses, where one is its own warehouse (OW) and the other is a rented warehouse (RW). The demand rate for RW is strictly increasing function of time which is exponential, and selling price of inventory in own warehouse in such a way that the producer gets the benefit and can build the according to his profit, also production rate is dependent on demand. Hethe re concept of shortage is also considered. In this model, we analyzed the changes in the total cost by taking item price and production time as a decision variable. The optimal solution has presented with the use of the centroid method with q- fuzzy number. A numericaexamplesle and sensitivity analyses of some parameters are provided to examine the impact on the optimal total cost of the system.},
        keywords = {Two-warehouses, imperfect production, shortage, deterioration, learning effect},
        month = {},
        }

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