<p>This paper develops an inventory model for deteriorating items by incorporating preservation strategies to maximize overall profit. Preservation technology reduces the deterioration rate, with investment depending mainly on the initial deterioration level rather than the selling price. Here the model is considered for reducing the deterioration over the preservation technique to maximise the total profit. The problem here is discussed with and without preservation. The model also yielded the highest profit with preservation as the optimal outcome. Choosing of preservation technology in the inventory control makes the reduce loses and also maintaining of product quality. By lowering deterioration, retailers can design an effective inventory policy that improves profitability. The proposed model simultaneously optimizes cycle length, selling price, and the portion of profit invested in preservation technology. Two scenarios are considered: (a) a partial backordering inventory model with preservation technology, and (b) a partial backordering inventory model without preservation measures. Transportation costs and emissions are also integrated into the analysis, reflecting sustainability concerns. To address uncertainty in system parameters, pentagonal fuzzy numbers are employed, ensuring robust decision-making. The model demonstrates that maximum profit is achievable under the preservation scenario. A numerical example validates the approach, and sensitivity analysis highlights the influence of key parameters such as deterioration rate, preservation technique and backordering level on total profit. And comparing of the sensitivity analysis results gives a best out comes of increasing total profit for n variations. This study bridges the research gap by presenting a practical framework for integrating preservation strategies into deteriorating inventory systems, providing valuable insights for retailers seeking both economic and environmental benefits.</p>

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A Sustainable Preservation Inventory Model of Deteriorating Items with Emission and Partial Backordering in Pentagonal Fuzzy Number

  • C. Sugapriya,
  • P. Saranyaa,
  • D. Nagarajan

摘要

This paper develops an inventory model for deteriorating items by incorporating preservation strategies to maximize overall profit. Preservation technology reduces the deterioration rate, with investment depending mainly on the initial deterioration level rather than the selling price. Here the model is considered for reducing the deterioration over the preservation technique to maximise the total profit. The problem here is discussed with and without preservation. The model also yielded the highest profit with preservation as the optimal outcome. Choosing of preservation technology in the inventory control makes the reduce loses and also maintaining of product quality. By lowering deterioration, retailers can design an effective inventory policy that improves profitability. The proposed model simultaneously optimizes cycle length, selling price, and the portion of profit invested in preservation technology. Two scenarios are considered: (a) a partial backordering inventory model with preservation technology, and (b) a partial backordering inventory model without preservation measures. Transportation costs and emissions are also integrated into the analysis, reflecting sustainability concerns. To address uncertainty in system parameters, pentagonal fuzzy numbers are employed, ensuring robust decision-making. The model demonstrates that maximum profit is achievable under the preservation scenario. A numerical example validates the approach, and sensitivity analysis highlights the influence of key parameters such as deterioration rate, preservation technique and backordering level on total profit. And comparing of the sensitivity analysis results gives a best out comes of increasing total profit for n variations. This study bridges the research gap by presenting a practical framework for integrating preservation strategies into deteriorating inventory systems, providing valuable insights for retailers seeking both economic and environmental benefits.