The inventory model for optimal replenishment policy with deterioration and various interest rates: two levels permissible delay in payment strategy

Here, I developed an 'EOQ' model for the deteriorating items considering the price and time-dependent ramp-type demand function. I considered two rates for interest charged and discussed four different possibilities according to the length of the time slots: 1) both the rates lie in the growing phase; 2) one lies in the growing, and another lies in the constant phase. Permissible delay in payment provides an opportunity for extra sales, which increases revenue for suppliers and retailers. Suitable numerical examples are provided to demonstrate the obtained results. The comparison of models is presented considering permissible delay and without permissible delay; our results highlight higher profit to retailers in case of permissible delay. Then, sensitivity analysis is performed, and its implication is discussed from a managerial perspective.

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Publication Details

Journal
International Journal of Mathematics in Operational Research
Published
2025-01-01
DOI
https://doi.org/10.1504/ijmor.2025.147871
Primary Topic
Supply Chain and Inventory Management
Type
article
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article

The inventory model for optimal replenishment policy with deterioration and various interest rates: two levels permissible delay in payment strategy

Jitendra Kaushik
International Journal of Mathematics in Operational Research
Supply Chain and Inventory Management
article

The inventory model for optimal replenishment policy with deterioration and various interest rates: two levels permissible delay in payment strategy

Jitendra Kaushik
article en

Abstract

Here, I developed an 'EOQ' model for the deteriorating items considering the price and time-dependent ramp-type demand function. I considered two rates for interest charged and discussed four different possibilities according to the length of the time slots: 1) both the rates lie in the growing phase; 2) one lies in the growing, and another lies in the constant phase. Permissible delay in payment provides an opportunity for extra sales, which increases revenue for suppliers and retailers. Suitable numerical examples are provided to demonstrate the obtained results. The comparison of models is presented considering permissible delay and without permissible delay; our results highlight higher profit to retailers in case of permissible delay. Then, sensitivity analysis is performed, and its implication is discussed from a managerial perspective.

International Journal of Mathematics in Operational ResearchVol. 31(3)
MIT Art, Design and Technology University (IN)
Openalex Percentile: Top 66%
Supply Chain and Inventory Management
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The inventory model for optimal replenishment policy with deterioration and various interest rates: two levels permissible delay in payment strategy — Jitendra Kaushik · International Journal of Mathematics in Operational Research (2025) | TGRS Research Map | TGRS