A Two‐Warehouse Deteriorating Inventory Model With Credit Period and Price‐Dependent Demand Under Partially Backlogged Shortages

ABSTRACT This work is the demonstration of a two‐storage inventory model for deteriorating items, considering bilevel trade credit facility. The customers' demand is dependent on selling price of the item and credit period offered by the retailer. Further, the items are deteriorating at a constant rate during stock‐in situation, but the deterioration rates of the items in different warehouse are different. According to the credit period provided by the supplier to retailer, three distinct scenarios may arise among which are discussed in detail. The corresponding optimization problems are solved with the help of three tournament‐based hybrid algorithms (tournament differential evolution [TDE], tournament teaching learning‐based optimization [TTLBO], and tournament RAO‐3 algorithms). Further, the feasibility of the proposed model is validated by considering a numerical example. Finally, the impacts of different system parameters on optimal policy are studied with the help of sensitivity experiment, and its impacts are shown graphically.

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Publication Details

Journal
Mathematical Methods in the Applied Sciences
Published
2025-07-04
DOI
https://doi.org/10.1002/mma.11183
Citations
1
Primary Topic
Supply Chain and Inventory Management
Type
article
Field-Weighted Citation Impact
2.28
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article

A Two‐Warehouse Deteriorating Inventory Model With Credit Period and Price‐Dependent Demand Under Partially Backlogged Shortages

Goutam Mandal, Rajan Mondal, Ashok Kumar, Partha Halder
1 citations
Mathematical Methods in the Applied Sciences
Supply Chain and Inventory Management
2.28
article

A Two‐Warehouse Deteriorating Inventory Model With Credit Period and Price‐Dependent Demand Under Partially Backlogged Shortages

Goutam Mandal, Rajan Mondal, Ashok Kumar, Partha Halder
article en
1 citations

Abstract

ABSTRACT This work is the demonstration of a two‐storage inventory model for deteriorating items, considering bilevel trade credit facility. The customers' demand is dependent on selling price of the item and credit period offered by the retailer. Further, the items are deteriorating at a constant rate during stock‐in situation, but the deterioration rates of the items in different warehouse are different. According to the credit period provided by the supplier to retailer, three distinct scenarios may arise among which are discussed in detail. The corresponding optimization problems are solved with the help of three tournament‐based hybrid algorithms (tournament differential evolution [TDE], tournament teaching learning‐based optimization [TTLBO], and tournament RAO‐3 algorithms). Further, the feasibility of the proposed model is validated by considering a numerical example. Finally, the impacts of different system parameters on optimal policy are studied with the help of sensitivity experiment, and its impacts are shown graphically.

Mathematical Methods in the Applied SciencesVol. 48(15)
University of Burdwan (IN), Abasaheb Garware College (IN)
Openalex Percentile: Top 11%
Supply Chain and Inventory Management
2.28
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