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

IF 1.8 3区数学 Q1 MATHEMATICS, APPLIED

Mathematical Methods in the Applied Sciences Pub Date : 2025-07-04 DOI:10.1002/mma.11183

Partha Halder, Rajan Mondal, Goutam Mandal, Asoke Kumar Bhunia

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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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部分积压短缺条件下具有信用期和价格依赖需求的两仓库恶化库存模型

本文研究了考虑两级贸易信用额度的变质物品双存储库存模型。顾客的需求取决于商品的销售价格和零售商提供的信用期限。此外，在库存情况下，物品的劣化率是恒定的，但不同仓库的物品劣化率是不同的。根据供应商提供给零售商的信用期限，可能出现三种不同的情景，并对其中的三种情景进行了详细的讨论。通过三种基于锦标赛的混合算法（锦标赛差分进化[TDE]，锦标赛教学学习优化[TTLBO]和锦标赛RAO-3算法）解决了相应的优化问题。最后，通过算例验证了所提模型的可行性。最后，借助灵敏度实验研究了不同系统参数对最优策略的影响，并用图形表示了其影响。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Mathematical Methods in the Applied Sciences 数学-应用数学

CiteScore

4.90

自引率

6.90%

发文量

798

审稿时长

6 months

期刊介绍： Mathematical Methods in the Applied Sciences publishes papers dealing with new mathematical methods for the consideration of linear and non-linear, direct and inverse problems for physical relevant processes over time- and space- varying media under certain initial, boundary, transition conditions etc. Papers dealing with biomathematical content, population dynamics and network problems are most welcome. Mathematical Methods in the Applied Sciences is an interdisciplinary journal: therefore, all manuscripts must be written to be accessible to a broad scientific but mathematically advanced audience. All papers must contain carefully written introduction and conclusion sections, which should include a clear exposition of the underlying scientific problem, a summary of the mathematical results and the tools used in deriving the results. Furthermore, the scientific importance of the manuscript and its conclusions should be made clear. Papers dealing with numerical processes or which contain only the application of well established methods will not be accepted. Because of the broad scope of the journal, authors should minimize the use of technical jargon from their subfield in order to increase the accessibility of their paper and appeal to a wider readership. If technical terms are necessary, authors should define them clearly so that the main ideas are understandable also to readers not working in the same subfield.