ISSN (O): 2584-2617Frequency: MonthlyLanguages: English, Hindi and other languagesDOI Prefix: 10.62796
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An Inventory Model with Partial Backlog for Declining Items with Varying Selling and Purchasing Prices

Dr. Ravendra Kumar Corresponding Author

Department of Mathematics, V.R.A.L. Government Girls Degree College, Bareilly, Uttar Pradesh, India

JournalPIJST
Volume / Issue1 / 2
Pages72–91
Published29 Feb 2024
Paper IDPIJST12F24007
Views / Downloads1 / 0

Article summary

Abstract

Selling price and purchase cost typically vary with economic conditions in today’s competitive markets. For a business to be profitable, both the selling price and the purchasing cost are essential. As a result, I expand the inventory model Teng and Yang (2004) established in this study to incorporate the ability for both the selling price and the purchasing cost to fluctuate over the course of a defined time horizon between replenishment cycles. The goal is to determine the best pricing strategy and replenishment schedule in order to maximise profit. The existence, uniqueness, and global optimality of the suggested solution are guaranteed by the conditions that lead to a maximising solution. Some theoretical results and an effective approach for solving the problem are offered. Finally,numerical examples for illustration and sensitivity analysis for managerial decision making arealso performed.

Keywords

Partial backloginventorydeteriorating itemvarying price

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How to cite this article

Ravendra Kumar (2024). An Inventory Model with Partial Backlog for Declining Items with Varying Selling and Purchasing Prices. Procedure International Journal of Science and Technology, 1(2), 72–91. https://www.pijst.com/article/pijst12f24007/an-inventory-model-with-partial-backlog-for-declining-items-with-varying-selling-and-purchasing-prices

Ravendra Kumar. “An Inventory Model with Partial Backlog for Declining Items with Varying Selling and Purchasing Prices.” Procedure International Journal of Science and Technology, vol. 1, no. 2, 2024, pp. 72–91. https://www.pijst.com/article/pijst12f24007/an-inventory-model-with-partial-backlog-for-declining-items-with-varying-selling-and-purchasing-prices

Ravendra Kumar. “An Inventory Model with Partial Backlog for Declining Items with Varying Selling and Purchasing Prices.” Procedure International Journal of Science and Technology 1, no. 2 (2024): 72–91. https://www.pijst.com/article/pijst12f24007/an-inventory-model-with-partial-backlog-for-declining-items-with-varying-selling-and-purchasing-prices

Ravendra Kumar (2024) ‘An Inventory Model with Partial Backlog for Declining Items with Varying Selling and Purchasing Prices’, Procedure International Journal of Science and Technology, 1(2), pp. 72–91. Available at: https://www.pijst.com/article/pijst12f24007/an-inventory-model-with-partial-backlog-for-declining-items-with-varying-selling-and-purchasing-prices.

Ravendra Kumar, “An Inventory Model with Partial Backlog for Declining Items with Varying Selling and Purchasing Prices,” Procedure International Journal of Science and Technology, vol. 1, no. 2, pp. 72–91, 2024. https://www.pijst.com/article/pijst12f24007/an-inventory-model-with-partial-backlog-for-declining-items-with-varying-selling-and-purchasing-prices.

Ravendra Kumar. An Inventory Model with Partial Backlog for Declining Items with Varying Selling and Purchasing Prices. Procedure International Journal of Science and Technology. 2024;1(2):72–91. https://www.pijst.com/article/pijst12f24007/an-inventory-model-with-partial-backlog-for-declining-items-with-varying-selling-and-purchasing-prices.

Ravendra Kumar. An Inventory Model with Partial Backlog for Declining Items with Varying Selling and Purchasing Prices. Procedure International Journal of Science and Technology 2024, 1 (2), 72–91. https://www.pijst.com/article/pijst12f24007/an-inventory-model-with-partial-backlog-for-declining-items-with-varying-selling-and-purchasing-prices.

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Published29 Feb 2024
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Copyright © 2024 Author(s). This work is published by Procedure International Journal of Science and Technology under the Creative Commons Attribution-NonCommercial 4.0 International. Authors retain copyright and grant the journal the right of first publication.

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References

Showing first 3 of 12 references.

  1. H. L. Lee, V. Padmanabhan, T. A. Taylor, and S. Whang, “Price protection in the personal computer industry,” Management Science, vol. 46, no. 4, pp. 467– 482, 2000.
  2. J. Heizer and B. Render, Operations Management, Prentice-Hall, Upper Saddle River, NJ, USA, 6th edition, 2000.
  3. P. L. Abad, “Optimal pricing and lot-sizing under conditions of perishability and partial backordering,”Management Science, vol. 42, no. 8, pp. 1093–1104, 1996.

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