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.
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.
No separate funding declaration was available in the verified source record; the journal policy applies.
Conflict of Interest
No separate conflict-of-interest declaration was available in the verified source record; the journal policy applies.
Ethical Approval
No separate ethical approval statement was available in the verified source record; the article and journal policies apply.
Data Availability
No separate data-availability statement was available in the verified source record; contact the author(s) or editorial office where appropriate.
Author Contributions
No separate author-contribution statement was available in the verified source record; authorship follows the published article record.
AI-use Declaration
No separate AI-use declaration was available in the verified source record; the journal AI-use policy applies.
Editorial record
Publisher's Note
The views, opinions and conclusions expressed in this article are those of the author(s). Publication does not imply endorsement by the journal, editorial board or publisher. Responsibility for accuracy, originality and integrity remains with the author(s). Readers should independently evaluate and verify information before application or citation.
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.
J. Heizer and B. Render, Operations Management, Prentice-Hall, Upper Saddle River, NJ, USA, 6th edition, 2000.
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.
J.-T. Teng, H.-J. Chang, C.-Y. Dye, and C.-H. Hung, “An optimal replenishment policy fordeteriorating items with time-varying demand and partial backlogging,” Operations Research Letters,vol. 30, no. 6, pp. 387–393, 2002.
H.-J. Chang, J.-T. Teng, L.-Y. Ouyang, and C.-Y. Dye, “Retailer’s optimal pricing and lot-sizing policiesfor deteriorating items with partial backlogging,” European Journal of Operational Research, vol. 168, no.1, pp. 51–64, 2006.
J.-T. Teng and H.-L. Yang, “Deterministic inventory lot-size models with timevarying demand andcost under generalized holding costs,” International Journal of Information andManagement Sciences, vol.18, no. 2, pp. 113–125, 2007.
P. L. Abad, “Optimal price and order size under partial backordering incorporating shortage,backorder and lost sale costs,” International Journal of Production Economics, vol. 114, no. 1, pp. 179–186, 2008.
S. S. Sana, “Optimal selling price and lotsize with time varying deterioration and partial backlogging,”Applied Mathematics and Computation, vol. 217, no. 1, pp. 185–194, 2010.
M. Das Roy, S. S. Sana, and K. Chaudhuri, “An optimal shipment strategy for imperfect items in astock-out situation,” Mathematical and Computer Modelling, vol. 54, no. 9-10, pp. 2528–2543, 2011.
M. Das Roy, S. S. Sana, and K. Chaudhuri, “An economic order quantity model of imperfect qualityitems with partial backlogging,” International Journal of Systems Science. Principles and Applications ofSystems and Integration, vol. 42, no. 8, pp. 1409–1419, 2011.
J. T. Teng and H. L. Yang, “Deterministic economic order quantity models (Online) with partial backloggingwhen demand and cost are fluctuating with time,” Journal of the Operational Research Society, vol. 55,no. 5, pp. 495–503, 2004.
R. Bellman, Dynamic Programming, Princeton University Press, Princeton, NJ, USA, 1957.