Impact of Learning on Ordering Policy for Deteriorating Imperfect Quality Items with Promotion Dependent Demand, Partial Trade-Credit and Shortages

A Ruba Priyadharshini; C Jayasankari; R Uthayakumar

doi:10.17485/IJST/v17sp1.143

Article

Impact of Learning on Ordering Policy for Deteriorating Imperfect Quality Items with Promotion Dependent Demand, Partial Trade-Credit and Shortages

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Indian Journal of Science and Technology

DOI: 10.17485/IJST/v17sp1.143

Year: 2024, Volume: 17, Issue: Special Issue 1, Pages: 21-33

Original Article

Impact of Learning on Ordering Policy for Deteriorating Imperfect Quality Items with Promotion Dependent Demand, Partial Trade-Credit and Shortages

A Ruba Priyadharshini^1*, C Jayasankari¹, R Uthayakumar²

¹Research Scholar, Department of Mathematics, The Gandhigram Rural Institute- Deemed to be University, Gandhigram, 624 302, Tamil Nadu, India
²Professor, Department of Mathematics, The Gandhigram Rural Institute- Deemed to be University, Gandhigram, 624 302, Tamil Nadu, India

*Corresponding Author
Email: [email protected]

Received Date:29 August 2023, Accepted Date:05 March 2024, Published Date:25 May 2024

This work is licensed under a Creative Commons Attribution 4.0 International License.

Abstract

Objective: The objective of the developed inventory model is to find the optimal solution for the retailer, while performing inspection for the defectives, and also to offer partial credit periods, where shortages are allowed. Methods: To derive the required solution which benefits the retailer, the partial derivatives method for the decision variables where used and to solve the complicated differential equations the necessary and sufficient conditions has been derived and the theorem and its proofs are given. Findings: In this research findings, the optimal credit period policy and promotional effort dependent demand pattern that offers more profit to the retailer, provided with inspection policy for finding defective items in the lot. Shortages are allowed and completely backordered. Numerical examples and sensitivity analysis are performed to verify the reliability of the developed model. Novelty: This study presents a new model wherein the retailer offers credit period and with shortages that will apt the real life situation as the model developed here is for deteriorating items, which is inevitable to maintain the perfect system.

Keywords: MultiEchelon Inventory Model, Sustainability, Shortages, Credit Period Offers, Learning In Inspection

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Copyright

© 2024 Priyadharshini et al. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited. Published By Indian Society for Education and Environment (iSee)