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A Study of a Two Storage Single Product Inventory System with Ramp Type Demand, N-Phase Prepayment and Purchase for Exigency

Author

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  • Jagadeesan Viswanath

    (Vel Tech Rangarajan Dr. Sagunthala R&D Institute of Science and Technology, Chennai 600062, India)

  • Rajamanickam Thilagavathi

    (Vel Tech Rangarajan Dr. Sagunthala R&D Institute of Science and Technology, Chennai 600062, India)

  • Krishnasamy Karthik

    (Vel Tech Rangarajan Dr. Sagunthala R&D Institute of Science and Technology, Chennai 600062, India)

  • Miroslav Mahdal

    (Department of Control Systems and Instrumentation, Faculty of Mechanical Engineering, VSB-Technical University of Ostrava, 17. Listopadu 2172/15, 708 00 Ostrava, Czech Republic)

Abstract

This model considers a two-warehouse inventory system of deteriorated items with ramp-type demand and a constant rate of deterioration. It is maintained a rental warehouse ( R W ) of infinite capacity to load the excess items of replenished goods after filling the items of finite capacity in the own warehouse ( O W ). Retailers are encouraged to opt for the prepayment option of paying their purchase cost in equal installments prior to the delivery of the ordered items with a considerable discount, which will ensure the purchase guarantee of their orders. The slotted backlog interval of the stock out period is handled in two different ways to retain the customers and ease their impatience. Customers in the first slot of the stock out period are satisfied by the emergency purchases from local suppliers with high purchasing costs to avoid losing customers. Customers in the next slot are satisfied immediately after the next replenishment point. Essential measures of the system are derived: optimal ordering quantities from both regular and local suppliers; replenishment cycle length; and a partitioned backlog interval. A numerical example is given along with the optimal solutions for a particular environment with sensitive analysis in order to validate the model’s efficacy.

Suggested Citation

  • Jagadeesan Viswanath & Rajamanickam Thilagavathi & Krishnasamy Karthik & Miroslav Mahdal, 2023. "A Study of a Two Storage Single Product Inventory System with Ramp Type Demand, N-Phase Prepayment and Purchase for Exigency," Mathematics, MDPI, vol. 11(7), pages 1-17, April.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:7:p:1728-:d:1115914
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    References listed on IDEAS

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    Cited by:

    1. Hui-Ling Yang & Chun-Tao Chang & Yao-Ting Tseng, 2024. "Optimal Replenishment Strategy for a High-Tech Product Demand with Non-Instantaneous Deterioration under an Advance-Cash-Credit Payment Scheme by a Discounted Cash-Flow Analysis," Mathematics, MDPI, vol. 12(19), pages 1-25, October.
    2. Viswanath Jagadeesan & Thilagavathi Rajamanickam & Vladimira Schindlerova & Sreelakshmi Subbarayan & Robert Cep, 2023. "A Study on Two-Warehouse Inventory Systems with Integrated Multi-Purpose Production Unit and Partitioned Rental Warehouse," Mathematics, MDPI, vol. 11(18), pages 1-24, September.

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