Title: Two-echelon supply chain inventory model with variable lead time and ramp-type demand for deterioration item under bi-level credit period

Authors: Dipak Barman; Barun Das

Addresses: Department of Mathematics, Sidho-Kanho-Birsha University, Purulia-723104, India ' Department of Mathematics, Sidho-Kanho-Birsha University, Purulia-723104, India

Abstract: Here, a two-echelon supply chain inventory problem consisting of a vendor and a buyer is considered for a deteriorating item. In the system, the buyer receives an opportunity of trade credit from the vendor and simultaneously the buyer offers a credit period to the customers. The buyer's inventory model includes stochastic lead time following a normal distribution and the buyer sells the item to the customer with a more realistic ramp-type demand rate. The vendor produces the goods to maintain the supply to the buyer. The purpose of this study is to minimise the total cost for different sub-cases. The problem is optimised through the soft computing technique namely, genetic algorithm and different types of convexity has been tested here. Finally, this model is discussed with numerical examples.

Keywords: vendor-buyer integrated inventory system; stochastic lead time; ramp-type demand; deterioration; bi-level credit policy; genetic algorithm.

DOI: 10.1504/IJIR.2021.113816

International Journal of Inventory Research, 2021 Vol.6 No.1, pp.14 - 46

Received: 18 Jul 2019
Accepted: 01 Apr 2020
Published online: 31 Mar 2021 *

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