Title: A two-echelon supply chain model with deterioration and stock-dependent demand via forward and backward stocking policies

Authors: M. Ganesh Kumar; R. Uthayakumar

Addresses: Department of Mathematics, School of Engineering, Amrita Vishwa Vidyapeetham, Coimbatore, 641112, Tamil Nadu, India ' Department of Mathematics, The Gandhigram Rural Institute (Deemed to be University), Gandhigram, 624 302, Tamilnadu, India

Abstract: We have developed an integrated inventory model for deteriorating items in a two-echelon supply chain. In this model, we have assumed that the vendor produces a single product at a constant rate and transferred it in equal batches to buyer's warehouse. Some of the products are presented to the customer in the buyer display area and the demand is assumed to be positively dependent on the products displayed. Due to deterioration, the vendor incurs a warranty cost for each deteriorated item. We compared the total profit for both forward and backward stock policy, and we showed that the holding cost decreases as the stock moves downstream, the vendor has to adhere to the forward stock policy. The aim is to determine the number of deliveries needed to transfer, lot size such that the average profit of the system attains its maximum. Numerical examples are provided for illustrating the model.

Keywords: discrete optimisation; inventory control; lot sizing; supply chain; stock dependent demand; warehouse constrain.

DOI: 10.1504/IJDSDE.2022.123412

International Journal of Dynamical Systems and Differential Equations, 2022 Vol.12 No.2, pp.183 - 199

Accepted: 10 Jul 2020
Published online: 20 Jun 2022 *

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