Title: A closed loop supply chain game between a supplier and a manufacturer in a two-stage scenario

Authors: Rabindranath Bhattacharya

Addresses: Chennai Business School, Velachery, Chennai 600042, India

Abstract: Tier-I supplier after collection transfers a portion of external return to their supplier in a reverse supply chain in this paper. Supplier derives benefit out of refurbishing of returns. Three scenarios - centralised, decentralised and cooperative - were considered for a two-stage model. Nonlinear unconstrained maximising profitability equations, with normally distributed acquisition prices and deterministic demand were formulated. Solving these for first two models indicated the extent of drop in profit of a decentralised model compared to centralised model. Analysis of cooperative model, based on the results achieved, helps find optimal bounds of transfer and acquisition prices. If both members operate within zone of cooperation, each member earns more profit compared to that in decentralised scenario and overall profit equals centralised one. Study highlights on the decision regarding acquisition price charged by manufacturer for return and transfer price charged by supplier for new product. Decision can be viewed as a contract to arrive at a win-win situation.

Keywords: closed loop supply chains; CLSC; graded returns; transfer prices; acquisition prices; nonlinear optimisation; normal distribution; cooperation zone; reverse logistics; supply chain management; SCM; new products; product returns; centralised models; decentralised models; cooperative models.

DOI: 10.1504/IJLSM.2016.075209

International Journal of Logistics Systems and Management, 2016 Vol.23 No.4, pp.445 - 475

Received: 10 Sep 2014
Accepted: 23 Nov 2014
Published online: 08 Mar 2016 *

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