Title: Coordinating a two-echelon supply chain with price and inventory level dependent demand, time dependent holding cost, and partial backlogging

Authors: B.C. Giri; S. Bardhan

Addresses: Department of Mathematics, Jadavpur University, Kolkata – 700032, India ' Department of Mathematics, Jadavpur University, Kolkata – 700032, India

Abstract: Coordination between two participating entities in a supply chain is very essential to sustain in the highly competitive business environment. This paper attempts to coordinate a single manufacturer single retailer supply chain in which the end customers' demand is assumed to be dependent on the retail price as well as instantaneous on-hand inventory level of the retailer. Both the production rate of the manufacturer and the holding cost of the retailer are assumed to vary with time. Shortages are allowed to occur and are partially backlogged. The wholesale price only contract is implemented to have insights of the retailer's individual strategy. The centralised model is studied as the benchmark case, and a revenue sharing contract is taken as coordination mechanism, aiming at enhancing the total average profit of the chain as well as paying both the channel members better off. A numerical example is given to illustrate the developed model.

Keywords: two-echelon supply chains; price dependent demand; inventory dependent demand; time dependent holding cost; revenue sharing; partial backlogging; supply chain coordination; supply chain management; SCM; retail price; inventory level; wholesale price.

DOI: 10.1504/IJMOR.2016.076782

International Journal of Mathematics in Operational Research, 2016 Vol.8 No.4, pp.406 - 423

Received: 11 Jul 2014
Accepted: 11 Sep 2014
Published online: 01 Jun 2016 *

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