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A location-inventory-pricing model in a supply chain distribution network with price-sensitive demands and inventory-capacity constraints

Affiliation:	1. School of Industrial Engineering, College of Engineering, University of Tehran, Tehran, Iran;2. Department of Operations Management & Strategy, School of Management, State University of New York at Buffalo, Buffalo, New York, USA;1. Department of Industrial Engineering, Center of excellence in optimization and advanced manufacturing systems, Iran University of Science and Technology, Tehran, Iran;2. School of Railway Engineering, Iran University of Science and Technology, Tehran, Iran;1. Department of Industrial Engineering and Management Systems, Amirkabir University of Technology, Tehran, Iran;2. Department of Business and Economics, University of Southern Denmark, Campusvej 55, Odense, Denmark;1. Department of Industrial Engineering, Anadolu University, End 201, Eskisehir, Turkey;2. Department of Industrial Engineering, Koc University, Sariyer, Istanbul, Turkey;1. Department of Industrial Engineering, Universidad Técnica Federico Santa María, Avenida España 1680, Valparaíso, Chile;2. Department of Electrical Engineering, Pontificia Universidad Católica de Chile, Avda. Vicuña Mackenna 4860, Santiago, Chile;3. Department of Industrial Engineering, Universidad de Chile, República 701, Santiago, Chile;1. Masdar Institute of Science and Technology, Abu Dhabi, United Arab Emirates;2. Henri Fayol Institute, École Nationale Supérieure des Mines de Saint-Étienne, France;3. Georgia Institute of Technology, Atlanta, GA 30332, USA

Abstract:	This paper presents a location-inventory-pricing model for designing the distribution network of a supply chain with price-sensitive demands and inventory-capacity constraints. The supply chain has market power and uses markup pricing. An efficient Lagrangian relaxation algorithm is proposed to solve the model. Our numerical study shows that by moderately increasing the number of possible values for pricing decisions, the model can be used to find near-optimal solutions of a similar location-inventory-pricing problem with continuous pricing decisions. The approach used here to incorporate pricing decisions can be applied to other supply-chain design and planning problems with price-sensitive demands.

Keywords:	Supply chain distribution network Lagrangian relaxation Location-inventory problem Market power and markup pricing Price-sensitive demands Profit maximization
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