Optimal warehouse location and size under risk of failure

Abstract

We present an optimisation model for supply chain network design under risk of failure. The design parameters include a finite set of potential warehouse locations, a finite set of potential warehouse capacities, a set of branches with known demand for multiple products, a list of products available from each warehouse, and costs of land, building, processing and transportation. Each branch-product pair is assigned a primary and a secondary warehouse. If the primary warehouse fails, some portion of the demand will be supplied by a secondary warehouse. The major contribution of this paper is a novel method of scenarios and an algorithm to determine those scenarios, for the solution of instances of the optimisation model. The scenarios are novel in that they do not specify a subset of warehouses to be built, but rather they specify the number of warehouses of each capacity that are to be built. We give an upper bound on the number of scenarios, and the bound is linear in the difference between the largest and smallest failure probabilities. The effectiveness of the method of scenarios is demonstrated with its application to a case study of a Canadian company and to a fabricated example based in Europe.

Keywords:

• Supply chain network design
• failure risk
• method of scenarios
• multiple product categories
• specialised warehouses
• primary and secondary warehouse assignments

Data availability statement

The data that support the findings of this study are available from the corresponding author, [T O], upon reasonable request.

Disclosure statement

No potential conflict of interest was reported by the author(s).

Additional information

Notes on contributors

Tareq Oshan

Dr. Richard J. Caron joined the University of Windsor in 1983 after having earned his Ph.D in Mathematics, from the Department of Combinatorics and Optimization at the University of Waterloo, Canada. He is a Professor of Mathematics and Statistics. Dr. Caron's main research area is mathematical optimization and operational research. His extensive research work has appeared in journals such as Mathematical Programming, JASA, Operations Research, EJOR, and INFOR. Dr. Tareq Oshan, an assistant professor at Al Ain University's College of Engineering in the United Arab Emirates, holds a Ph.D in Industrial Engineering from the University of Windsor in Canada(2021). His research focuses on Supply Chain network design and developing warehouse location methods under risk of failure.