Title: Redesigning multi-echelon integrated distribution networks using the Lagrangian relaxation heuristics

Authors: Pouyan Nikzad; Hokey Min; Farhad Yousofi Moghadam

Addresses: Brandt Tractor Ltd., Regina, Canada ' Maurer Center 312, Department of Management, College of Business, Bowling Green State University, Bowling Green, Ohio 43403, USA ' School of Industrial Engineering, College of Engineering, University of Tehran, Technical Engineering Campus, Tehran, Iran

Abstract: With constant changes in customer and supplier bases in the midst of rapid globalisation and rising e-commerce activities, supply chain professionals need to reassess the existing distribution network more frequently than ever before. Such reassessment may involve the complex array of the phase-out, relocation, consolidation, centralisation, and risk pooling of warehousing facilities across the entire supply chain. Since the supply chain includes an intertwined network of suppliers, customers and third-party intermediaries, the problem of redesigning the distribution network (DNRP) poses many challenges. To solve such a challenging problem, we develop and propose a nonlinear optimisation model. This model takes into account the multi-echelon links and dynamic interdependence among supply chain partners. The proposed model was structured within the dynamic knapsack framework where a known quantity of resources is available and demands for those resources arrive randomly over time. In this framework, we develop a new heuristic algorithm based on the Lagrangian relaxation, sub-gradient, and branch and bound methods for solving the DNRP. The practicality and computational efficiency of the proposed model and algorithm were verified through a series of model experiments under what-if problem scenarios. [Received: 9 May 2019; Accepted: 8 May 2020]

Keywords: facility network redesign; dynamic knapsack problem; Lagrangian relaxation; risk pooling.

DOI: 10.1504/EJIE.2021.115173

European Journal of Industrial Engineering, 2021 Vol.15 No.3, pp.352 - 380

Received: 09 May 2019
Accepted: 08 May 2020

Published online: 30 Apr 2021 *

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