Bundle-based relaxation methods for multicommodity capacitated fixed charge network design

Bundle-based relaxation methods for multicommodity capacitated fixed charge network design

Scale Multicommodity Capacitated Fixed-Charge Network Design

We present a branch-and-price-and-cut algorithm for solving large-scale instances of the multicommodity capacitated fixed-charge network design problem. The restricted master problem solved at each column generation iteration is obtained directly from the compact arc-based model by considering only a subset of the commodity flow variables. The pricing subproblem corresponds to a Lagrangian rela...

Cycle-Based Neighbourhoods for Fixed-Charge Capacitated Multicommodity Network Design

We propose new cycle-based neighbourhood structures for meta-heuristics aimed at the fixedcharge capacitated multicommodity network design formulation. The neighbourhood defines moves that take explicitly into account the impact on the total design cost of potential modifications to the flow distribution of several commodities simultaneously. Moves are identified through a shortest path-like ne...

A cutting-plane algorithm based on cutset inequalities for multicommodity capacitated fixed charge network design

The multicommodity capacitated fixed charge network design problem is a well-known NPhard problem which arises in a wide variety of applications, most notably in transportation and telecommunications. In this paper, we propose to improve the mixed integer programming (MIP) formulation of the problem by using a polyhedral approach. We present a cutting-plane algorithm which incorporates valid in...

Path Relinking and Cycle-Based Neighbourhoods for Fixed Charge, Capacitated, Multicommodity Network Design

The fixed-charge capacitated multicommodity network design formulation (CMND) represents a generic model for a wide range of applications in planning the construction, development, improvement, and operation of transportation, logistics, telecommunication, and production systems (Balakrishnan, Magnanti, and Mirchandani 1997 and references therein). In these applications, multiple commodities (g...