The paper introduces a cutting-plane matheuristic for the design-balanced capacitated multicommodity network design problem, one of the premier formulations for the service network design problem with asset management concerns increasingly faced by carriers within their tactical planning processes. The matheuristic combines a cuttingplane procedure efficiently computing tight lower bounds and a...

We describe fully polynomial time approximation schemes for generalized multicommodity flow problems arising in VLSI applications such as Global Routing via Buffer Blocks (GRBB). We extend Fleischer’s improvement [7] of Garg and Könemann [8] fully polynomial time approximation scheme for edge capacitated multicommodity flows to multiterminal multicommodity flows in graphs with capacities on ver...

In this paper, we propose a method based on learning mechanisms to address the fixed charge capacitated multicommodity network design problem. Learning mechanisms are applied on each solution to extract meaningful fragments to build a pattern solution. Cycle-based neighborhoods are used both to generate solutions and to move along a path leading to the pattern solution by a tabu-like local sear...

In this paper, we propose a path relinking procedure for the fixed-charge capacitated multicommodity network design problem. Cycle-based neighbourhoods are used both to move along path between elite solutions and to generate the elite candidate set by a tabu-like local search procedure. Several variants of the method are implemented and compared. Extensive computational experiments indicate tha...

The Disjoint Connecting Paths problem and its capacitated generalization, called Unsplittable Flow problem, play an important role in practical applications such as communication network design routing. These tasks are NP-hard general, but various polynomial-time approximations known. Nevertheless, the tend to be either too loose (allowing large deviation from optimum), or complicated, often re...

We consider two types of path selection problems for arc capacitated network. Given an arc capacitated network and a set of commodities, one problem is to find a subset of commodities to be routed and an assignment of them to the paths so that profit is maximized. The other problem is to route all given commodities in the network so that cost is minimized. Bifurcation of flow is not allowed in ...

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...

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...