This paper provides an analysis of capacitated network design cut–set polyhedra. We give a complete linear description of the cut–set polyhedron of the single commodity – single facility capacitated network design problem. Then we extend the analysis to single commodity – multifacility and multicommodity – multifacility capacitated network design problems. Valid inequalities described here are ...

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...

Network design problems arise in a wide range of applied areas including telecommunications, computer networks, and transportation. In this paper, we address the following discrete capacitated multi-terminal network design problem. Given a connected digraph G = (V,A), a set of L potential facilities to be installed on each arc, and a set ofKmulti-terminal (non-simultaneous) commodity flow requi...

In this paper, we present a mathematical formulation for saving energy in fixed broadband wireless networks by selectively turning off idle communication devices in low-demand scenarios. This problem relies on a fixed-charge capacitated network design (FCCND), which is very hard to optimize. We then propose heuristic algorithms to produce feasible solutions in a short time.

The network design problem is a well known optimization problem with applications in telecommunication, infrastructure designs and military operations. This paper devises the first formulation and solution methodology for the multi-commodity k-splittable two-edge disjoint survivable network design problem with capacitated edges and relays. This problem realistically portrays telecommunications ...

We consider a network design problem that arises in the costoptimal design of last mile telecommunication networks. It extends the Connected Facility Location problem by introducing capacities on the facilities and links of the networks. It combines aspects of the capacitated network design problem and the single-source capacitated facility location problem We refer to it as the Capacitated Con...

Facing supply uncertainty of bulky wastes, the capacitated multi-product stochastic network design model for bulky waste recycling is proposed in this paper. The objective of this model is to minimize the first-stage total fixed costs and the expected value of the second-stage variable costs. The possibility of operation costs and transportation costs for bulky waste recycling is considered ...

We study the multi commodity uncapacitated network design problem, which is known to be NP-complete. We also study the capacitated one facility non-bifurcated version of the problem in which ow of a commodity is restricted to ow on at most two paths. We describe an exact O(n 2 2 K + n3 K) algorithm for these two versions of the multi commodity problem. This algorithm can also be used to solve t...

We study the value and quality of deterministic solutions to scheduled stochastic capacitated multi-commodity service network design problems. We study both the fixed and variable (integer and continuous) capacity cases, and investigate models with and without asset-balance constraints. For the deterministic cases, we replace the random variables in the stochastic model with the 50 th and the 7...