Decomposition Methods for Network Design
نویسنده
چکیده
Network design applications are prevalent in transportation and logistics. We consider the multicommodity capacitated fixedcharge network design problem (MCND), a generic model that captures three important features of network design applications: the interplay between investment and operational costs, the multicommodity aspect, and the presence of capacity constraints. We focus on mathematical programming approaches for the MCND and present three classes of methods that have been used to solve large-scale instances of the MCND: a cutting-plane method, a Benders decomposition algorithm, and Lagrangian relaxation approaches. © 2011 Published by Elsevier Ltd. Selection and/or peer-review under responsibility of the Organizing Committee.
منابع مشابه
A Modified Benders Decomposition Algorithm for Supply Chain Network Design under Risk Consideration
In today’s competitive business environment, the design and management of supply chainnetwork is one of the most important challenges that managers encounter. The supply chain network shouldbe designed for satisfying of customer demands as well as minizing the total system costs. This paper presentsa multi-period multi-stage supply chain network design problem under demand uncertainty. The prob...
متن کاملBenders Decomposition Algorithm for Competitive Supply Chain Network Design under Risk of Disruption and Uncertainty
In this paper, bi-level programming is proposed for designing a competitive supply chain network. A two-stage stochastic programming approach has been developed for a multi-product supply chain comprising a capacitated supplier, several distribution centers, retailers and some resellers in the market. The proposed model considers demand’s uncertainty and disruption in distribution centers and t...
متن کاملA Hybrid Solution Approach Based on Benders Decomposition and Meta-Heuristics to Solve Supply Chain Network Design Problem
Supply Chain Network Design (SCND) is a strategic supply chain management problem that determines its configuration. This mainly focuses on the facilities location, capacity sizing, technology selection, supplier selection, transportation, allocation of production and distribution facilities to the market, and so on. Although the optimal solution of the SCND problem leads to a significant reduc...
متن کاملTwo-stage Stochastic Programing Based on the Accelerated Benders Decomposition for Designing Power Network Design under Uncertainty
In this paper, a comprehensive mathematical model for designing an electric power supply chain network via considering preventive maintenance under risk of network failures is proposed. The risk of capacity disruption of the distribution network is handled via using a two-stage stochastic programming as a framework for modeling the optimization problem. An applied method of planning for the net...
متن کاملA Fast Strategy to Find Solution for Survivable Multicommodity Network
This paper proposes an immediately efficient method, based on Benders Decomposition (BD), for solving the survivable capacitated network design problem. This problem involves selecting a set of arcs for building a survivable network at a minimum cost and within a satisfied flow. The system is subject to failure and capacity restriction. To solve this problem, the BD was initially proposed with ...
متن کاملA Benders' Decomposition Method to Solve Stochastic Distribution Network Design Problem with Two Echelons and Inter-Depot Transportation
In many practical distribution networks, managers face significant uncertainties in demand, local price of building facilities, transportation cost, and macro and microeconomic parameters. This paper addresses design of distribution networks in a supply chain system which optimizes the performance of distribution networks subject to required service level. This service level, which is consider...
متن کامل