Network flows: theory, algorithms, and applications
Network flows: theory, algorithms, and applications
Network Design Using Cut Inequalities
SIAM Journal on Optimization
Robust and Parallel Solving of a Network Design Problem
CP '02 Proceedings of the 8th International Conference on Principles and Practice of Constraint Programming
Variable Disaggregation in Network Flow Problems with Piecewise Linear Costs
Operations Research
A survey on benders decomposition applied to fixed-charge network design problems
Computers and Operations Research
0-1 reformulations of the multicommodity capacitated network design problem
Discrete Applied Mathematics
Benders, metric and cutset inequalities for multicommodity capacitated network design
Computational Optimization and Applications
A Parallel Algorithm for NMNF Problems with a Large Number of Capacity Constraints
IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
Large-Scale, Less-than-Truckload Service Network Design
Operations Research
Power-efficient radio configuration in fixed broadband wireless networks
Computer Communications
Minimizing Routing Energy Consumption: From Theoretical to Practical Results
GREENCOM-CPSCOM '10 Proceedings of the 2010 IEEE/ACM Int'l Conference on Green Computing and Communications & Int'l Conference on Cyber, Physical and Social Computing
Adaptive memory in multistart heuristics for multicommodity network design
Journal of Heuristics
Minimum-cost optimization in multicommodity logistic chain network
IWMM'04/GIAE'04 Proceedings of the 6th international conference on Computer Algebra and Geometric Algebra with Applications
An improved Benders decomposition applied to a multi-layer network design problem
Operations Research Letters
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We describe an exact solution procedure, based on the use of standard LP software, for multicommodity network optimization problems with general discontinuous step-increasing cost functions. This class of problems includes the so-called single-facility and multiple-facility capacitated network loading problems as special cases. The proposed procedure may be viewed as a specialization of the well-known BENDERS partitioning procedure, leading to iteratively solving an integer 0-1 linear programming relaxed subproblem which is progressively augmented through constraint generation. We propose an improved implementation of the constraint generation principle where, at each step, several (O(N)) new constraints are included into the current problem, thanks to which the total number of iterations is greatly reduced (never exceeding 15 in all the test problems treated). We report on systematic computational experiments for networks up to 20 nodes, 37 links and cost functions with an average six steps per link.