Title
Global optimization method for solving the minimum maximal flow problem
Abstract
The problem of minimizing the flow value attained by maximal flows plays an important and interesting role to investigate how inefficiently a network can be utilized. It is a typical multiextremal optimization problem, which can have local optima different from global optima. We formulate this problem as a global optimization problem with a special structure and propose a method to combine different techniques in local search and global optimization. Within the proposed algorithm, the advantageous structure of network flow is fully exploited so that the algorithm should be suitable for handling the problem of moderate sizes.
Year
DOI
Venue
2003
10.1080/1055678031000120191
OPTIMIZATION METHODS & SOFTWARE
Keywords
Field
DocType
minimum maximal flow,global optimization,optimization over efficient sets,adjacent vertex search,branch and bound
Mathematical optimization,Global optimization,Algorithm,Multi-swarm optimization,Cross-entropy method,Cutting stock problem,Multi-commodity flow problem,Optimization problem,Minimum-cost flow problem,Mathematics,Metaheuristic
Journal
Volume
Issue
ISSN
18
4
1055-6788
Citations 
PageRank 
References 
2
0.42
13
Authors
3
Name
Order
Citations
PageRank
Jun-Ya Gotoh111710.17
Nguyen Van Thoai292.75
Y. Yamamoto310323.02