A POLYHEDRAL APPROACH TO MULTICOMMODITY SURVIVABLE NETWORK DESIGN

被引：66

作者：

STOER, M ^{[1
]}

DAHL, G ^{[1
]}

机构：

[1] NORWEGIAN TELECOM RES,N-2007 KJELLER,NORWAY

来源：

NUMERISCHE MATHEMATIK | 1994年 / 68卷 / 01期

关键词：

D O I：

10.1007/s002110050054

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The design of cost-efficient networks satisfying certain survivability constraints is of major concern to the telecommunications industry. In this paper we study a problem of extending the capacity of a network by discrete steps as cheaply as possible, such that the given traffic demand can be accommodated even when a single edge or node in the network fails. We derive valid and nonredundant inequalities for the polyhedron of capacity design variables, by exploiting its relationship to connectivity network design and knapsack-like subproblems. A cutting plane algorithm and heuristics for the problem are described, and preliminary computational results are reported.

引用

页码：149 / 167

页数：19

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