A branch-and-cut algorithm for the Steiner tree problem with delays

V. Leggieri; M. Haouari; C. Triki

doi:10.1007/s11590-011-0368-1

A branch-and-cut algorithm for the Steiner tree problem with delays

V. Leggieri^*, M. Haouari, C. Triki

^*Corresponding author for this work

Mechanical and Industrial Engineering

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

Abstract

In this paper, we investigate the Steiner tree problem with delays, which is a generalized version of the Steiner tree problem applied to multicast routing. For this challenging combinatorial optimization problem, we present an enhanced directed cut-based MIP formulation and an exact solution method based on a branch-and-cut approach. Our computational study reveals that the proposed approach can optimally solve hard dense instances.

Original language	English
Pages (from-to)	1753-1771
Number of pages	19
Journal	Optimization Letters
Volume	6
Issue number	8
DOIs	https://doi.org/10.1007/s11590-011-0368-1
Publication status	Published - Nov 2012

Keywords

Branch-and-cut method
Delay constraints
Steiner tree problem

ASJC Scopus subject areas

Control and Optimization

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10.1007/s11590-011-0368-1

Cite this

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abstract = "In this paper, we investigate the Steiner tree problem with delays, which is a generalized version of the Steiner tree problem applied to multicast routing. For this challenging combinatorial optimization problem, we present an enhanced directed cut-based MIP formulation and an exact solution method based on a branch-and-cut approach. Our computational study reveals that the proposed approach can optimally solve hard dense instances.",

keywords = "Branch-and-cut method, Delay constraints, Steiner tree problem",

author = "V. Leggieri and M. Haouari and C. Triki",

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AU - Leggieri, V.

AU - Haouari, M.

AU - Triki, C.

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N2 - In this paper, we investigate the Steiner tree problem with delays, which is a generalized version of the Steiner tree problem applied to multicast routing. For this challenging combinatorial optimization problem, we present an enhanced directed cut-based MIP formulation and an exact solution method based on a branch-and-cut approach. Our computational study reveals that the proposed approach can optimally solve hard dense instances.

AB - In this paper, we investigate the Steiner tree problem with delays, which is a generalized version of the Steiner tree problem applied to multicast routing. For this challenging combinatorial optimization problem, we present an enhanced directed cut-based MIP formulation and an exact solution method based on a branch-and-cut approach. Our computational study reveals that the proposed approach can optimally solve hard dense instances.

KW - Branch-and-cut method

KW - Delay constraints

KW - Steiner tree problem

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JF - Optimization Letters

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ER -

A branch-and-cut algorithm for the Steiner tree problem with delays

Abstract

Keywords

ASJC Scopus subject areas

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