Neural networks for solving Constrained Steiner Tree problem

Chotipat Pornavalai; Goutam Chakraborty; Norio Shiratori

Neural networks for solving Constrained Steiner Tree problem

Chotipat Pornavalai, Goutam Chakraborty, Norio Shiratori

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

Hopfield neural network model for finding an optimal or shortest path between two nodes in a graph was proposed recently in some literatures. In this paper, we present a modified version of Hopfield model to find an optimal tree (least total cost tree) from a source node to a number of destination nodes, where each path from source to a destination must satisfy a constraint condition (delay bound condition). This problem is called Constrained Steiner Tree (CST) problem, and was proved to he a NP-complete. A new adaptive coefficient control method for the proposed Hopfield energy function is also developed. Through computer simulation, it is shown that the proposed model could always find a near-optimal valid solution.

Original language	English
Title of host publication	IEEE International Conference on Neural Networks - Conference Proceedings
Place of Publication	Piscataway, NJ, United States
Publisher	IEEE
Pages	1867-1870
Number of pages	4
Volume	4
Publication status	Published - 1995
Event	Proceedings of the 1995 IEEE International Conference on Neural Networks. Part 1 (of 6) - Perth, Aust Duration: 1995 Nov 27 → 1995 Dec 1

Other

Other	Proceedings of the 1995 IEEE International Conference on Neural Networks. Part 1 (of 6)
City	Perth, Aust
Period	95/11/27 → 95/12/1

ASJC Scopus subject areas

Software

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title = "Neural networks for solving Constrained Steiner Tree problem",

abstract = "Hopfield neural network model for finding an optimal or shortest path between two nodes in a graph was proposed recently in some literatures. In this paper, we present a modified version of Hopfield model to find an optimal tree (least total cost tree) from a source node to a number of destination nodes, where each path from source to a destination must satisfy a constraint condition (delay bound condition). This problem is called Constrained Steiner Tree (CST) problem, and was proved to he a NP-complete. A new adaptive coefficient control method for the proposed Hopfield energy function is also developed. Through computer simulation, it is shown that the proposed model could always find a near-optimal valid solution.",

author = "Chotipat Pornavalai and Goutam Chakraborty and Norio Shiratori",

year = "1995",

language = "English",

volume = "4",

pages = "1867--1870",

booktitle = "IEEE International Conference on Neural Networks - Conference Proceedings",

publisher = "IEEE",

note = "Proceedings of the 1995 IEEE International Conference on Neural Networks. Part 1 (of 6) ; Conference date: 27-11-1995 Through 01-12-1995",

}

TY - GEN

T1 - Neural networks for solving Constrained Steiner Tree problem

AU - Pornavalai, Chotipat

AU - Chakraborty, Goutam

AU - Shiratori, Norio

PY - 1995

Y1 - 1995

N2 - Hopfield neural network model for finding an optimal or shortest path between two nodes in a graph was proposed recently in some literatures. In this paper, we present a modified version of Hopfield model to find an optimal tree (least total cost tree) from a source node to a number of destination nodes, where each path from source to a destination must satisfy a constraint condition (delay bound condition). This problem is called Constrained Steiner Tree (CST) problem, and was proved to he a NP-complete. A new adaptive coefficient control method for the proposed Hopfield energy function is also developed. Through computer simulation, it is shown that the proposed model could always find a near-optimal valid solution.

AB - Hopfield neural network model for finding an optimal or shortest path between two nodes in a graph was proposed recently in some literatures. In this paper, we present a modified version of Hopfield model to find an optimal tree (least total cost tree) from a source node to a number of destination nodes, where each path from source to a destination must satisfy a constraint condition (delay bound condition). This problem is called Constrained Steiner Tree (CST) problem, and was proved to he a NP-complete. A new adaptive coefficient control method for the proposed Hopfield energy function is also developed. Through computer simulation, it is shown that the proposed model could always find a near-optimal valid solution.

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M3 - Conference contribution

AN - SCOPUS:0029544664

VL - 4

SP - 1867

EP - 1870

BT - IEEE International Conference on Neural Networks - Conference Proceedings

PB - IEEE

CY - Piscataway, NJ, United States

T2 - Proceedings of the 1995 IEEE International Conference on Neural Networks. Part 1 (of 6)

Y2 - 27 November 1995 through 1 December 1995

ER -

Neural networks for solving Constrained Steiner Tree problem

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