Least cost heuristic for the delay-constrained capacitated minimum spanning tree problem

  • Authors:
  • Yong-Jin Lee;M. Atiquzzaman

  • Affiliations:
  • Department of Computer Science, Woosong University, 17-2 Jayang-Dong, Dong-Ku, Taejon 300-718, South Korea;School of Computer Science, University of Oklahoma, 200 Felgar Street, Norman, OK 73019-6151, USA

  • Venue:
  • Computer Communications
  • Year:
  • 2005

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Abstract

This study deals with the Delay-Constrained Capacitated Minimum Spanning Tree (DC-CMST) problem arising in topology discovery of local network. While the traditional Capacitated Minimum Spanning Tree (CMST) problem deals with only traffic capacity constraint of a port of a source node, and Delay-Constrained Minimum Spanning Tree (DCMST) considers only the maximum end-to-end delay constraint, the DC-CMST problem deals with mean network delay and traffic capacity constraints simultaneously. The DC-CMST problem consists of finding a set of minimum cost spanning trees to link end-nodes to a source node which satisfy the traffic requirements at end-nodes and the required mean delay of a network. We formulate the DC-CMST problem and present the Least-Cost DC-CMST Heuristic, which consists of node exchange algorithm, node shift algorithm, and mean delay link capacity algorithm to solve the DC-CMST problem. Results from performance analysis show that the proposed heuristic can produce, in a very short computation time, better results than the previous CMST algorithms modified to solve the DC-CMST problem. The proposed Least-Cost DC-CMST Heuristic can be applied to the topological design of large local networks and to the construction of least cost broadcast and multicast trees for efficient routing algorithms.