Optimal design of a distributed network with a two-level hierarchical structure

• Published in: European journal of operational research Vol. 62; no. 1; pp. 105 - 115
• Main Authors: Chung, Sung-hark, Myung, Young-soo, Tcha, Dong-wan
• Format: Journal Article
• Language: English
• Published: Amsterdam Elsevier B.V 09.10.1992; Elsevier; Elsevier Sequoia S.A
• Series: European Journal of Operational Research
• Subjects: Algorithms; Applied sciences; Business and industry local networks; Communications networks; Design; dual-based algorithm; Exact sciences and technology; Hierarchies; Linear programming; Mathematical models; Network design; Networks and services in france and abroad; Operations research; Optimal; quadratic 0–1 programming; Studies; Telecommunications; Telecommunications and information theory; Teleprocessing networks. Isdn; Theory; dual-based algorithm; Network design; quadratic 0–1 programming; Design; Topology; Mathematical model; Algorithm; Local network; Telecommunication network
• ISSN: 0377-2217; 1872-6860
• DOI: 10.1016/0377-2217(92)90181-8

This paper deals with the topological design of a network with a two-level hierarchical structure where the embedded backbone network is full-meshed and the local networks attached to it are of star type. The whole problem, unlike the conventional approaches partitioning it into two subproblems, is directly handled in such a general setting that both a backbone network and local access networks are to be simultaneously determined. We formulate this problem as a quadratic 0–1 programming model, and also propose an equivalent linearized version of the model. Based on the observation that the linearized model is a variant of the well established uncapacitated facility location problem, a dual-based solution procedure is developed and shown to be efficient from computing experiments which were done on a wide variety of problems with up to 50 backbone nodes and 50 user nodes.