Research note: Capacity assignment in computer communication networks with unreliable links

  • Authors:
  • Debashis Saha;Amitava Mukherjee;Sourav K Dutta

  • Affiliations:
  • Department of Computer Science and Engineering, Jadavpur University, Calcutta 700 032, India;Department of Electronics and Telecommunication Engg, Jadavpur University, Calcutta 700 032, India;Department of Computer Science and Engineering, Jadavpur University, Calcutta 700 032, India

  • Venue:
  • Computer Communications
  • Year:
  • 1994

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Abstract

This paper considers the problem of selecting the optimum capacities of the links in a computer communication network which employs unreliable links. Given the nodes, links, link probabilities, grade of service and cost functions of the network, the objective of this problem is to find the optimum link capacities that minimize the network design cost, subject to the constraint equation involving the grade of service. This is essentially a combinatorial optimization problem. A general methematical model for this problem is formulated and a set of feasible solutions is obtained using Lagrangean relaxation and subgradient optimization techniques. A simulation study has been performed to verify the model, and favourable results obtained for a variety of nontrivial networks.