Papers
A Nonlinear Programming Model in Optimum Communication Satellite Use
Author(s)Thomas Saaty
Joseph M. Katz Graduate School of Business
University of Pittsburgh
United States
Publication date: Jan, 1965
Journal: SIAM ReviewVol.: 7- Issue: 3- Pages: 403-408
Abstract: In this note we formulate the problem of allocating communication needs of different cities via relay-type satellites. Our model turns out to be a dynamic (over successive time periods) quadratic nonlinear program requiring integer solutions. Such solutions have been recently studied by Kunzi and Oettli [1] and Witzgall [2]. Our main interest in the problem has been its formulation. Although there are many ramifications of the problem as given here, we believe that our model provides a framework which can include modifications for special circumstances. In addition, we originally formulated the problem for Telstar relay satellites whose time of availability over any communication complex of cities is given according to a schedule. The Syncom-type fixed satellite problem is an easier special case of this model.
Keywords: Nonlinear programming model, Optimization, Coomunication satellite