A NOVEL BINARY PROGRAMMING APPROACH FOR OPTIMAL DESIGN OF CELLULAR MOBILE
Syed Zahid Ali
The present paper deals with the problem of determining the minimum
number of base stations required to cover a given radio
network area, together with the associated cell size and the best topographical
configurations. Existing solutions to this
NP-Complete problem are based on the heuristic approaches but these do not guarantee
convergence to a true globally optimal
solution. In this paper, a strong binary programming formulation is developed for
the problem and a special branch and cut
algorithm is applied for obtaining guaranteed optimal solutions. The presented
examples show that using the proposed
techniques, it is possible to solve optimally fairly large-size network design
problems for the GSM as well as CDMA based mobile radio cellular systems.
Keywords: network design, independent set, branch and cut algorithm, binary linear
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