Numerical techniques for stochastic optimization
Numerical techniques for stochastic optimization
Annals of Operations Research - Special issue on sensitivity analysis and optimization of discrete event systems
Analysis and modeling of World Wide Web traffic for capacity dimensioning of Internet access lines
Performance Evaluation - Special issue on performance and control of network systems
Minimum power multicasting in wireless networks under probabilistic node failures
Computational Optimization and Applications
Easy distributions for combinatorial optimization problems with probabilistic constraints
Operations Research Letters
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The expansion of telecommunication services has increased the number of users sharing network resources. When a given service is highly demanded, some demands may be unmet due to the limited capacity of the network links. Moreover, for such demands, telecommunication operators should pay penalty costs. To avoid rejecting demands, we can install more capacities in the existing network. In this paper we report experiments on the network capacity design for uncertain demand in telecommunication networks with integer link capacities. We use Poisson demands with bandwidths given by normal or log-normal distribution functions. The expectation function is evaluated using a predetermined set of realizations of the random parameter. We model this problem as a two-stage mixed integer program, which is solved using a stochastic subgradient procedure, the Barahona's volume approach and the Benders decomposition.