Authors
FRANCESCA Maggioni, Florian A Potra, MI Bertocchi, Elisabetta Allevi
Publication date
2009/11
Journal
Journal of optimization theory and applications
Volume
143
Issue
2
Pages
309-328
Publisher
Springer US
Description
We propose a two-stage stochastic second-order cone programming formulation of the semidefinite stochastic location-aided routing (SLAR) model, described in Ariyawansa and Zhu (Q. J. Oper. Res. 4(3), 239–253, 2006). The aim is to provide a sender node S with an algorithm for optimally determining a region that is expected to contain a destination node D (the expected zone). The movements of the destination node are represented by ellipsoid scenarios, randomly generated by uniform and normal distributions in a neighborhood of the starting position of the destination node. By using a second-order cone model, we are able to solve problems with a much larger number of scenarios (20250) than it is possible with the semidefinite model (500). The use of a larger number of scenarios allows for the computation of a new expected zone, that may be very effective in practical applications, and for obtaining …
Total citations
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Scholar articles
F Maggioni, FA Potra, MI Bertocchi, E Allevi - Journal of optimization theory and applications, 2009