Stochastic Second-Order Cone Programming in Mobile Ad Hoc Networks

F. Maggioni, F. A. Potra (), M. I. Bertocchi and E. Allevi
Additional contact information
F. Maggioni: University of Bergamo
F. A. Potra: University of Maryland
M. I. Bertocchi: University of Bergamo
E. Allevi: University of Brescia

Journal of Optimization Theory and Applications, 2009, vol. 143, issue 2, No 6, 309-328

Abstract: Abstract 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 stability results for the optimal first-stage solutions and the optimal cost function values.

Keywords: Mobile ad-hoc networks; Second-order cone programming; Stochastic programming; Scenarios generation (search for similar items in EconPapers)
Date: 2009
References: View complete reference list from CitEc
Citations: View citations in EconPapers (9)

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DOI: 10.1007/s10957-009-9561-0

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