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Optimal power control in a wireless network using a model with stochastic link coefficients

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  • T. Heikkinen
  • A. Prékopa

Abstract

This paper addresses optimal power allocation in a wireless communication network under uncertainty. The paper introduces a framework for optimal transmit power allocation in a wireless network where both the useful and interference coefficients are random. The new approach to power control is based on a stochastic programming formulation with probabilistic SIR constraints. This allows to state the power allocation problem as a convex optimization problem assuming normally or log‐normally distributed communication link coefficients. Numerical examples illustrate the performance of the optimal stochastic power allocation. A distributed algorithm for the decentralized solution of the stochastic power allocation problem is discussed. © 2004 Wiley Periodicals, Inc. Naval Research Logistics, 2005

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  • T. Heikkinen & A. Prékopa, 2005. "Optimal power control in a wireless network using a model with stochastic link coefficients," Naval Research Logistics (NRL), John Wiley & Sons, vol. 52(2), pages 178-192, March.
    • Handle: RePEc:wly:navres:v:52:y:2005:i:2:p:178-192
    DOI: 10.1002/nav.20054
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    References listed on IDEAS

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    1. George B. Dantzig, 1955. "Linear Programming under Uncertainty," Management Science, INFORMS, vol. 1(3-4), pages 197-206, 04-07.
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    Cited by:

    1. Yiting Xing & Ling Li & Zhuming Bi & Marzena Wilamowska‐Korsak & Li Zhang, 2013. "Operations Research (OR) in Service Industries: A Comprehensive Review," Systems Research and Behavioral Science, Wiley Blackwell, vol. 30(3), pages 300-353, May.
    2. Joe Naoum‐Sawaya & Samir Elhedhli, 2010. "A nested benders decomposition approach for telecommunication network planning," Naval Research Logistics (NRL), John Wiley & Sons, vol. 57(6), pages 519-539, September.

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