On Solvability of the Rate Control Problem in Wired-cum-Wireless Networks

Won-Joo Hwang (), Cong Loi Le () and Rentsen Enkhbat ()
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Won-Joo Hwang: Inje University
Cong Loi Le: Inje University
Rentsen Enkhbat: National University of Mongolia

A chapter in Optimization and Optimal Control, 2010, pp 463-478 from Springer

Abstract: Summary In a wired-cum-wireless network, the rate control problem is a difficult optimization problem. This chapter addresses the solvability of the optimization problem, where the optimization variables are both end-to-end session rates and wireless link transmission rates. The convergence of all algorithms on solving the rate control problem in wireless or wired-cum-wireless networks has been shown in [2, 5, 8, 9, 10, 11]. But existence of a unique solution in the problem has not been studied so far. Although the problem is a nonconvex optimization problem, the unique solvability of the end-to-end session rates of the problem has been shown. In addition, we also prove that there exist infinitely many corresponding values of the wireless link transmission rates which are optimal solutions of the rate control problem. Simulation results are provided to illustrate our approach.

Keywords: wired-cum-wireless networks; rate control problems; convex optimization problems; nonconvex optimization problems; convex functions; concave functions (search for similar items in EconPapers)
Date: 2010
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Persistent link: https://EconPapers.repec.org/RePEc:spr:spochp:978-0-387-89496-6_22

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DOI: 10.1007/978-0-387-89496-6_22

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