Fast Scheduling for Delay Minimization in UWB Wireless Networks

• Published in: IEEE communications letters Vol. 16; no. 9; pp. 1400 - 1403
• Main Authors: Sadi, Y., Ergen, S. C.
• Format: Journal Article
• Language: English
• Published: New York, NY IEEE 01.09.2012; Institute of Electrical and Electronics Engineers; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Algorithms; Applied sciences; Delay; delay minimization; Equations; Exact sciences and technology; Heuristic; Heuristic methods; Integer programming; Mathematical model; Maximization; Minimization; Networks; Optimal scheduling; Optimization; Polypropylenes; Resource management; Scheduling; Signal to noise ratio; Studies; Systems, networks and services of telecommunications; Telecommunications; Telecommunications and information theory; Transmission and modulation (techniques and equipments); UWB; Wireless networks; UWB; Wireless telecommunication; Linear programming; Scheduling; Non linear programming; Algorithm; Information transmission; Ultra wide band; Simulation; delay minimization; Optimal solution; Pricing; Heuristic method; Wireless network; Delay time; Optimal planning; Tariffication
• ISSN: 1089-7798; 1558-2558
• DOI: 10.1109/LCOMM.2012.072012.120500

We study the optimal scheduling problem for delay minimization subject to traffic demand, transmit power and Signal-to-Noise-plus-Interference Ratio (SNIR) constraints in rate-controlled Ultra-Wideband (UWB) wireless networks. We first formulate the Linear Programming (LP) problem where the number of variables is exponential in the number of the links. We then propose the heuristic algorithm called Exclusion Region and Utility Maximization based Column Generation Method (EXUM-CGM) to solve the problem rapidly and efficiently. In EXUM-CGM, we decompose the large scale problem into two sub-problems, Restricted Master Problem (RMP) and Pricing Problem (PP). We adapt the exclusion region concept commonly used in UWB systems to the initialization of the RMP. Since the PP formulation is a non-linear integer programming problem, we propose a heuristic algorithm based on utility maximization. Through the simulations, we show that EXUM-CGM decreases the runtime of the exponential LP problem significantly while achieving very close-to-optimal solutions.