Scheduling over nonstationary wireless channels with finite rate sets

  • Authors:
  • Matthew Andrews;Lisa Zhang

  • Affiliations:
  • Bell Laboratories, Murray Hill, NJ;Bell Laboratories, Murray Hill, NJ

  • Venue:
  • IEEE/ACM Transactions on Networking (TON)
  • Year:
  • 2006

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Abstract

We consider a wireless basestation transmitting high-speed data to multiple mobile users in a cell. The channel conditions between the basestation and the users are time-varying and user-dependent. Our objective is to design a scheduler that determines which user to schedule at each time step. Previous work on this problem has typically assumed that the channel conditions are governed by a stationary stochastic process. In this setting, a popular algorithm known as Max-Weight has been shown to have good performance.However, the stationarity assumption is not always reasonable. In this paper, we study a more general worst-case model in which the channel conditions are governed by an adversary and are not necessarily stationary. In this model, we show that the nonstationarities can cause Max-Weight to have extremely poor performance. In particular, even if the set of possible transmission rates is finite, as in the CDMA 1xEV-DO system, Max-Weight can produce queue sizes that are exponential in the number of users. On the positive side, we describe a set of tracking algorithms that aim to track the performance of a schedule maintained by the adversary. For one of these tracking algorithms, the queue sizes are only quadratic.We discuss a number of practical issues associated with the tracking algorithms. We also illustrate the performance of Max-Weight and the tracking algorithms using simulation.