Emulation and Approximation of a Flexible Delay Line by Parallel Non-Overtaking Delay Lines

—In this paper we propose to construct an flexible delay line with maximum delay d by parallel non-overtaking delay lines. We show that for a fixed number of non-overtaking delay lines, an optimal policy to minimize packet losses is to assign arriving packets to the non-overtaking delay line that has the largest residual service time while maintaining the FIFO order for each non-overtaking delay lines. Based on this optimal policy we show that to exactly emulate an flexible delay line, one needs (d + 1)/2 non-overtaking delay lines. We also show that if one can tolerate a small packet loss probability, one just needs O( √ d) non-overtaking delay lines. In this case, we show that the residual service times of the non-overtaking delay lines behaved as if they followed the order statistics of uniform random variables.

• Type: Conference
• Year: 2009
• Where: INFOCOM
• Authors: Duan-Shin Lee, Kai-Jie Hsu, Cheng-Shang Chang, Jay Cheng
• Keywords: Communications, Delay Lines, INFOCOM 2009, Non-overtaking Delay Lines, flexible Delay Line