Performance analysis of an AAL multiplexer with dynamic bandwidth allocation in an IP/ATM environment

  • Authors:
  • Dong Hwan Han;Chul Geun Park;Kwang Hyun Baik

  • Affiliations:
  • Department of Mathematics, Sunmoon University, Tangjeong-myun, Asan-si, Chungnam 336-708, South Korea;Department of Information and Communications Engineering, Sunmoon University, Tangjeong-myun, Asan-si, Chungnam 336-708, South Korea;Department of Business Administration, Sunmoon University, Tangjeong-myun, Asan-si, Chungnam, 336-708, South Korea

  • Venue:
  • Computers and Operations Research
  • Year:
  • 2003

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Abstract

In this paper, we present a discrete-time queueing model with a Markov modulated batch Bernoulli process (MMBBP) as a bursty input traffic model of internet protocol packets in order to investigate the performance of a ATM adaptation layer (AAL) multiplexer with a finite buffer and a threshold-based dynamic bandwidth allocation scheme (DBAS): As a deterministic service time, we use the segmentation processing time devoted to a cell payload in the AAL multiplexer. This service time consists of several slot times and varies in line with threshold levels of the buffer contents. In an MMBBP process, the arrivals during a slot time occur as batch Bernoulli processes with a general distribution of batch sizes varying according to the phases of a Markov chain. We obtain the loss probability and the mean delay of an arbitrary packet. We present some numerical results to show the effects of the burstiness and thresholds on the performance of the AAL multiplexer with a DBAS.