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Analysis and Simulation of Queueing Models for Reservation Based Bandwidth Access with Large Propagation Delays

Sankar, Gouri S and Kumar, Anurag (1999) Analysis and Simulation of Queueing Models for Reservation Based Bandwidth Access with Large Propagation Delays. In: 1999 IEEE International Conference on Personal Wireless Communication, 17-19 February, Jaipur,India, 140 -144.


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Motivated by reservation-based multiple access protocols in satellite networks, we consider discrete time queueing models in which the allocation of a server to the queue/s is based on delayed queue length information. Service allocations are made at frame boundaries, and in general a frame consists of several slots, each of which can carry one packet. We analyse a model in which the service allocation at each frame boundary is based on the most recently observed queue length. In this model the queue length process is a Markov chain of order $\Delta+1$, where $\Delta$ is the round trip delay in frame times. An interesting aspect of this model is that bandwidth allocations go to waste, since the queue to which bandwidth is allocated may not have that many packets. For the case of a single node, independent and identically distributed arrivals, and when each frame has one slot, we are able to obtain explicit expressions for the generating function of the stationary queue length. A decomposition formula similar that found in vacation models is shown to hold. We use simulations to study the case of multiple slots per frame, and the case of two nodes. We also examine a model in which the bandwidth scheduler bases its allocations on the most recently observed queue length, and on the past allocations already made. We show how the mean queue length, the coefficient of variation of queue length, and the average wasted reservations vary with arrival rate, and the round trip delay $\Delta$.

Item Type: Conference Paper
Publisher: IEEE
Additional Information: Copyright 1990 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE.
Department/Centre: Division of Electrical Sciences > Electrical Communication Engineering
Date Deposited: 07 Mar 2006
Last Modified: 19 Sep 2010 04:24
URI: http://eprints.iisc.ac.in/id/eprint/5789

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