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Output and Delay Processes in a Slotted ALOHA Multichannel Packet Radio Network with Capture

Published online by Cambridge University Press:  27 July 2009

Wuyi Yue  and
Yutaka Matsumoto
Wuyi Yue
Affiliation:
Department of Applied Mathematics Konan University Kobe 658 Japan
Yutaka Matsumoto
Affiliation:
Division of Applied Systems Science Kyoto University Kyoto 606 Japan
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Abstract

In this paper, we exactly analyze the performance of the slotted ALOHA access scheme with capture in a multichannel packet radio communication environment for the IFT (immediate-first-transmission) protocol and the DFT (delayed-first-transmission) protocol. We derive four moment generating functions for the following performance measures: (1) the number of packet deparures in each group of capture level in any slot, (2) the interval time between wo consecutive slot ends with the same number of departures, (3) the interval time between two consecutive slot ends with at least one departure and the number of departures in each group in that slot, and (4) the packet delay for each group. We calculate the averages and higher moments of these performance measures by differentiating the moment generating functions and numerically compare the systems with and without ower capture. The system consists of a finite population of Nstations, both fixed and mobile, that are divided into L different capture groups and access a set of parallel M channels to transmit their packets. Capture effect means that a packet transmitted by a station with a highest capture level can be received accurately, even when other packets in lower capture levels are simultaneously transmitted on the same channel and in the same slot. Numerical comparison to a multichannel system without capture is made. Capture effects on channel utilization, mean packet delay, and coefficients of variation of packet delay and interdeparture time are examined.

Type
Articles
Information
Probability in the Engineering and Informational Sciences , Volume 6 , Issue 4 , October 1992 , pp. 471 - 493
Copyright
Copyright © Cambridge University Press 1992

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