Title :
A critical review of Stevens´ and Sinclair´s equation
Author :
Okaekwu, Emeka D. ; Ade, Nicholas
Author_Institution :
Sch. of Electr. & Inf. Eng., Univ. of the Witwatersrand, Johannesburg, South Africa
Abstract :
A finite-source queuing model is very useful in determining performance equations, probability of delay of users who queue for a free server when all servers are busy. The aim of this paper is to critically examine and analyze Stevens´ and Sinclair´s equation to show that it is a performance equation for the probability of delay in private mobile radio (PMR) systems. We analyze such an equation mathematically and present a computational program using MATLAB. The system is an M/M/r/K/K queuing model with finite sources of traffic. Some of the basic traffic characteristics and assumptions are also reviewed.
Keywords :
mobile radio; probability; queueing theory; telecommunication congestion control; telecommunication traffic; MATLAB; Sinclair´s equation; Steven´s equation; blocking probability; computational program; delay probability; finite-source M/M/r/K/K queuing model; performance equation; private mobile radio system; server system; traffic characteristics; Decision trees; Delay; Equations; Land mobile radio; Mathematical model; Performance analysis; Physics; Probability; Telecommunication traffic; Traffic control; Erlang-C formula; blocking probability; delay probability; finite population; full availability systems; grade of service (GoS); infinite population;
Conference_Titel :
AFRICON, 2009. AFRICON '09.
Conference_Location :
Nairobi
Print_ISBN :
978-1-4244-3918-8
Electronic_ISBN :
978-1-4244-3919-5
DOI :
10.1109/AFRCON.2009.5308115
