IJPAM: Volume 20, No. 4 (2005)

THE RESOLVENT SET OF
M/M/1 RETRIAL QUEUEING MODEL

Furong Zhang$^1$, Geni Gupur$^2$
$^{1,2}$College of Mathematics and System Science
Xinjiang University
Urumqi, 830046, P.R. CHINA
$^2$e-mail: [email protected]


Abstract.We study the resolvent set of the operator corresponding to M/M/1 retrial queueing model with special retrial times and obtain all points on the imaginary axis except for zero belong to the resolvent set of this operator.

Received: March 4, 2005

AMS Subject Classification: 47A10

Key Words and Phrases: retrial queue, adjoint operator, resolvent set

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2005
Volume: 20
Issue: 4