IJPAM: Volume 50, No. 3 (2009)
SEMIGROUP APPROACH OF A REPAIRABLE
QUEUEING SYSTEM WITH THREE KINDS OF STATES
QUEUEING SYSTEM WITH THREE KINDS OF STATES
Muyidin Helil
, Geni Gupur
, Rena Ehmet
College of Mathematics and Systems Science
Xinjiang University
Urumqi, 830046, P.R. CHINA
e-mail: geni@xju.edu.cn




Xinjiang University
Urumqi, 830046, P.R. CHINA
e-mail: geni@xju.edu.cn
Abstract.By using the Hille-Yosida Theorem, Phillips Theorem and Fattorini Theorem in functional analysis, we will prove that a repairable queueing system with three kinds of states has a unique positive time-dependent solution that satisfies probability condition.
Received: September 12, 2007
AMS Subject Classification: 47D03
Key Words and Phrases: -semigroup, dispersive operator, conservative operator
Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2009
Volume: 50
Issue: 3