Resolvent set of the M/MB/ 1 Operator

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Article ID:	iaor2004782
Country:	United Kingdom
Volume:	44
Issue:	1/2
Start Page Number:	67
End Page Number:	82
Publication Date:	Jul 2002
Journal:	Computers & Mathematics with Applications
Authors:	Gupur Geni
Keywords:	M/M/1 queues

Abstract:

First, we prove that the M/M^B/1 operator is a conservative operator, thus showing that the M/M^B/1 queueing model has a unique positive time-dependent solution which satisfies the probability condition, and then prove that all points on the imaginary axis expect for zero belong to the resolvent set of this operator.

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