e with mean 1/μ to process a job. Arriving jobs join a single line and are processed by the next availa he system at time t. What must be true of μ for X to be a positive recurrent Markov chain? μ >1/2 H>2 ≥ 1/3 >1/3 None of the other choices.
e with mean 1/μ to process a job. Arriving jobs join a single line and are processed by the next availa he system at time t. What must be true of μ for X to be a positive recurrent Markov chain? μ >1/2 H>2 ≥ 1/3 >1/3 None of the other choices.
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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Transcribed Image Text:Jobs arrive at a processing station according to a Poisson process with rate 1. The processing station has three processors, each processor takes an exponentially distributed
time with mean 1/μ to process a job. Arriving jobs join a single line and are processed by the next available processor in the order of arrival. Let X(t) denote the number of jobs
in the system at time t. What must be true of μ for X to be a positive recurrent Markov chain?
μ > 1/2
H>2
μ≥1/3
p>1/3
None of the other choices.
0 0 0 0 0
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