32 applications to queueing theory 321 gig1 queue

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Unformatted text preview: . . . . . 3.2 Applications to Queueing Theory 3.2.1 GI/G/1 queue . . . . . . 3.2.2 Cost equations . . . . . . 3.2.3 M/G/1 queue . . . . . . . 3.3 Age and Residual Life* . . . . . 3.3.1 Discrete case . . . . . . . 3.3.2 General case . . . . . . . 3.4 Chapter Summary . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 101 101 106 106 107 108 109 110 111 113 . . . . . . . . . iii iv CONTENTS 3.5 4 Exercises . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 113 Continuous Time Markov Chains 4.1 Definitions and Examples . . . . . . . 4.2 Computing the Transition Probability 4.3 Limiting Behavior . . . . . . . . . . . 4.4 Exit Distributions and Hitting Times . 4.5 Markovian Queues . . . . . . . . . . . 4....
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