
On Regenerative Processes in Queueing Theory
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I. The single server queue GIIG/1 1 1. 1 Definitions 1 1. 2 Regenerative processes 2 1. 3 The sequence n 1,2, . . . 4 = !::!n'' 1. 4 The process t dO,co)} 11 {~t'' The process t dO,co)} 1. 5 15 {~t'' Applications to the GIIG/1 queue 1. 6 16 The average virtual waiting time during a busy 17 cycle ii. Little''s formula 17 iii. The relation between the stationary distributions 18 of the virtual and a...
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I. The single server queue GIIG/1 1 1. 1 Definitions 1 1. 2 Regenerative processes 2 1. 3 The sequence n 1,2, . . . 4 = !::!n'' 1. 4 The process t dO,co)} 11 {~t'' The process t dO,co)} 1. 5 15 {~t'' Applications to the GIIG/1 queue 1. 6 16 The average virtual waiting time during a busy 17 cycle ii. Little''s formula 17 iii. The relation between the stationary distributions 18 of the virtual and a...
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