On Regenerative Processes in Queueing Theory (Paperback, Softcover reprint of the original 1st ed. 1976)

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 actual waiting time iv. The relation between the distribution of the idle 20 period and the stationary distribution of the actual waiting time v. The limiting distribution of the residual service 24 time GBP. , -pw vi. The relation for ~ rn E{e -n} 25 n=O 1. 7 Some notes on chapter I 27 II. The M/G/K system 31 2. 1 On the stationary distribution of the actual and virtua131 waiting time for the M/G/K queueing system 2. 2 The M/G/K loss system 36 2. 3 Proof of Erlang's formula for the M/G/K loss system 43 i. Proof for the system MIMI'" 45 ii. Proof for the system M/G/co 47 VI iii. Proof fol' the MIG IK los s system III. The M/G/1 system 3. 1 Introduction 71 (K) 3. 2 Downcrossings of the ~t -process 74 3. 3 The distribution of the supremum of the virtual waiting 75 * (00) d' b 1 tlme ~t urlng a usy cyc e i. The exit probability 76 ii.

General

Imprint:	Springer-Verlag
Country of origin:	Germany
Series:	Lecture Notes in Economics and Mathematical Systems, 121
Release date:	March 1976
First published:	1976
Authors:	Jacob Willem Cohen
Dimensions:	244 x 170 x 5mm (L x W x T)
Format:	Paperback
Pages:	93
Edition:	Softcover reprint of the original 1st ed. 1976
ISBN-13:	978-3-540-07627-8
Categories:	Books > Business & Economics > Business & management > Management & management techniques > Operational research
LSN:	3-540-07627-1
Barcode:	9783540076278

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