Carte On Regenerative Processes in Queueing Theory Jacob Willem Cohen

On Regenerative Processes in Queueing Theory

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Legare: Carte broșată
Disponibilitate: În depozitul extern
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276.42 lei
I. The single server queue GIIG/1 1 1. 1 Definitions 1 1. 2 Regenerative processes 2 1. 3 The sequen...

Informații despre carte

Limbă
engleză
Legare
Carte - Carte broșată
Publicat
1976
Pagini
93
EAN
9783540076278
ISBN
9783540076278
Enbook ID
06623465
Greutate
205
Dimensiuni
170 x 244 x 7

Descriere completă

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 Pds. . , -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.

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