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Stochastic Modeling and Analysis of Telecoms Networks by Pascal Moyal, Laurent Decreusefond

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Index

 

 

 

Symbol

δ

A

A

B

backwards

recurrence scheme

coupling

C,D

compensator

DxF

E

ergodic

lemma

probability

quadruple

sequence

theorem

I

image measure

infinitesimal generator

integration by parts

interchange argument for i.i.d. sequences

K,L

Kronecker

product

sum

l2(E,π)

l(E)

M

Markov chain

embedded

Markov Modulated Poisson Processes

(MMPP)

IPP

Markov process

regular

martingale

convergence

decomposition

local

stopped

sub-martingale

super martingale

monotone class

O

operator

carrè du champ

shift

transition operator

ordering

coordinatewise

Schur-convex

strong

P

PASTA

point process

integrable

marked

superposition

Poisson process

compound

displacement

Glauber

intensity

superposition

thinning

Pollacek-Khinchin formula

predictable

measure

process

probability

blocking

conditional

loss

overflow

process

Birth and Death

reversible

Q, R

queue

Engset

G/G/1

G/G/S

IPP/M/S/S

load limitation

loss

M/M/1

M/M/1/1 + C

M/M/∞

M/M/S/S

M/M/S/∞

MMPP/M/S/S

processor sharing

renovating events

right-continuous with left-limits functions (rcll)

S

semi-group

service policy

conservative

EDF

FIFO, FCFS

LIFO, LCFS

preemptive

SRPT

simulation

MMPP

Poisson-Glauber

Markov process

state

cemetery

periodic

recurrent

null recurrent

positive recurrent

transient

stationary

probability

sequence

Stein method

Stieltjes integral

Strassen's theorem

T

time

sojourn

waiting

W

workload sequence

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