Queues Applied to Telecoms

Notations

Numerals

0	Vector with coordinates of zeroMatrix with coordinates of zero
1	Matrix whose coordinates are all equal to 1
1(s, t)	Indicator function of the interval (s, t)

Latin lower-case letters

ai, j, k	Any constant indexed by i, j and k
as	Distribution of the number of customers who arrive while another customer is being served
b	Offered traffic per free source
bi	Normalization constant for a queue i
c	Length of any pathAverage frequency of accepted requests
cA	Average frequency of all requests
cR	Average frequency of refused requests
d	Any durationDelay time
	Average duration of a call
det	Determinant of a matrix
di	Duration of the i-th call
diag	Diagonal function for creating a diagonal matrix
dq	Waiting time for delayed requests
dt	Very short interval of time
ei	Vector whose i-th coordinate is equal to 1 and the others are zero
exp	Exponential with base e
f(x)	Probability density function for any random variable
fx	Probability density function for a random variable X
g(x)	Probability density function for any random variable
h	Average holding time
h(X)	Entropy of a random variable X
hi	Average duration of the i-th holding time
i	Any natural integerAny state of a Markov chain
i.i.d	Independent and identically distributed
ik	Any state of a Markov chain
j	Any natural integerAny state of a Markov chain