Performance Sensitivity to the High-Order Statistics of Time Interval Variables in Cellular Networks

Table 1

Symbols and notation used throughout the paper.

Variable	Description
	Probability of choosing the phase i (for ) of the hyper-Erlang distribution of m^(n) phases used to characterize the cell dwell time.
	Probability of choosing the phase i (for ) of the hyper-Erlang distribution of m^(n) phases used to characterize the residual cell dwell time.
	Inverse of the mean sojourn time in every stage of the i-th phase of the hyper-Erlang distribution used to characterize the cell dwell time.
	Inverse of the mean sojourn time in every stage of the i-th phase of the hyper-Erlang distribution used to characterize the residual cell dwell time.
1/η	Mean value of .
λn (λh)	Mean arrival rate for new calls (handoff attempts).
1/μ	Mean value of unencumbered service time.
	Total number of stages of the hyper-Erlang distribution used to characterize the cell dwell time.
	Total number of stages of the hyper-Erlang distribution used to characterize the residual cell dwell time.
ac	Carried traffic.
CDF	Cumulative distribution function.
DT	Cell dwell time.
CHTh	Channel holding time for handed off calls.
CHTn	Channel holding time for new calls.
	Probability density function of Xr.
	Cumulative probability distribution function (CDF) of Xd
	State variables vector.
pdf	Probability density function.
N	Total number of reserved channels per cell for handoff prioritization.
	Handoff failure probability.
	New call blocking probability.
	Forced call termination probability in cell j.
	Global forced call termination probability.
RDT	Residual cell dwell time.
S	Total number of channels per cell in the system.
	Number of stages of the i-th phase of the hyper-Erlang distribution used to characterize the cell dwell time.
	Number of stages of the i-th phase of the hyper-Erlang distribution used to characterize the residual cell dwell time.
IT	Unencumbered interruption time.
	Channel holding time in the j-th handed off cell (for j = 0, 1, …).
	Cell dwell time in the j-th handed off cell (for j = 0, 1, …) irrespective of whether it is engaged in a call or not.
	Random variables used to represent the cell dwell time.
	Unencumbered call interruption time.
	Random variables used to represent the unencumbered call interruption time.
xr	Residual cell dwell time.
Xr	Random variable used to represent the residual cell dwell time.
xs	Call holding time per call.
Xs	The random variable used to represent the call holding time.