
Accession Number : AD0652833
Title : THE MATHEMATICAL THEORY OF A STATIONARY QUEUE,
Corporate Author : RAND CORP SANTA MONICA CALIF
Personal Author(s) : Khinchin,A. Ya.
Report Date : 23 MAY 1967
Pagination or Media Count : 16
Abstract : The case of a single channel is treated under the assumption that the sequence of waiting times is stationary (in mean neither increasing nor decreasing) and the service times have an arbitrary distribution (with characteristic function psi(xi)). The relative lengths P(k) of the time intervals with k customers waiting is determined by recurrence formulas. Formula (5) gives the mean waiting time gamma; mu k signifies here the kth moment of the distribution of waiting times and alpha denotes the traffic intensity. The formula for phi(xi) gives an expression for the characteristic function for the waiting time distribution. Finally, formula (9) gives the variance of the waiting times.
Descriptors : (*QUEUEING THEORY, MATHEMATICS), (*TELEPHONE SYSTEMS, QUEUEING THEORY), USSR, TELEPHONE EQUIPMENT, PROBABILITY, OPERATIONS RESEARCH, STOCHASTIC PROCESSES, THEORY
Subject Categories : Statistics and Probability
Operations Research
Nonradio Communications
Distribution Statement : APPROVED FOR PUBLIC RELEASE