# Approximations for Overflows from Queues with a Finite Waiting Room

## Related Articles

- Approximations of the Mean Waiting Time in an M/G/s Queueing System. Boxma, O. J.; Cohen, J. W.; Huffels, N. // Operations Research;Nov/Dec79, Vol. 27 Issue 6, p1115
This paper considers the problem of obtaining approximate expressions for the first moment w[sub Gs] of the stationary waiting time distribution in an M/G/s queueing system Special attention is paid to the case G Is equivalent to D, i.e. constant service times Most known approximations are in...

- A PÃ“LYA APPROXIMATION TO THE POISSON-BINOMIAL LAW. Skipper, Max // Journal of Applied Probability;Sep2012, Vol. 49 Issue 3, p745
Using Stein's method, we derive explicit upper bounds on the total variation distance between a Poisson-binomial law (the distribution of a sum of independent but not necessarily identically distributed Bernoulli random variables) and a PÃ³lya distribution with the same support, mean, and...

- ASYMPTOTIC INDEPENDENCE OF COUNTS IN ISOTROPIC PLANAR POINT PROCESSES OF PHASE-TYPE. Remiche, Marie-Angie // Advances in Applied Probability;Jun2000, Vol. 32 Issue 2, p363
Studies the isotropic planar point processes of phase-type which are generalizations of the Poisson process of the plane. Isotropic property of processes; Processes' dependence of counts in disjoint sets; Asymptotic Poisson distribution in number of points in a square window.

- ON THE ASYMPTOTIC DISTRIBUTION OF THE DISCRETE SCAN STATISTIC. Boutsikas, Michael V.; Koutras, Markos V. // Journal of Applied Probability;Dec2006, Vol. 43 Issue 4, p1137
The discrete scan statistic in a binary (0-1) sequence of n trials is defined as the maximum number of successes within any k consecutive trials (n and k, n â‰¥ k, being two positive integers). It has been used in many areas of science (quality control, molecular biology, psychology, etc.)...

- Approximation of a Sample by a Poisson Point Process. Zaitsev, A. // Journal of Mathematical Sciences;Jul2005, Vol. 128 Issue 1, p2556
It is shown that the results obtained earlier for the rate of approximation of convolutions of probability distributions by the accompanying infinitely divisible laws may be interpreted as estimates of the rate of approximation of a sample by a Poisson point process. The most interesting results...

- THE NUMBER SERVED IN A QUEUE. Greenberg, Harold; Greenberg, Irwin // Operations Research;Jan/Feb66, Vol. 14 Issue 1, p137
A single-server queue with Poisson arrivals and exponential service is studied to obtain the joint probability distribution of the number in the system at time t and the cumulative number already served at time t. The probability that k are served in time t is then determined.

- Poisson Twister Generator by Cumulative Frequency Technology. Deon, Aleksei F.; Menyaev, Yulian A. // Algorithms;Jun2019, Vol. 12 Issue 6, p114
The widely known generators of Poisson random variables are associated with different modifications of the algorithm based on the convergence in probability of a sequence of uniform random variables to the created stochastic number. However, in some situations, this approach yields different...

- Moment Generating Functions of Observed Gaps between Hypopnea Using Saddlepoint Approximations. Saat, Nur Zakiah Mohd; Jemain, Abdul Aziz // Proceedings of World Academy of Science: Engineering & Technolog;Apr2008, Vol. 40, p112
Saddlepoint approximations is one of the tools to obtain an expressions for densities and distribution functions. We approximate the densities of the observed gaps between the hypopnea events using the Huzurbazar saddlepoint approximation. We demonstrate the density of a maximum likelihood...

- COMPOUND POISSON LIMITS FOR HOUSEHOLD EPIDEMICS. Neal, Peter // Journal of Applied Probability;Jun2005, Vol. 42 Issue 2, p334
We consider epidemics in populations that are partitioned into small groups known as households. Whilst infectious, a typical infective makes global and local contact with individuals chosen independently and uniformly from the whole population or their own household, as appropriate. Previously,...