Results 261 to 270 of about 594,417 (290)

Queueing Model with Time-Phased Batch Arrivals

2007
A novel multi-server queueing model with finite buffer and batch arrival of customers is considered. In contrast to the standard batch arrival when a whole batch arrives into the system at one epoch, we assume that the customers of a batch arrive one by one in exponentially distributed times. Service time is exponentially distributed.
Moon Ho Lee, Sergey A. Dudin, Valentina I. Klimenok   +2 more
openaire   +1 more source

Sample-path analysis of queues with batch arrivals

Computers & Industrial Engineering, 2014
In this article we give a deterministic sample path general relationship that relates workload and batch delays, and use it to extend the Pollaczek-Khintchine formula for a batch arrival single-server queueing model. We also give a conservation law for the same system with multiple classes that leads to new versions of conservation laws for Poisson ...
openaire   +1 more source

Batch arrival queue with N-policy and single vacation

Computers & Operations Research, 1995
The authors consider a production system which can be modelled as an \(M^ X/G/1/N\)-policy queue with single vacation. When the server returns from the vacation he waits in the system until the system size reaches or exceeds \(N\). They show that the system size distribution decomposes into two random variables one of which is the system size of the ...
LEE, SS, LEE, HW, YOON, SH, CHAE, KC Chae, Kyung-Chul   +3 more
openaire   +1 more source

Queues with batch poisson arrivals and hyper‐exponential service

Naval Research Logistics Quarterly, 1965
AbstractWe consider in this paper the queueing system in which the input is in batches of variable numbers following a Poisson distribution; queue discipline is “first come first served,” it being assumed that the batches are preordered for service purposes; and service time distribution is hyperexponential with n branches. The Laplace transform of the
Gupta, S. K., Goyal, J. K.
openaire   +1 more source

Rare event analysis of batch-arrival queues

Telecommunication Systems, 1996
This paper deals with the analysis of small overflow probabilities in single-server queues with batch arrivals. First, for the class of GI X /G/1 queues we give analytical expressions for the decay rate (in the buffer size) of these probabilities. In case of Poisson arrivals, effective bandwidth results are deduced.
openaire   +2 more sources

POLLING SYSTEMS WITH SIMULTANEOUS BATCH ARRIVALS

Stochastic Models, 2001
We study the delay in polling systems with simultaneous batch arrivals. Arrival epochs are generated according to a Poisson process. At any arrival epoch, batches of customers may arrive simultaneously at the different queues, according to a general joint batch-size distribution.
openaire   +1 more source

Queues with batch arrivals. II

Acta Mathematica Academiae Scientiarum Hungaricae, 1965
Foster, F. G., Perera, A. G. A. D.
openaire   +2 more sources

M/G/∞ with batch arrivals

Operations Research Letters, 1988
J Keilson, A Seidmann
openaire   +1 more source

Analysis of a population model with batch Markovian arrivals influenced by Markov arrival geometric catastrophes

Communications in Statistics - Theory and Methods, 2021
Nitin Kumar, U C Gupta
exaly  

Stationary joint distribution of a discrete-time group-arrival and batch-size-dependent service queue with single and multiple vacation

Communications in Statistics - Theory and Methods, 2023
Sourav Pradhan
exaly