Journal ArticleDOI
A continuous approximation for batch arrival queues with threshold
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A diffusion process is approximated by a diffusion process with an instantaneous return boundary to derive the system size distribution at an arbitrary time point of batch arrival queues with threshold.About:
This article is published in Computers & Operations Research.The article was published on 1996-03-01. It has received 10 citations till now. The article focuses on the topics: Renewal theory.read more
Citations
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A diffusion model approximation for the GI/G/1 queue in heavy traffic
TL;DR: For the single-server queue with renewal input, heavy traffic approximations for the time-dependent distributions of queue length and virtual delay are obtained by constructing approximating diffusion processes.
Journal ArticleDOI
Queues with hysteretic control by vacation and post-vacation periods
TL;DR: The paper investigates the queueing process in stochastic systems with bulk input, batch state dependent service, server vacations, and three post-vacation disciplines using a semi-regenerative approach and enhances fluctuation techniques preceding the analysis of queueing systems.
Journal Article
Diffusion Models for Computer/Communication Systems
TL;DR: The purpose of this paper is to provide some basic concepts and issues in diffusion modeling and a bibliographical guide to diffusion models for queues that are typically found in computer/communication systems.
Book ChapterDOI
Single Server Queueing System with Poisson Input: A Review of Some Recent Developments
TL;DR: The purpose of this paper is to make a comprehensive survey of many interesting results that have appeared recently with a view to unify the results and to derive some new ones.
Journal ArticleDOI
Bulk input queues with hysteretic control
TL;DR: This paper deals with a bulk input-batch service queueing system and (r,N)-hysteretic control, i.e., under N-policy and r-quorum discipline, which includes state dependent service.
References
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Journal ArticleDOI
Diffusion processes in one dimension
TL;DR: In this paper, it was shown that the semi-groups constructed in [2] permit us to describe the totality of all stochastic processes connected with (1.1).
Journal ArticleDOI
Queueing Systems with a Removable Service Station
TL;DR: A single-server queueing system with constant Poisson input is considered and the partial elimination of the service station's idle fraction is envisaged by intermittent close-down and set-up.
Journal ArticleDOI
On Queues in Heavy Traffic
TL;DR: In this article, it was shown that when the traffic intensity p is less than, but very near, unity, then the equilibrium waiting time w will be large, and it is proved that, under certain conditions, the result holds under somewhat weaker conditions.
Journal ArticleDOI
Analysis of the M x/G/1 queue by N-policy and multiple vacations
TL;DR: In this paper, the authors considered an Mx /G/1 queueing system with N-policy and multiple vacations and derived the system size distribution and the queue waiting time distribution and derived a condition under which the optimal stationary operating policy is achieved under a linear cost structure.
Journal ArticleDOI
Control policies for the M X /g/ 1 queueing system
TL;DR: The M X /G/1 queueing system is studied under the following two situations: at the end of a busy period, the server is turned off and inspects the length of the queue every time an arrival occurs, and when the queue length reaches, or exceeds, a pre-specified value m for the first time.
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