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A note on the conservation law for queues with batch arrivals
IEEE Transactions on Communications, 1993The conservation law formula for work-conserving queues with batch arrivals is derived for when the arrival instants of customers are assumed to constitute an arrivals see time averages (ASTA) process. The derivation is based on the analysis of the corresponding first-in first-out (FIFO) multiclass queue and its steady state.
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Some considerations on batch arrival and batch analysis in analytical laboratories
Analytica Chimica Acta, 1981Abstract The mean delay of analytical results is an important parameter in the performance of analytical laboratories. The modes of sample arrival and processing influence that delay. By the application of queueing theory and digital simulation, the effects of batch arrival and batch processing on the delay are estimated.
J.G. Vollenbroek, B.G.M. Vandeginste
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A conservation law for queueing systems with batch arrivals
J. Inf. Process. Cybern., 1987In this note a conservation law for the stationary mean waiting times of customers in a single server queueing system with batch arrivals is derived. Given examples of queueing systems show that the conservation law can serve as a useful tool for checking analytic and numerical computations.
Hannelore Sulanke, Klaus Arndt
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Queueing Model with Time-Phased Batch Arrivals
2007A 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 +2 more
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Sample-path analysis of queues with batch arrivals
Computers & Industrial Engineering, 2014In 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 ...
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Batch arrival queue with N-policy and single vacation
Computers & Operations Research, 1995The 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 +3 more
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Queues with batch poisson arrivals and hyper‐exponential service
Naval Research Logistics Quarterly, 1965AbstractWe 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.
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Rare event analysis of batch-arrival queues
Telecommunication Systems, 1996This 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.
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Queues with batch arrivals. II
Acta Mathematica Academiae Scientiarum Hungaricae, 1965Foster, F. G., Perera, A. G. A. D.
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