By Marc Schleyer

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Chaudhry and Templeton (1983) were motivated to publish a book about batch queues, in which they summarize, synthesize and, in some instances, extend the major topics. They study different models of batch arrival, batch service, and multichannel batch queues in detail. Before analytical models about batch queues are presented, they give a comprehensive introduction to the basic techniques used in their book. For batch arrival queues they study methods with fixed and random batch sizes. Furthermore, the authors consider a set of batch service models in which the batch size is fixed or random or controlled by a service strategy.

Batch Building - Capacity Rule In this section we introduce our first batch building mode called capacity rule. This rule means that a specific amount of k is always collected at the collecting station. We denote k as the collecting size. In material flow applications k is for example the capacity of the transportation carrier. 1. Given k, ai and yi , the waiting time distribution of an arriving customer wi and the interdeparture time distribution of the collected batches di can be determined. Both di and k can be used to describe the arrival stream for the succeeding node in a network.

Classification of queueing analysis in discrete time with regard to queueing analysis in continuous time and simulation The level of detail and the accuracy of queueing analysis in discrete time is limited compared to simulation. The user is restricted to analytical models which have been de2 3 Input data such as demand, processing times, quality rates, failure rates etc. Both the analytical calculations and the simulation runs are performed on a computer with an Intel Centrino processor. We used the simulation tool emPlant.

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