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Analysis of a Batch Server Operating according the Minimum Batch Size Rule

  • Author:

    Schleyer Marc und Kai Furmans

  • Source:

     6. International Conference on Analysis of Manufacturing Systems, Lunteren, The Netherlands, 187 – 192

  • Due to the improvement of efficiency, batch servers are very common in manufacturing systems. This paper presents an analytical method to calculate the distribution of the number of customers at the departure instant for the G/G[L,K]/1 batch server system operating according the minimum batch size rule. Under this rule, when the batch service ends and there are less than L (L<= K) customers waiting, the server remains idle until L customers are accumulated in the queue. We present an approximative approach and our analysis is done in the discrete time domain.