Batch service systems with heterogeneous servers |
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Authors: | van Ommeren Jan-Kees Baer Niek Mishra Nishant Roy Debjit |
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Institution: | 1.Stochastic Operations Research, University of Twente, Postbox 217, 7500 AE, Enschede, The Netherlands ;2.Center for Operations Research and Econometrics, UCLouvain, Louvain-la-Neuve, 1348, Belgium ;3.Production and Quantitative Methods Area, Indian Institute of Management Ahmedabad, Ahmedabad, India ; |
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Abstract: | Bulk-service multi-server queues with heterogeneous server capacity and thresholds are commonly seen in several situations such as passenger transport or package delivery services. In this paper, we develop a novel decomposition-based solution approach for such queues using arguments from renewal theory. We then obtain the distribution of the waiting time measure for multi-type server systems. We also obtain other useful performance measures such as utilization, expected throughput time, and expected queue lengths. |
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