Complete characterisation of the customer delay in a queueing system with batch arrivals and batch service
نویسندگان
چکیده
منابع مشابه
Complete characterisation of the customer delay in a queueing system with batch arrivals and batch service
Abstract Whereas the buffer content of batch-service queueing systems has been studied extensively, the customer delay has only occasionally been studied. The few papers concerning the customer delay share the common feature that only the moments are calculated explicitly. In addition, none of these surveys consider models including the combination of batch arrivals and a server operating under...
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Abstract In this paper, we compute the probability generating functions (PGF’s) of the customer delay for two batch-service queueing models with batch arrivals. In the first model, the available server starts a new service whenever the system is not empty (without waiting to fill the capacity), while the server waits until he can serve at full capacity in the second model. Moments can then be o...
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Most research concerning batch-service queueing systems has focussed on some specific aspect of the buffer content. Further, the customer delay has only been examined in the case of single arrivals. In this paper, we examine three facets of a threshold-based batch-service system with batch arrivals and general service times. First, we compute a fundamental formula from which an entire gamut of ...
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ژورنال
عنوان ژورنال: Mathematical Methods of Operations Research
سال: 2009
ISSN: 1432-2994,1432-5217
DOI: 10.1007/s00186-009-0297-2