Analysis of threshold-based batch-service queueing systems with batch arrivals and general service times
نویسندگان
چکیده
منابع مشابه
Analysis of threshold-based batch-service queueing systems with batch arrivals and general service times
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 ...
متن کاملDelay analysis of two batch-service queueing models with batch arrivals: GeoX/Geoc/1
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...
متن کاملInfinite-server Queues with Batch Arrivals and Dependent Service Times
Motivated by large-scale service systems, we consider an infinite-server queue with batch arrivals, where the service times are dependent within each batch. We allow the arrival rate of batches to be time-varying as well as constant. As regularity conditions, we require that the batch sizes be i.i.d. and independent of the arrival process of batches, and we require that the service times within...
متن کاملComplete 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...
متن کاملtwo server queueing system with single and batch service
a two server queueing system with single and batch service is considered in this paper. the arrival process is assumed to be poisson and the service rate follows an exponential distribution. server-i serves the customers in both single and batch service, while server-ii serves the customers in batch service only. the laplace transform of the transient and steady state behavior of the model is c...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Performance Evaluation
سال: 2011
ISSN: 0166-5316
DOI: 10.1016/j.peva.2011.03.007