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Bulk queue
In queueing theory, a discipline within the mathematical theory of probability, a bulk queue (sometimes batch queue) is a general queueing model where jobs arrive in and/or are served in groups of random size. Batch arrivals have been used to describe large deliveries and batch services to model a hospital out-patient department holding a clinic once a week,〔 a transport link with fixed capacity and an elevator.
Networks of such queues are known to have a product form stationary distribution under certain conditions. Under heavy traffic conditions a bulk queue is known to behave like a reflected Brownian motion.
==Kendall's notation==
In Kendall's notation for single queueing nodes, the random variable denoting bulk arrivals or service is denoted with a superscript, for example M''X''/M''Y''/1 denotes an M/M/1 queue where the arrivals are in batches determined by the random variable ''X'' and the services in bulk determined by the random variable ''Y''. In a similar way, the GI/G/1 queue is extended to GI''X''/G''Y''/1.〔
抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』
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