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- W202440713 abstract "A queueuing system (or, shortly, a queue) works as follows: there exist customers which want a service provided by some server. The service time is the time needed by the server to do its job. If a customer comes and there is at least another customer which is served, we say that the system is busy; otherwise, it is free. The discipline of the queue is the rule according to which the customers are served. The simplest is FCFS (First Come, First Served) which is also denoted by some authors by FIFO (First In, First Out). We know the queue when we know the arrival times and the service times. Let us denote by (tn)n≥1 the sequence of the arrival times and by (Sn)n the sequence of the service times. Thus tn is the moment when the n’th customer arrives in line and Sn is the time needed by the server to satisfy him. We can safely assume that the sequence (tn)n is non-decreasing and that Sn > 0 – there is no instantaneous service. We denote such a queuing system by [(Sn)n ; (tn)n] . The time when the nth customer is served will be denoted by τn. Remark that τn = tn + Wn + Sn , (1.1)" @default.
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- W202440713 date "2007-01-01" @default.
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- W202440713 title "COMPARISONS OF G/G/1 QUEUES" @default.
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