This note reports the development of a new approximation formula for the mean wait in queue of a single-server queue. Use of the formula requires knowledge of only the first two (2) moments of the interarrival and service time distributions. Comparison of the proposed approximation to existing ...
Analytical Distribution of Waiting Time in the M/{iD}/1 Queue We give an analytical formula for the steady-state distribution of queue-wait in the M / G /1 queue, where the service time for each customer is a positive... JF Shortle,PH Brill - 《Queueing Systems Theory & Applications》...
Specialist literature on priority intersections provides formulas for calculating mean waiting-times and mean queue lengths for the traffic flow which has to give way (minor road). In the present paper, these results on mean values are extended to yield formulas for the corresponding distributions. ...
This paper solves the problem of finding exact formulas for the waiting time cdf and queue length distribution of first-in-first-out M / G /1 queues in equilibrium with Pareto service. The formulas derived are new and are obtained by directly inverting the relevant Pollaczek-Khinchin formula ...
The paper presents two formulas for the determination of the waiting-time distribution in a computer-controlled queuing system with Poisson input, multiple-exponential servers and first-come-first-served queue discipline. The formulas obtained are expressed in terms of the stationary-state probabilities ...
The resulting formula for total waiting time is amenable to desk computation and may be useful in estimating job flow time distributions in production control applications for which the first-come, first-served, steady-state model described below is applicable. Also, the method of proof may ...
xj(t),j = 1,2,...,k and e(t) are countingprocesses (see Borovkov (1980)).Also, let us define Wj(t) as a virtual waiting time of a customer in the j-th phase of the queue for time t (i. e., the timehe must wait to arrive at the j-th phase of the queue at time t...
specified in terms of ratios of mean waiting times, as long ago as the 1960s, Kleinrock suggested a queueing discipline to ensure that the targets are achieved. He proposed that customers accumulate priority as a linear function of their time in the queue: the higher the urgency of the ...
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Are you looking for a definition outside of that provided in the manuals provided by Nortel? They do provide two definitions dependent on wether your talking about queue intrinsics or realtime displays. The realtime dispay definition is (%Total Answered Delay/%Calls Answered), however the is ...