In queueing theory, a discipline within the mathematical theory of probability, Beneš approach[1] or Beneš method[2] is a result for an exact or good approximation to the probability distribution of queue length.
It was introduced by Václav E. Beneš in 1963.
[3] The method introduces a quantity referred to as the "virtual waiting time" to define the remaining workload in the queue at any time.
This process is a step function which jumps upward with new arrivals to the system and otherwise is linear with negative gradient.
[4] By giving a relation for the distribution of unfinished work in terms of the excess work, the difference between arrivals and potential service capacity, it turns a time-dependent virtual waiting time problem into "an integral that, in principle, can be solved.