Beneš method
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."[5]
References
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| Single queueing nodes | |
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| Arrival processes | |
| Queueing networks | |
| Service policies | |
| Key concepts | |
| Limit theorems | |
| Extensions | |
| Information systems | |
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