The workload in the M/G/1 queue with work removal
We consider an M/G/1 queue with the special feature of additional negative customers, who arrive according to a Poisson process. Negative customers require no service, but at their arrival a stochastic amount of work is instantaneously removed from the system. We show that the workload distribution in this M/G/1 queue with negative customers equals the waiting time distribution in a GI/G/1 queue with ordinary customers only; the effect of the negative customers is incorporated in the new arrival process.
|Department of Operations Research, Statistics, and System Theory [BS]|
|Organisation||Combinatorial Optimization and Algorithmics|
Boucherie, R.J, & Boxma, O.J. (1995). The workload in the M/G/1 queue with work removal. Department of Operations Research, Statistics, and System Theory [BS]. CWI.