Abstract
Exact closed-form solution of (2-2)-thinning input queue with exponential single server is given in this paper. The (2-2)-thinning input queue is a special case of general (m-n)-thinning input queue. The (m-n)-thinning input process is constructed by thinning customers from a Poisson arrival process repeating the thinning procedure such that m-consecutive arrivals are picked up and next n-consecutive arrivals are discarded. Interarrival-time sequence of the (m-n)-thinning input process is not a sequence of i.i.d.r.v's. To analyse the (2-2)-thinning queue, generating function, phase-method, Rouche's theorem, and Sturm's theorem are used.
