MGOC10H3 Lecture Notes - Lecture 11: Poisson Distribution, Busy Signal, Internet Service Provider
Document Summary
Lecture 11: single server model with poisson arrivals and arbitrary service times - (m/g/1) : (fcfs/ / ) Let the # of arrivals in given time period be poisson but service times are some other general distribution. (cid:540) = customer arrival rate (eg. 5 customer /hr) = service rate (eg. 7 customer /hr) We can compute p0, l, lq, w, wq, but no nice formula for probability of n customer pn. For steady state to occur we need (cid:540)/ < 1. The prob. arriving unit has to wait for service = pw = 1- p0 = (cid:540)/ . Other performance measures can be determine from little"s formulas . L = (cid:540)w lq = (cid:540)wq w = wq + 1/(cid:541) l = lq + (cid:540) / . Note: if service time is constant or deterministic, then model is (m/d/1) : (fcfs/ / ) A manufacturing company has a parts washing station that operates with one machine.
