Unformatted text preview: p 3 = 10% probability going back to station 2, and 1-p 2-p 3 probability leaving the production system as a ﬁnished product. Assume that the processing times of jobs at each station are iid, having exponential distribution, regardless of the history of the jobs. The average processing times at stations 1, 2 and 3 are m 1 = 0 . 8, m 2 = 0 . 70 and m 3 = 0 . 8 hours, respectively. (a) Find the long-run fraction of time that there are 2 jobs at station 1, 1 job at station 2 and 4 jobs at station 3. (b) Find the long-run average (system) size at station 3. (c) Find the long-run average time in system for each job. (d) Reduce p 1 to 5%. Answer 1(c) again. What story can you tell?...
View Full Document
- Fall '07
- Poisson Distribution, Probability theory, Exponential distribution, Poisson process, Stochastic Manufacturing