Example 7.8

You are the shop floor manager and jobs arrive with Poisson distribution at the rate of 18 jobs per hour. The average time needed to process and finish a job is 5 minutes. Remember your shop floor can accommodate a maximum of 30 jobs. If the shop floor is full then jobs are either send to the other shop floor or kept in the bay. With this information determine the following
(i) The probability that a arriving job will not be processes because as the shop floor is filled up with unfinished jobs?
(ii) The probability that any job arriving has to wait (or will have a waiting time) as the previous job(s) are being processed.
(iii) The average number of jobs in the shop floor.

Solution 7.8