5 Consider a production line of two stations in tandem Each

5. Consider a production line of two stations in tandem. Each station has a single server and a dedicated buffer (of infinite size) for its waiting jobs. The mean service times at station i is mi minutes, i = 1,2. Jobs arrive at station station 1 at rate lambda jobs/minute. Each job is processed at station 1 first, at station 2 next, and then exits the system. When a server is busy, the arriving job to the station waits in the buffer. When a server completes the processing of a job, it picks the next job from the buffer to process. For each scenario below, find the utilization for each station and the system throughput, the rate at which jobs leave station 2. (a) lambda = 2, m1 = .4, m2 = .45. (b) lambda = 2, m1 = .6, m2 = .45. (c) lambda = 2, m1 = .4, m2 = .6. (d) lambda = 2,m1= .6,m2 = .8.

Solution

A transfer line is a manufacturing system which consists of a predetermined sequence of machines connected by an automated material handling system and designed for working on a very small family of parts. Parts can be moved singularly because there