Consider a production line with three single-machine stations in series. Each has processing times with mean...
Consider a production line with three single-machine stations in series. Each has processing times with mean two hours and standard deviation of two hours.
a. Suppose we run this line as a push system and release jobs into it at a rate of 0.45 per hour with arrival variability given by Ca = 1. What is the average WIP in the line?
b. Compute the throughput of this line if it is run as a CONWIP line with a WIP level equal to your answer in (a). What is the throughput of the CONWIP line?
Homework Answers
Processing time (Mean) = 2 hours
Standard deviation = 2 hours
Rate of jobs = 0.45 per hours
Utilization Server (u) = 
= 0.015 per hour
Time spent in a station will be equal to 
Given, Ca = 1
Thus, Time spent in a station (CT) = 2.091 hours
(a) Average WIP = CT * TH
= 2.091 * (2/60) = 0.068 Jobs
(b) TH = 2/60
= 0.033
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