4 Push vs. CONWIP Process Control Consider a process with three activities in se

Question

4 Push vs. CONWIP Process Control Consider a process with three activities in sequence, each with one resource, each with a processing time of one hour per unit, and each with a coefficient of variation equal to one (i.e, moderate variability in processing times). The coefficient of variation of inter-arrival times to each step of the process is also one (i.e., moderate variability in inter-arrival times). If we operate the process as a push system, we can use the waiting time equation to compute the average WIP level that would result from any given release rate of jobs (we'll assume the release rate is strictly less than process capacity and therefore the release rate is the flow rate (R). To do this, first note that the utilization of all stations is UTIL-capacity = .1- We can compute the flow time (Tinaion) at any of the three activities as the sum of waiting time (using the waiting time equation) and process time:

Explanation / Answer

Max for

6.

3 R= 0.9 WIP push 3R/(1-R) 27 4 WIP con 27 R= WIP/(WIP+2) 0.9310 5 profit 100R-0.1WIP

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