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Rick’s vacuum of Muncie uses the pull method to supply hoses to an assembly line. Rick’ss...

Rick’s vacuum of Muncie uses the pull method to supply hoses to an assembly line. Rick’ss employee Dave Carey is in charge of the assembly line, which requires 900 hoses per day. One containers typically waits 6 hours in the fabrication cell. Each container holds 400 hoses, and one container requires 43 hours in processing time. Setup time is zero. Currently 5 containers are used for this item. 1 day is equal to 24 hours.

A. What is the average waiting time for one container expressed in days.

B. What is the average processing time for one container expressed in days

C. What is the value of the policy variable alpha

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Answer #1

(A) Average waiting time for one container expressed in days = 0.2083 days

6hrs / 24hrs = 0.2500 days

(B) Average processing time for one container expressed in days = 1.7916 days

Processing time per container = 43 hrs / 24 hrs = 1.7916 days

(C) Value of the policy variable alpha

Number of containers = 5

Demand rate = 900 per day

Container size = 400 hoses

Container size x Number of containers = Demand rate x (Average processing time for one container + Average waiting time for one container) x (1 + α)
i.e 400 x 5 = 900 x (1.7916 + 0.2500) x (1+α)
i.e 2,000 = 220 x (1 + α)
i.e α = 1.088 or 108.8731%

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