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are asked to analyze the kanban system of LeWin, a French manufacturer of gaming

ID: 342664 • Letter: A

Question

are asked to analyze the kanban system of LeWin, a French manufacturer of gaming devices. One of the worksta- tions feeding daily demand for M ing time per unit is 0.003 day. LeWin's records show that the average container spends 1.05 days waiting at the feeder workstation. The container for M670N can hold 300 units. Twelve containers are authorized for the part. Recall that p is the average processing time per container, not per individual part. the assembly line produces part M670N. The 670N is 1,800 units. The average process- Find the value of the policy variable, , that expresses the amount of implied safety stock in this system. a. b. Use the implied value of from part (a) to determine the required reduction in waiting time if one container was removed. Assume that all other parameters remain constant.

Explanation / Answer

a)

Daily demand (d) = 1800

Average processing time per container (pbar) = 0.003 day

Average waiting time per container (wbar) = 1.05 days

No. of units each container can hold ( c) = 300 units

No. of container (k) = 12

Policy variable (alpha) = alpha

K= d*(wbar + pbar)*(1+alpha)/c

12= 1800(1.05 +0.003)*(1+)/300

12=6(1.053)(1+ )

=1.899-1

   =0.899

b)

Use alpha =0.899 to determine the required reduction in waiting time if 1 container is removed.

K= d*(wbar + pbar)*(1+alpha)/c

wbar + pbar = k*c/d*(1+alpha) = 12*300/1800*(1+0.899)=1.0532

wbar = 1.05090 day

reduction in waiting time = (1.05-1.0509)/1.05 =- 0.0857%