Markland First National Bank of Rolla utilizes Kanban techniques in its check processing facility. The fol-lowing information is known about the process. Each Kanban container can hold 50 checks and spends 24 minutes a day in processing and 2 hours a day in materials handling and waiting. Finally, the facility operates 24 hours per day and utilizes a policy variable for unforeseen contingencies of 0.25.

If there are 23 kanban containers in use the current daily demand of the check processing facility is units

the current daily demand of the check processing facility is 8000 units, and a 16 containers is required.

Explanation:

Solution

Given that,

(A) The calculation of delay demand is as follows:

K = (+_) (1 +) C

K = is the number of containers

d = the average delay demand

w = the waiting time per average per unit

p = the average processing time per unit

C = Container quantity

α = safe guard policy variable

Now,

The average processing  time = 2/24 * 60 =0.0167

The average waiting time is = 2/24 =0.083

The required number of container  = 20 = (0.083 + 0.0167 ) (1 + 0.25) /50

which is

20 * 50 = (0.1) (1.25)

Thus,

1000 / 0.125 = 8000

Now,

The average daily demand is 8000

The next step is to find out how many containers would be needed.

Now,

If there is no waste, it is = 0

The required  number of containers will be =

K = 8000 ( 0.083 + 0.0167) ( 1 + 0 )/ 50

= 8000/5= 16 Containers