Question

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

Answer 1

Answer:

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