Consider a rectangular warehouse of dimension 4 by 4 bays. Each storage bay is o

ID: 3108448 • Letter: C

Question

Consider a rectangular warehouse of dimension 4 by 4 bays. Each storage bay is of size 20 x 20 ft.

Three products A, B and C routinely arrive to the warehouse. The warehouse comprises only one dock located at the North-East corner.

Product A represents 30% of the input/output activity, Product B represents 30% of this activity, and Product C represents 40% of this activity.

Product A requires 5 storage locations.

Product B requires 5 storage locations.

Product C requires 6 storage locations

a) Find the optimum dedicated-storage layout;

b) Find the expected distance traveled for dedicated storage;

TA = number of trips in/out of storage for product A = 30x

TB = number of trips in/out of storage for product B = 30x

TC = number of trips in/out of storage for product B = 40x

SA = number of storage locations required by product A = 5

SB = number of storage locations required by product B = 5

SC= number of storage locations required by product B = 6

TA / SA = 6x , TB / SB = 6x and TC / SC = 6.66x

So, Product C is having higher priority. hence the allocation and the expected distances are as following:

#5
I

#12
IV

I represents shortest distance from dock = 20/4 = 5

II represents shortest distance from dock = 2 x 5 = 10.00

III represents shortest distance from dock = 3 x 5 = 15.00

IV represents shortest distance from dock = 4 x 5 = 20.00

The distance from north-east i.e. top-right located dock to each location is calculated as follows

since the priority of C is more than A and B and priority of A and B are almost same; thus A and B can be allocated in remaining locations anywhere.

Expected distance traveled = dock to storage+ storage to dock

= 0+2x5+3x10+4x15+20x3+25x2+30+ 0+2x5+3x10+4x15+20x3+25x2+30

= 480

Expected distance travelled = 480

#1
I #2
II #3
III #4
IV

#5
I

#6
II #7
III
#8
IV #9
I
#10
II
#11
III

#12
IV

#13
I
#14
II
#15
III #16
IV

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