Q$.2(25$ pts$.)$:

A unit load AS$/$RS is to be designed to store $1200$ pallet loads in a warehouse. Standard

pallet dimensions are: width $=1000mm,$ length $=1200mm$; and the maximum height of a

unit load $=1300mm.$ Recommended allowances are $150mm$ in the direction of width, $300$

$mm$ in the direction of length, and $250mm$ in the direction of height. It is desired to design

the AS$/$RS with following specifications:

Random storage strategy

Crane horizontal and vertical speeds are the same and equal to $2\frac{m}{sec}.$

All cycles are single command cycles.

Rack maximum possible height is $8m.$

Rack length $L$ must be less than $36m$ as shown in the figure below.

Throughput rate is required to be $120$ single command cycles $\frac{?}{hr},$ assuming $100\%$ utilization.

Pick$-$up and deposit time is $7\mathrm{.}5$ sec$.$

That is you need to determine:

a$-$ The length $L$ of the aisles

b$-$ Number of compartments in the direction of the length

c$-$ Number of compartments in the direction of the height

d$-$ Number of aisles $n$ needed

e$-$ The total floor area directly occupied by all aisles together