Page 19 - Facility Management Module

FACILITIES LOCATION

The optimum location will occur on the line of two location point.

(x1*,y1*) = 0.5 (c1 – c3, c1 + c3 + c5)
(x2*,y2*) = 0.5 (c2 – c4, c2 + c4 – c5)

Where c5 = max (c2 – c1, c4 – c3)

The maximum distance between the new facility and the existing facilities = c/2

Example 2.4:

Eight machines are to be maintained by crew from the central maintenance facility. The
coordinate locations of the machines are (0,0), (4,6), (10,4) (4,8), (2,4), (6,4), and (8,8) as in
Figure 2.6.

Figure 2.6: Location of machines

Solution:
c1 = min (ai + bi) = 0
c2 = max (ai + bi) = 16
c3 = min (-ai + bi) = -6

c4 = max (-ai + bi) = 4
c5 = max (c2 – c1, c4 – c3) = 16

(x1*,y1*) = 0.5 (c1 – c3, c1 + c3 + c5)
= 0.5 (6,10)

= (3,5)

(x2*,y2*) = 0.5 (c2 – c4, c2 + c4 – c5)
= 0.5 (12,4)

= (6,2)

BPLK 11 SUBJECT CODE