Page 19 - Facility Management (All Chapter)
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FACILITIES LOCATION
The objective of minimax location model is to minimize the maximum distance
between the new facility and any existing facility. The minimax location problem is
formulated as below:
Formula 2.7: Minimax location model
The conditions for achieving the minimax solution are:
c1 = min (ai + bi)
c2 = max (ai + bi)
c3 = min (-ai + bi)
c4 = max (-ai + bi)
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
BPLK 19 DMQ 40392
