Page 18 - Facility Management Module
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FACILITIES LOCATION
3. X optimum is define if partial sum first equal or exceeds one-half the total
4. Repeat steps to get the optimum value of Y.
The total weighted distance resulting from the location x = (5, 4) is:
Minimum f(x) = max [(│x -ai │ + │y – bi │, I = 1,2,…m]
Formula 2.6: Total weight distance
f(5,4) = 5(I5 - 11 + I4 – 1I) + 6(I5 – 5I + I4 – 2I) + 2(I5 – 2I + I4 – 8I) +
4(I5 – 4I + I4 – 4I) + 8(I5 – 8I + I4 – 6I)
= 35 + 12 + 14 + 4 + 40
= 105
2.4.3 Minimax Location Model
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)
BPLK 10 SUBJECT CODE
