Page 17 - Facility Management (All Chapter)

FACILITIES LOCATION

The objective of minisum location model is to minimize the sum of the weight

distances between the new facility and the other existing facilities.The minisum location
problem is formulated as below:

Formula 2.5 : Minisum location model

Where f(x) = total cost of travel between new facility and existing facility
wi = the weighted score

x = x-coordinate for new facility
y = y-coordinate for new facility
ai = x-coordinate for existing facility
bi = y-coordinate for existing facility

Example 2.4:

In order to illustrate how one determines the optimum solution to the minisum problem,
consider an example involving the minisum location of a new machine tool in a
maintenance department. Suppose there are five existing machines that have a
material handling relationship with the new machine.

The existing machines are located at the points P1 = (1, 1), P2 = (5, 2), P3 = (2, 8),
P4 = (4, 4), and P5 = (8, 6) as in Figure 2.5. The cost per unit distance traveled is the

same between the new machine and each existing machine. The number of trips per
day between the new machine and the existing machines are 5, 6, 2, 4, and 8,
respectively.

Figure 2.5: Location for existing machines
Solution:

BPLK 17 DMQ 40392