Page 17 - Facility Management Module
P. 17

FACILITIES LOCATION


                     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:
                        1.  Arrange x value ascending with the corresponding weight











                        2.  Sum all the weight and calculate median of the cumulative weight






                     BPLK                                    9                             SUBJECT CODE
   12   13   14   15   16   17   18   19   20   21   22