Uitwerking Practical 3 Decision Science

Decision Science 1, Computer Practical,
Practical work, Week 3 P3 Pair number: 14

Name: Lars van der Horst Studentnumber: 1 0 4 9 5 2 8
Name: Dennis van den Berg Studentnumber: 1 0 4 8 1 6 8


Note: watch the Introduction clip to practical P3 after completing 5-b

Exercise 5
The next questions are all related to exercise 5 of your syllabus
(location/allocation).

5-a Implement the model that you formulated in your homework. Use <standard.mos> as a starting point.

X11: Cooperative centre (CE) 1 to distribution centre 1 (DC)
Z11: DC 1 to local store 1 (LS)

Min (TC = 1*X11 + 2*X12 + 3*X21 + 1*X22 + 2*Z11 + 3*Z12 + 2*Z21 + 3*Z22)

Demand of the stores
1: Z11 + Z21 = 10
2: Z12 + Z22 = 30

Capacity of depots
1: X11 + X21 <= 40
2: X12 + X22 <= 30

Supply of coorporation
1: X11 + X12 <=15
2: X21 + X22 <=30

In = out
X11 + X21 = Z11 + Z12
X12 + X22 = Z21 + Z22

R(A^M*N) <= min (M,N) --> min (8,4) = 4

( xB ¿) ¿ ¿¿
5-b Give the optimal (feasible) basic solution x = ¿ for this problem. How many basic variables do you
find? Does this match your expectations?
X11 = 10
X12 = 0
X21 = 0
X22 = 30
Z11 = 10
Z12 = 0
Z21 = 0
Z22 = 30

R(A^M*N) <= min (M,N) --> min (8,4) = 4 = equal to the number of basic variables so it matches our
expectations

Watch Introduction clip to practical P3

5-c1 Formulate a general LP-model for this problem. A general LP-model is a model formulation in which all
numbers for the data are replaced by general data-definitions. You can either use the formula editor, or
write your model on paper and insert a picture of it here.
(Note that you do not have to implement the general model in Fico Xpress-IVE!)