Submitted by: Submitted by udyan99
Views: 33
Words: 424
Pages: 2
Category: Other Topics
Date Submitted: 04/02/2015 07:41 AM
Prescriptive Analysis – Assignment 7 Kavya Nagaraj, Udyan Sharma
Question 10) The decision variables are:
X - Distance of the motorist from X co-ordinate
Y - Distance of the motorist from Y co-ordinate
a) The objective function is:
MIN (SQRT((17 - X)2 + (34 - Y)2) – 29.5)2 + (SQRT((12 - X)2 + (5 - Y)2) – 4.0)2 + (SQRT((3 - X)2 + (23 - Y)2) – 17.5)2
The constraints are:
X, Y >=0
b) The model is the spreadsheet attached.
c) The location to which the rescue personnel should be dispatched is X = 8.037 and Y = 6.054
Question 29) The decision variables are:
Fij – Flow from station I to j
Pij = probability of failure of flow from station I to j (Values in excel – Computed as per the formula)
The objective function is: MAX : (1-P12)(1-P13)(1-P24)(1-P25)(1-P34)(1-P35)(1-P46)(1-P56)(1-P61)
Constraints are:
F12 <= 80
F13 <= 50
F24 <= 90
F25 <= 60
F34 <= 50
F35 <= 70
F46 <= 70
F56 <= 60
F12+F13+F24+F25+F34+F35+F46+F56 >= 110
Fij >= 0
Answer:
| |
| |
| |
| |
| |
| |
| |
| |
| |
| |
Question 30) The decision variables are:
Xi, Yi = Location of warehouse 1, 2, 3 (I = 1,2 ,3)
Assignment Variables Aij = 30 variables ( I = warehouse, j = region name)
Objective Function: SUMPRODUCT (distance between warehouse1,2, 3: Assignment Variables)
The constraints are:
A1j +A2j+ A3j =1 ( j = 1 to 10)
Aij is binary
Answer in snapshot below:
Question 28) Decision Variables are: Pij = Probability of success of donation
Xij – assignment operator
Objective Function - MAX : (1-(1- P11)X11 (1-(1-P12)X12)………….(1-(1-P44)X44)
Constraints are: Summation Xij = 1 for each i
Summation Xij = 1 for each j
X ij are binary
Answer in snapshot:
Assign Sam to 4, Billie to 3, Sally to 2, Fred to 1
Prob. of receiving all donations = 0.15396
Sam to 4, Billie to 2, Sally to 1, Fred to 3,...