1. The European Union (EU) wants to design a novel organ donation and transplantation system. The EU plans to open the minimum number of new facilities spread across fourteen major cities, such that the distance between any city and an opened facility does not exceed 500 kilometers: City 1. Budapest 2. Zagreb 3. Prague 4. Munich 5. Zurich 6. Stuttgart 7. Nuremberg 8. Frankfurt 9. Cologne 10. Amsterdam 11. Dortmund 12. Brussel 13. Bremen 14. Luxembourg Cities Within 500 Kilometers Budapest, Zagreb, Prague, Munich Zagreb, Budapest, Prague, Munich Prague, Munich, Zagreb, Frankfurt Munich ,Zurich, Prague, Zagreb, Stuttgart, Nuremberg, Frankfurt Zurich, Frankfurt, Munich, Nuremberg, Stuttgart Stuttgart, Frankfurt, Munich, Luxembourg, Cologne Nuremberg, Prague, Frankfurt, Munich, Stuttgart, Zurich Frankfurt, Stuttgart, Nuremberg, Cologne, Luxembourg, Brussel Cologne, Amsterdam, Brussel, Luxembourg, Dortmund, Bremen Amsterdam, Brussel, Dortmund, Cologne, Bremen, Luxembourg Dortmund, Amsterdam, Brussel, Cologne, Bremen Brussel, Amsterdam, Cologne, Dortmund, Luxembourg Bremen, Amsterdam, Dortmund, Cologne | Luxembourg, Frankfurt, Stuttgart, Cologne, Brussel The European Society for Organ Transplantation has two special requests for facility locations: 1) Only one facility can be built in both Dortmund and Cologne. 2) At least two facilities must be built in the following four cities: Stuttgart, Nuremberg, Frankfurt, Cologne, and Luxembourg

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter6: Optimization Models With Integer Variables

Section: Chapter Questions

Problem 61P

See similar textbooks

Related questions

Question

Hi I need help with an Operations Management problem. The image is attached. I am trying to write the constraints but unsure if I am getting them correctly.

Objective function: min x1+x2+x3+x4+x5+x6+x7+x8+x9+x10+x11+x12+x13+x14

Example: x1 + x2 + x3 + x4 ≥ 1 (Budapest)

x1 + x2 + x3 + x4 ≥ 1 (Zagreb)

x1 + x2 + x3 ≥ 1(Prague) and so on...am I on the right track?

1. The European Union (EU) wants to design a novel organ donation and transplantation
system. The EU plans to open the minimum number of new facilities spread across fourteen
major cities, such that the distance between any city and an opened facility does not exceed
500 kilometers:
City
1. Budapest
2. Zagreb
3. Prague
4. Munich
5. Zurich
6. Stuttgart
7. Nuremberg
8. Frankfurt
9. Cologne
10. Amsterdam
11. Dortmund
12. Brussel
13. Bremen
14. Luxembourg
Cities Within 500 Kilometers
Budapest, Zagreb, Prague, Munich
Zagreb, Budapest, Prague, Munich
Prague, Munich, Zagreb, Frankfurt
Munich,Zurich, Prague, Zagreb, Stuttgart, Nuremberg, Frankfurt
Zurich, Frankfurt, Munich, Nuremberg, Stuttgart
Stuttgart, Frankfurt, Munich, Luxembourg, Cologne
Nuremberg, Prague, Frankfurt, Munich, Stuttgart, Zurich
Frankfurt, Stuttgart, Nuremberg, Cologne, Luxembourg, Brussel
Cologne, Amsterdam, Brussel, Luxembourg, Dortmund, Bremen
Amsterdam, Brussel, Dortmund, Cologne, Bremen, Luxembourg
Dortmund, Amsterdam, Brussel, Cologne, Bremen
Brussel, Amsterdam, Cologne, Dortmund, Luxembourg
Bremen, Amsterdam, Dortmund, Cologne
| Luxembourg, Frankfurt, Stuttgart, Cologne, Brussel
The European Society for Organ Transplantation has two special requests for facility
locations:
1) Only one facility can be built in both Dortmund and Cologne.
2) At least two facilities must be built in the following four cities: Stuttgart, Nuremberg,
Frankfurt, Cologne, and Luxembourg

Expert Solution

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here