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Concepts and Algorithms of Optimization – Series 7

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Dr. Maximilian Merkert Benjamin Peters M.Sc.

Winter term 2019/2020

Concepts and Algorithms of Optimization – Series 7

www.math.uni-magdeburg.de/institute/imo/teaching/wise19/cao/

November 29, 2019

Exercise 1

Consider problem described in Exercise 1 of Series 6.

(a) Determine a linear programming formulation for the problem given in exercise 1(d).

(b) Model and solve this problem by using AMPL.

Exercise 2

Consider the office assignment problem of the SofTech Inc described in Exercise 2 of Series 5.

(a) Interpret this problem as a maximum weighted perfect matching problem and give an general mathematical formulation.

(b) Model and solve this problem by using AMPL.

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