What is the solution for system optimization


Assignment task:

Title: Crew Assignment

In a large geographical region there are three holiday hotels that locate in three different destinations. Their names are: Tulip Hotel, Orchid Hotel, and Rose Hotel.

In each hotel, every day there is a one-day guided tour on a tourist couch (bus). The program is the same for all hotels. Operation of the three tours is performed by one company named "Sunshine Tours". There are three guides who live in different places in the region. Their distances to the hotels are different.

Each day, early morning, Sunshine Tours sent 3 taxis to take the three guides from home to the hotels (each of them to one hotel).

Sunshine Turs is interested to save money, so there is a need to assign the guides to hotels, in such a way that the total distance (in km) will be minimal.

Your task:

a) Invent a table of 3X3 where the rows are the hotels and the columns are the three guides. Inside the table put numbers which present the distances (in km).

b) Remember that the problem is for minimum of the total distance. This is the objective function. By enumeration (for minimum total value) display the six possible solutions.

c) What is the solution for system optimization? Write the three assignments for the guides and the value of objective function (total distance).

d) What is the solution for user optimal solution? Write the three assignments for the guides and the value of objective function (total distance).

e) Add a constraint in the initial table (like, one guide should be (or should not be) in one of the hotels. Solve the problem again as before.

f) Did you enjoy the exercise?

Select: It is a big fun/Better than any gourmet meal/The climax of my life/Now I have something to do in the middle of the night

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