Determine a feasible atsp solution and evaluate its quality

Reference no: EM131316782

1. Show that, in the ATSP formulation, the connectivity constraints (6.61) and the subtour elimination constraints (6.62) are equivalent.

2. Show that the number of vertices of odd degree in a graph is even.

3. Let G = (V , A) be a complete directed graph such that |V | = 10 and the costs associated to the arcs belong to A, as reported in Table 6.51:

• check if the triangle inequality property holds for each arc cost;

• formulate the corresponding ATSP;

• solve the relaxed AP;

• determine a feasible ATSP solution and evaluate its quality;

• apply a 2-exchange procedure for finding a better feasible solution

Reference no: EM131316782

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