Mathematical model
Multi-criteria optimization - Application in the construction industry

The mathematical formulation of the priority-setting problem is as follows.

Let X_i be the amount of investment in the i ^th project and let F * be the optimal allocation of resources in the n^th project that allows the profit of all projects to be maximized. The optimization problem can be formulated as follows: find X_n(x₁,x₂,x₃, ..., x_n) that maximizes total profit in terms of performance, with the following constraints:

1) budget limitations for rehabilitation projects ;

2) maintenance budget: a typical situation in the maintenance divisions of organizations worldwide is the availability of limited budgets within which decision-makers must operate;

3) Performance level: this is another requirement that must be met in relation to the plant's purpose. In order to achieve a high profit/cost...