Chapter 11 deals with the problem formulation of multicriteria allocation of limited resources of complex systems and content analysis with Example 1 and Example 2. Formulation of the problem and its method of solution are given. Vector optimization program with illustrative examples is considered.
TopExample 2
The design organization received an order for the development of several projects. For execution of the order is provided a specific amount of funding to be distributed among individual projects. For each project, a minimum amount of funding is known, below which the performance of the project is impossible. Usually it is protected budget items – staff salaries, rent, utilities, cost of absolutely necessary equipment and so forth. Clearly, at a minimum funding the quality of the project will be relevant… Increased resources make development of projects more efficient. But to increase the amount of funding can only go until some limit, due to the total estimated cost of the project. Exceeding this limit is called the improper use of funds and threatened sanctions.
Given these restrictions from above and below, it is required to allocate a global amount of funding between projects so that the work of the design organization as a whole has been the most effective.
It is easy to see that the sum of all lower bounds for partial resource is a bottom limit for the global resource, and the sum of upper bounds limits the global resource from above.