Maximization Problems the Volume of Performed Works in Project Management

Abstract

Scheduling tasks (time management) are an important functional area of project management. As a rule, for a given project duration, the tasks of minimizing the amount of required resources, either of the type of costs (cost) or type of capacity (equipment), are considered. Such tasks arise in two cases. In the first case, the duration of the project (program) is strictly limited, but its partial implementation is allowed. In the second case, the project (program) is carried out by periods and the task of maximizing the value (weighted volume) of work performed in each period is set. The paper considers the tasks of forming the calendar work plans of a project (or program projects) by the criterion of maximizing the total weighted volume of work performed, with restrictions on the duration of the project (program) and its cost. In this case, the dependence of the works cost on their duration are given. The cases of independent works, consecutive works, a project consisting of several chains of consecutive works, a project described by a network schedule with ordered events are considered. Examples of solving the problem for different cases are presented.