Dwukryterialny rozmyty model łańcucha krytycznego w projekcie - podstawy teoretyczne

The aim of this research work was to develop an optimization model for the problem of time-cost trade-off, taking into account the impact of the planned tasks or activities of contractors on the project. As a methodological basis for the proposed model the concept of critical chain E. Goldratt, which introduces the behavioral aspect of estimating the time steps in the project, but does not indicate the specific methods of quantification estimations. The presented model assumes the possibility of quantifying the workload of the project components in a set of fuzzy numbers and the ability to extract from these estimates reasonable and acceptable level of risk of non-compliance and security allowances, administered only to increase the safety assessment. The mechanism operates on optimization of decision variables representing the amount of work assigned to each resource in order to minimize the criterion function summarizing the direct costs of the activities in the project the costs of acceleration (or delays).