Application Problem and Effective Algorithm of the Parallel-Sequential System Schedule Optimization

Abstract

The problem of optimal management of flight schedules and aircraft assignments is considered. Optimal regulation of schedules implies creating or modifying them in such a way as to minimize system losses due to ongoing disruptions. The total deviation of the corrected schedule from the specified aircraft departure schedules was used as a loss estimate. It is shown that the described technological system belongs to parallel-sequential systems. Accordingly, the considered problem of system control is NP-hard and has no effective algorithms for an exact solution. The article provides a short overview of existing approaches to solving the problem of schedule management and its modifications. The original formal statement of the problem is given, the decomposition of the problem is substantiated, and an algorithm for its approximate solution is presented. An illustrative example is given, and the statistics of testing software implementations of the decomposition algorithm and solving the problem of schedule control on real data are presented, proving the actual effectiveness of the developed toolkit.