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Algorithm for Solving Modern Scheduling Problem with Real-life Constraints

Student: Loginov Aleksey

Supervisor: Ilya S. Bychkov

Faculty: Faculty of Informatics, Mathematics, and Computer Science (HSE Nizhny Novgorod)

Educational Programme: Applied Mathematics and Information Science (Bachelor)

Year of Graduation: 2020

In the modern world computer programs together with mathematic algorithms and heuristics have become a universal tool for solving many difficult problems, which people cannot solve fast or exactly. This combination is used for the prediction of weather, building routes for cars, classification of images, and many others. However, there is the problem of scheduling different tasks or events, for example, study lessons, work meetings, and others. Let us consider, for example, scheduling for university. For successful planning, the person, who makes the schedule, needs to know all information about free classrooms and their types (computer, practical or lecture), study plans, busy teachers, and students. Moreover, for any changes in schedule, for example, moving a lesson to another day or time, the person should recreate the plan from start or check, that this change doesn't make intersections or gaps. Therefore, it is reasonable to create a program for planning the university schedule. Current work contains a result of the investigation of the possibility to present problem of the scheduling in the mathematical form as a task of linear programming: a mathematical model of the current problem, literature review, ready program for the generating schedule, and examples of the generated schedules.

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