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Software systems and computational methods
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Oleynikova S.A. Numerical methods of optimization of project planning with the presence of the time and resource constraints and the generalized resource criteria

Abstract: The objects of the research are the complex service systems, the distinctive feature of which is the stochastic duration of the servicing of the complex of mutually dependent works that define the project. The aim of the work is to develop a schedule of service requests taking into account restrictions on the time of service and on the amount of resources. As an optimization criterion a generalized resource criterion is selected. This criterion allows describing such modes as uniform system load, maximum load, etc depending on the preferences of the user. Methods of building the schedule are based on the numerical algorithms, which are formed with the help of heuristics. This heuristics are determined by the analysis of the existing approaches and specific objectives of the study. As a result the study proposes a complex of numerical methods that constitute the basis of the software for building the schedule service applications. The novelty of the study consists in the application of heuristics that provide a suboptimal schedule in a reasonable time. As one of the applications of the results the article shows the optimization of functioning of the wagon repairing production.


Keywords:

numerical method, heuristics, resource criteria, time constraints, optimization, algorithm, back-tracking, schedule, software, wagon repairing production


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