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Mathematical Modeling, Numerical Methods
Construction of complex schedules for execution of task packages at forming sets in specified directive terms
A. Skatkov, K. Krotov Sebastopol State University
Abstract:
The current state with the solution of the problem complex planning of the
execution of task packets in multistage system is characterized by the absence of universal
methods of forming decisions on the composition of packets, the presence of restrictions on the
dimension of the problem and the impossibility of guaranteed obtaining effective solutions for
various values of its input parameters, as well the impossibility of registration the condition of
the formation of sets from the results. The solution of the task of planning the execution of task
packets in multistage systems with the formation of sets of results within the specified deadlines
has been realized of authors in article. To solve the planning problem, the generalized function
of the system was decomposed into a set of hierarchically interrelated subfunctions. The use of
decomposition made it possible to use a hierarchical approach for planning the execution of task
packets in multistage systems, which involves defining solutions based on the composition of
packets at the top level of the hierarchy and scheduling the execution of packages at the bottom
level of the hierarchy. The theory of hierarchical games is used to optimize solutions for the
compositions of task packets and schedules for their execution is built, which is a system of
criteria at the decision-making levels. Evaluation of the effectiveness of decisions by the
composition of packets at the top level of the hierarchy is ensured by the distribution of the
results of task execution by packets in accordance with the formed schedule. To evaluate the
effectiveness of decisions on the composition of packets, method for ordering the identifiers of
the types of sets with registration of the deadlines and a method for distributing the results of the
tasks performed by packets has been formulated, which calculates the moments of completion
of the formation of sets and delays with their formation relative to the specified deadlines. The
studies of planning the process of the executing task packages in multistage systems have been
carried out, provided that the sets are formed within specified deadlines. On their basis,
conclusions, regarding the dependence of the planning efficiency from the input parameters of
the problem, were formulated.
Keywords:
multi-stage system, building packages, schedule, result sets, directive deadlines, hierarchical game.
Citation:
A. Skatkov, K. Krotov, “Construction of complex schedules for execution of task packages at forming sets in specified directive terms”, Informatics and Automation, 20:3 (2021), 654–689
Linking options:
https://www.mathnet.ru/eng/trspy1156 https://www.mathnet.ru/eng/trspy/v20/i3/p654
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