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Aerospace Instrument-Making Annotation << Back
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Model-Algorithmic Support for the Planning
of Targeted and Supporting Operations
in the Interaction of Active Mobile Objects |
Zakharov V.V., Kalinin V.V., Sokolov B.V.
The presented article offers a multi-model description of the tasks of operational planning of the functioning
of a multi-object distributed grouping of mobile objects (MO), which includes a grouping of service facilities
(SF), a grouping of active mobile objects (AMO) of the fi rst and second types (AMO-I, AMO-II), and based
on the dynamic interpretation of the data groupings of material, energy, and information processes. These
planning tasks are of great practical importance for the aerospace sector, for the manufacturing sector, and
for transport and logistics applications. Specifi c dynamic models of planning target operations performed
by the AMO-I grouping in information interaction with the SF group, as well as dynamic models of planning
supporting and auxiliary operations in information interaction between the APO-I grouping and the AMOII grouping, are presented. It is shown that the use of the mathematical apparatus of the theory of optimal
control, in particular, the method of local cross sections by V.G. Boltyansky's method allows a large-scale
nonstationary nonlinear schedule theory problem, which was solved earlier either using operations research
methods or multi-agent modeling methods, to be transformed into a multipoint boundary value problem
with intermediate conditions. At the same time, the computational complexity of solving this problem was
assessed using the previously developed combined method of searching for optimal controls (optimal plans),
which showed that the computational complexity of this method is polynomial in nature. Computational
experiments have confirmed this conclusion.
Keywords: dynamic planning models, optimal control theory, groupings of active moving objects, V.G. Boltyansky's method
of local cross-sections.
DOI: 10.25791/aviakosmos.7.2025.1493
Pp. 32-48. |
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