Integration of GIS technologies and methods of solving continuous problems of optimal multiplex-partitioning of sets

Authors

  • Larysa S. Koriashkina The Department of System Analysis and Control of the State Higher Educational Institution "National Mining University", Dnipro, Ukraine https://orcid.org/0000-0001-6423-092X
  • Antonina Pavlovna Cherevatenko The Department of System Analysis and Control of the State Higher Educational Institution "National Mining University", Dnipro, Ukraine https://orcid.org/0000-0002-6159-1559
  • E. O. Koriashkina Educational and Scientific Complex "Institute for Applied System Analysis" of the National Technical University of Ukraine "Igor Sikorsky Kyiv Polytechnic Institute", Kyiv, Ukraine https://orcid.org/0000-0003-2738-0827

DOI:

https://doi.org/10.20535/SRIT.2308-8893.2017.4.08

Keywords:

continuous problems of optimal multiplex-partitioning of sets, geographic information systems, GIS technologies, territorial segmentation

Abstract

The article presents а review of software and technologies of geographic information systems in the context of applying them to solve practical problems of the territorial segmentation, mathematical models of which are reduced to continuous problems of optimal multiplex-partitioning of sets. In this case, service zone models are understood as geometry-based procedures for creating theoretical service zones using characteristics of the service center and assumptions about the customer behavior. The basic requirements to the data used in developed software, that includes methods for solving problems of multiplex-partitioning of sets and GIS technologies, are described. The results of segmentation of the city area into zones that are served by several service centers are given, taking into account the possibility of zones overlapping. An approach to solving problems of the optimal placement of service centers in a limited nonconvex incoherent region with a simultaneous segmentation is proposed.

Author Biographies

Larysa S. Koriashkina, The Department of System Analysis and Control of the State Higher Educational Institution "National Mining University", Dnipro

Larysa Sergiyivna Koriashkina,

Candidate of Physical and Mathematical Sciences, an associate professor at the Department of System Analysis and Control of the State Higher Educational Institution "National Mining University", Dnipro, Ukraine.

Research areas: analysis and mathematical modeling of complex systems, optimization methods, control theory, continuous problems of optimal partitioning and covering of sets and their practical applications, identification of dynamic systems.

Antonina Pavlovna Cherevatenko, The Department of System Analysis and Control of the State Higher Educational Institution "National Mining University", Dnipro

Antonina Pavlovna Cherevatenko,

a teaching assistant at the Department of System Analysis and Control of the State Higher Educational Institution "National Mining University", Dnipro, Ukraine.

Research areas: continuous problems of optimal partitioning of sets, optimization methods, operations research.

E. O. Koriashkina, Educational and Scientific Complex "Institute for Applied System Analysis" of the National Technical University of Ukraine "Igor Sikorsky Kyiv Polytechnic Institute", Kyiv

E.O. Koriashkina,

a student at Educational and Scientific Complex "Institute for Applied System Analysis" of the National Technical University of Ukraine "Igor Sikorsky Kyiv Polytechnic Institute", Kyiv, Ukraine.

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Published

2017-12-15

Issue

No. 4 (2017)

Section

Methods of optimization, optimum control and theory of games

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