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Optimization Problem in an Integral Model of the Developing System Without Prehistory

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Mathematical Optimization Theory and Operations Research (MOTOR 2019)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 1090))

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Abstract

This paper addresses an integral model of the developing system consisting of elements of n age groups. The model is described by means of the Volterra equation of the first kind with variable limits of integration. The case is considered when the moment of the system origin coincides with the beginning of the modeling, therefore there is no prehistory and for \(t = 0\) all age groups of the elements are empty. Based on this model, we set the problem of optimizing the system age structure and the moment when the elements are decommissioned. In order to study a new integral model of developing systems as applied to the problem of forecasting the electric power system development, several model examples are considered. The results of numerical calculations are presented. They confirm the adequacy of the proposed model.

The research was carried out under State Assignment, Project 17.3.1 (reg. no. AAAA-A17-117030310442-8) of the Fundamental Research of Siberian Branch of the Russian Academy of Sciences.

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Authors and Affiliations

  1. Melentiev Energy Systems Institute SB RAS, Lermontov str. 130, 664033, Irkutsk, Russia

    Evgeniia Markova & Inna Sidler

Authors
  1. Evgeniia Markova
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  2. Inna Sidler
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Correspondence to Evgeniia Markova .

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Editors and Affiliations

  1. Sobolev Institute of Mathematics, Novosibirsk, Russia

    Igor Bykadorov

  2. University of Greenwich, London, UK

    Vitaly Strusevich

  3. University of Aveiro, Aveiro, Portugal

    Tatiana Tchemisova

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Markova, E., Sidler, I. (2019). Optimization Problem in an Integral Model of the Developing System Without Prehistory. In: Bykadorov, I., Strusevich, V., Tchemisova, T. (eds) Mathematical Optimization Theory and Operations Research. MOTOR 2019. Communications in Computer and Information Science, vol 1090. Springer, Cham. https://doi.org/10.1007/978-3-030-33394-2_40

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  • DOI: https://doi.org/10.1007/978-3-030-33394-2_40

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  • Publisher Name: Springer, Cham

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  • Online ISBN: 978-3-030-33394-2

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