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Fluctuations of Aggregated Production Capacity Near Balanced Growth Path

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Optimization and Applications (OPTIMA 2022)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 13781))

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Abstract

The differential equation for the total production capacity in the vintage capacity model with age limit contains a delay. A characteristic solution to this equation is not only a balanced growth path, but also various kinds of oscillations near this path. The paper presents a multivalued solution for a special case of a fixed age limit and a given value of the share of new capacities. The state of such a system is determined by a whole segment of the trajectory.

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Authors and Affiliations

  1. Federal Research Center “Computer Science and Control” of the Russian Academy of Science, Moscow, Russia

    Nicholas Olenev

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  1. Nicholas Olenev
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Correspondence to Nicholas Olenev .

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Editors and Affiliations

  1. Dorodnitsyn Computing Centre, Moscow, Russia

    Nicholas Olenev

  2. Dorodnitsyn Computing Centre, Moscow, Russia

    Yuri Evtushenko

  3. University of Montenegro, Podgorica, Montenegro

    Milojica Jaćimović

  4. Krasovskii Institute of Mathematics and Mechanics, Ekaterinburg, Russia

    Michael Khachay

  5. Dorodnitsyn Computing Centre, Moscow, Russia

    Vlasta Malkova

  6. Dorodnitsyn Computing Centre, Moscow, Russia

    Igor Pospelov

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Olenev, N. (2022). Fluctuations of Aggregated Production Capacity Near Balanced Growth Path. In: Olenev, N., Evtushenko, Y., Jaćimović, M., Khachay, M., Malkova, V., Pospelov, I. (eds) Optimization and Applications. OPTIMA 2022. Lecture Notes in Computer Science, vol 13781. Springer, Cham. https://doi.org/10.1007/978-3-031-22543-7_14

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  • DOI: https://doi.org/10.1007/978-3-031-22543-7_14

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-031-22542-0

  • Online ISBN: 978-3-031-22543-7

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