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Sustainability of Management Decisions in a Digital Logistics Network

Author

Listed:
  • Sergey Evgenievich Barykin

    (Graduate School of Service and Trade, Peter the Great St. Petersburg Polytechnic University, Polytechnicheskaya, 29, 195251 St. Petersburg, Russia)

  • Larisa Nikolaevna Borisoglebskaya

    (Physics and Mathematics Department, Orel State University, Komsomol’skaya St., 95, 302026 Orel, Russia)

  • Vyacheslav Vasilyevich Provotorov

    (Mathematics Department, Voronezh State University, 1, Universitetskaya pl., 394006 Voronezh, Russia)

  • Irina Vasilievna Kapustina

    (Graduate School of Service and Trade, Peter the Great St. Petersburg Polytechnic University, Polytechnicheskaya, 29, 195251 St. Petersburg, Russia)

  • Sergey Mikhailovich Sergeev

    (Graduate School of Service and Trade, Peter the Great St. Petersburg Polytechnic University, Polytechnicheskaya, 29, 195251 St. Petersburg, Russia)

  • Elena De La Poza Plaza

    (Center for Economic Engineering (INECO), Universitat Politècnica de València, Camino de Vera s/n, 46022 Valencia, Spain)

  • Lilya Saychenko

    (Department of Development and Exploration of Oil and Gas Wells, St. Petersburg Mining University, 199106 St. Petersburg, Russia)

Abstract

Globalization has given a powerful impetus to the development of international commercial activity and logistics management systems taking full advantage of cross-border networking. The solution lies at the intersection of information technologies, technical means of machine-to-machine (M2M) interaction, mobile high-speed networks, geolocation, cloud services, and a number of international standards. The current trend towards creating digital logistics platforms has set a number of serious challenges for developers. The most important requirement is the condition of sustainability of the obtained solutions with respect to disturbances in the conditions of logistics activities caused not only by market uncertainty but also by a whole set of unfavorable factors accompanying the transportation process. Within the framework of the presented research, the problem of obtaining the conditions for the stability of solutions obtained on the basis of mathematical models is set. At the same time, the processes of transferring not only discrete but also continuous material flows through complex structured networks are taken into account. This study contains the results of the analysis of the stability of solutions of differential systems of various types that simulate the transfer processes in network media. Initial boundary value problems for evolutionary equations and differential-difference systems are relevant in logistics, both for the discrete transportation of a wide range of goods and for the quasi-continuous transportation of, for example, liquid hydrocarbons. The criterion for the work of a logistics operator is the integral functional. For the mathematical description of the transport process of continuous and discrete media, a wide class of integrable functions are used, which adequately describe the transport of media with a complex internal rheological structure.

Suggested Citation

  • Sergey Evgenievich Barykin & Larisa Nikolaevna Borisoglebskaya & Vyacheslav Vasilyevich Provotorov & Irina Vasilievna Kapustina & Sergey Mikhailovich Sergeev & Elena De La Poza Plaza & Lilya Saychenko, 2021. "Sustainability of Management Decisions in a Digital Logistics Network," Sustainability, MDPI, vol. 13(16), pages 1-17, August.
    • Handle: RePEc:gam:jsusta:v:13:y:2021:i:16:p:9289-:d:616944
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    References listed on IDEAS

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