Optimizing the allocation of technological resources of an air transport system in the presence of a schedule and fuzzy input data

Cite item

Full Text


The problem of optimal allocation of technological resources (operators) of a technical or organizational-technical system, designed to serve certain objects (operands) according to a given schedule, is considered. We take into account the necessity of incorporating, together with the main, preparatory and final operations, the possibility to select one or several operators for operand service into the service process, as well as the dependence of the operations duration on the factors characterized by uncertainty. Due to the supposed absence of statistics, expert-assigned indefinite values in the form of triangular fuzzy numbers are used. The optimization problem is formulated as a mathematical programming problem with a fuzzy criterion and clear-cut constraints, consisting in finding such a distribution of a given number of operators to serve each operand from a given set which minimizes the target function that takes into account deviations from the schedule (delay) with the service termination. Typical examples of systems for which the problem is relevant are the production complexes of air transport enterprises operating in conditions of uncertainty when it is necessary to ensure the regularity and safety of air transportation. A model example of solving the problem of allocating mobile refueling facilities at a hub airport, taking into account the peculiarities of its schedule, is presented. It is shown that the capabilities of standard personal computer software are sufficient for the solution.

About the authors

V. A. Romanenko

Samara National Research University

Author for correspondence.
Email: vla_rom@mail.ru
ORCID iD: 0000-0003-3897-2238

Candidate of Science (Engineering), Associate Professor of the Department of Transportation Management and Control

Russian Federation


  1. Babić O. Optimization of refueling truck fleets at an airport. Transportation Research Part B. 1987. V. 21, Iss. 6. P. 479-487. doi: 10.1016/0191-2615(87)90042-7
  2. Carotenuto P., Giordani S., Salvatore A., Biasini A. Resource planning for aircraft refueling in airport parking area. Transportation Research Procedia. 2019. V. 37. P. 250-257. doi: 10.1016/j.trpro.2018.12.190
  3. Balashov V.G., Zalozhnev A.Yu., Novikov D.A. Mekhanizmy upravleniya organizatsionnymi proektami [Mechanisms of organizational project management]. Moscow: IPU RAN Publ., 2003. 84 p.
  4. Golenko-Ginzburg D.I. Stokhasticheskie setevye modeli planirovaniya i upravleniya razrabotkami [Stochastic network models for development planning and management]. Voronezh: Nauchnaya Kniga Publ., 2010. 283 p.
  5. Orlovskiy S.A. Problemy prinyatiya resheniy pri nechetkoy iskhodnoy informatsii [Problems of decision-making with fuzzy input information]. Moscow: Nauka Publ., 1981. 206 p.
  6. Liu B. Theory and practice of uncertain programming. Heidelberg: Physica-Verlag, 2002. 388 р. doi: 10.1007/978-3-7908-1781-2
  7. Piegat A. Fuzzy Modeling and Control. Heidelberg: Physica-Verlag, 2001. 728 p. doi: 10.1007/978-3-7908-1824-6
  8. Romanenko V.A. Optimization of transfer air transportation system parameters considering fuzzy and stochastic uncertainties. Automation and Remote Control. 2015. V. 76, Iss. 8. P. 1500-1514. doi: 10.1134/S0005117915080135

Supplementary files

Supplementary Files

Copyright (c) 2021 VESTNIK of Samara University. Aerospace and Mechanical Engineering

Creative Commons License
This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.

This website uses cookies

You consent to our cookies if you continue to use our website.

About Cookies