Survey of the flight efficiency of a long-haul aircraft under uncertainty of tasks

Cite item

Full Text


The article considers the problem of optimizing a long-haul aircraft flight under uncertainty of objectives and tasks. Based on the analysis of the well-known flight mode selection criterion, two main objectives of the flight were identified – minimizing fuel consumption and flight endurance. The study of this criterion based on a multi-purpose approach made it possible to develop an analytical model of the performance indicator containing two objective functions and a weight coefficient as a measure of comparative importance between the identified objectives. It is shown that the weight coefficient in the tasks of flight efficiency research is a measure of the uncertainty of the tasks. Consideration of the weight coefficient role in the optimization problem objective function made it possible to develop operational and trajectory methods for selecting flight modes. In the developed statement of the problem, the problems of cruise flight optimization and climb and descent modes are considered. The paper introduces the concept of the optimal cruise range as a vertical separation criterion, which allows you to rationally design the flight path at different flight levels under the uncertainty of tasks. The procedure for researching the efficiency and optimization of flight has been conducted and demonstrated by the method of mathematical modeling. The results of optimizing the flight mode are compared with the typical flight modes recommended by the flight manual. The introduced methods of flight efficiency investigation can be helpful in developing recommendations of long-haul aircraft operation. The methods and principles of a multi-purpose approach, operations research and decision theory were used in the paper. The long-haul aircraft IL-96-300 was selected as the object of research.

About the authors

P. Markiewicz

Moscow Aviation Institute (National Research University)

Author for correspondence.

Postgraduate Student of the Department of Flight Dynamics and Control

Russian Federation


  1. Brusov V.S., Baranov S.K. Optimal'noe proektirovanie letatel'nykh apparatov [Aerial vehicle optimal design]. Moscow: Mashinostroenie Publ., 1989. 232 p.
  2. Poles D., Nuic A., Mouillet V. Advanced aircraft performance modeling for ATM: Analysis of BADA model capabilities. Proceedings of the 29th Digital Avionics Systems Conference (October, 3-7, 2010, Salt Lake City, USA). doi: 10.1109/dasc.2010.5655518
  3. Andreevskiy V.V. Otsenka letno-tekhnicheskikh kharakteristik samoleta [Assessment of flight performance]. Kuybyshev: Kuybyshev Aviation Institute Publ., 1974. 93 p.
  4. Barman J.F., Erzberger H. Fixed-range optimum trajectories for short-haul aircraft. Journal of Aircraft. 1976. V. 13, Iss. 10. P. 748-754. doi: 10.2514/3.58706
  5. Erzberger H., Lee H. Constrained optimum trajectories with specified range. Journal of Guidance and Control. 1980. V. 3, Iss. 1. P. 78-85. doi: 10.2514/3.55950
  6. Dinamika poleta / pod red. G.S. Byushgensa [Flight dynamics / ed. by G.S. Byushgens]. Moscow: Mashinostroenie Publ., 2011. 775 p.
  7. Bobronnikov V.T. Sistemnyy analiz v inzhenernykh: ucheb. posobie [System analysis in engineering research]. Moscow: MAI Publ., 2018. 144 p.
  8. Teoriya prinyatiya resheniy. V 2 t. T. 2: uchebnik i praktikum dlya bakalavriata i magistratury [Decision theory. V. 2. Textbook and hands-on course for bachelor’s and master’s degree programs / ed. by V. G. Halin]. Moscow: Yurayt Publ., 2017. 431 p.
  9. Piyavsky S.A. Method of universal coefficients for the multi-criterial decision making. Ontology of Designing. 2018. V. 8, no. 3 (29). P. 449-468. (In Russ.). doi: 10.18287/2223-9537-2018-8-3-449-468
  10. Piyavskiy S.A., Brusov V.S., Khvilon E.A. Optimizatsiya parametrov mnogotselevykh letatel'nykh apparatov [Optimization of multi-purpose aircraft parameters]. Moscow: Mashinostroenie Publ., 1974. 168 p.
  11. Brusov V.S., Odnovolik Y.V. An example of the assessment of decisions under the conditions of several criteria of efficiency. Civil Aviation High Technologies. 2013. No. 188. P. 15-18. (In Russ.)
  12. Brusov V.S., Odnovolik Y.V. The method of assessing decisions while exploiting technical systems under the uncertainty of the assessment of the efficiency. Civil Aviation High Technologies. 2012. No. 175. P. 78-83. (In Russ.)
  13. Markiewicz P. The cruise flight optimisation method based on multipurpose approach. Scientific Bulletin of the State Scientific Research Institute of Civil Aviation. 2022. No. 39. P. 72-80. (In Russ.)
  14. Grevtsov N.M., Efimov O.E., Mel'ts I.O, Trubetskoy A.B. Comparison of optimality conditions of stationary and non-stationary flight modes in the singular perturbation method. Uchenye Zapiski TsAGI. 1995. V. 126, no. 1-2. P. 136-142. (In Russ.)

Supplementary files

Supplementary Files

Copyright (c) 2023 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