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Vol 211
Pages:
86-90
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RUS
Article

Methods for determination pareto set in some linear programming problems

Authors:
B. D. Prudovskii1
A. V. Terentev2
About authors
  • 1 — Ph.D. associate professor National Mineral Resources University (Mining University)
  • 2 — Ph.D. associate professor National Mineral Resources University (Mining University)
Date submitted:
2014-07-21
Date accepted:
2014-09-05
Date published:
2015-02-25

Abstract

The paper describes the graphic -analytical method for the determination of Pareto set in linear programming with a restrictive condition and two performance criteria. In practical vehi-cles tasks it is common phenomenon to take decision for several performance indicators. Such problems are called multicriteria. The presented method is illustrated by numerical examples. In the final part of the article analytical method for solving multiobjective linear programming problems.

Область исследования:
(Archived) Electromechanics and mechanical engineering
Keywords:
graphic-analytical method the Pareto set multicriteriality linear programming
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References

  1. Kuznetsov E.S. Upravlenie tekhnicheskoi ekspluatatsiei avtomobilei (Management of technical car maintenance). Мoscow: Transport, 1990, p.272.
  2. Prudovskii B.D. Kolichestvennye metody upravleniya avtomobil'nym transportom (Quantitative Methods for Traffic Control). Мoscow: Transport, 1976, p.87.
  3. Terentiev A.V. Opredelenie proizvodstvennoi programmy po tekhnicheskomu obsluzhivaniyu i tekushchemu remontu dlya podvizhnogo sostava inostrannogo proizvodstva (Determination of the production program of maintenance andcurrent repairs for the rolling stock of foreign production). Bulletin of transport information, Moskow. N 6 (156), p.34-36.
  4. Yakunin N.N. Metodologicheskie osnovy kontrolya i upravleniya tekhnicheskim sostoyaniem avtomobilei v ekspluatatsii (Methodological bases of monitoring and control technical condition of vehicles in operation): The author ... Dr. ofEngineering Sciences. Orenburg, 2004, p.37.
  5. Prudovskiy B.D., Terentiev A.V. Investigation methods for «current repairs labour-intensiveness» factor for a vehicle. LifeScience Journal, 2014. N 11 (10s), p.304-306. URL: http://www.lifesciencesite.com/lsj/life1110s/055_25535life1110s14_307_310.pdf.

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