NUMERICAL SOLUTION OF THE DYNAMIC PROBLEMS OF PLANNING PRODUCTION VOLUMES IN PROJECTS FOR THE DEVELOPMENT OF NEW PRODUCTS


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Abstract

In article dynamic tasks of production planning for one and several subdivisions of the industrial enterprise are considered with considering the learning curve effect. The problem is formalized mathematically as the problem of optimal control of a discrete system. Numerical solutions of the formulated problems for various models of learning curves are obtained using the Bellman dynamic programming method. The research of the learning index influence on optimal solutions of problems is given.

About the authors

O. V. Pavlov

Samara National Research University

Author for correspondence.
Email: morenov.sv@ssau.ru

Vice Director of the Institute of Economics and Management

References

  1. Wright T.P. Factors affecting the cost of airplanes. In: Journal of the aeronautical sciences. 1936, vol. 3, no. 4, pp. 122–128.
  2. Badiru A. Computational survey of univariate and multivariate learning curve models. In: IEEE Transactions on Engineering Management, 1992, vol. 39, no. 2, pp. 176–188.
  3. Yelle L.E. The learning curve: Historical review and comprehensive survey. In: Decision Sciences, 1979, vol. 10, no. 2, pp. 302–328.
  4. Learning Curves: Theory, Models, and Applications. Edited by Mohamad Y. Jaber. Boca Raton: CRC Press, 2011, 476 p.
  5. Bellman R. Dinamicheskoye programmirovaniye [Dynamic Programming]. M.: Izdatel'stvo inostrannoy literatury, 1960.
  6. Kalihman I.L., Voytenko M.A. Dynanic programming: tasks and examples [Dinamicheskoye programmirovaniye v primerakh i zadachakh]. M.: Visshaya shkola, 1979.

Copyright (c) 2017 О. В. Павлов

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