Integral equation of optimal replacement: analysis and algorithms

Hritonenko, Natali;Yatsenko, Yuri
(2009) Applied Mathematical Modelling — Vol. 33, n° 6, p. 2737-2747 (2009)

Files

2009_AMM.pdf
  • Restricted Access
  • Adobe PDF
  • 320.97 KB
Request a copy

Details

Authors
  • Hritonenko, NataliPrairie View A&M University
    Author
  • Yatsenko, Yuri
    Author
Abstract
The paper is devoted to theoretic and numeric investigation of a nonlinear integration equation with an unknown function in the upper limit of integration. This equation appears in optimal replacement problems of engineering and production economics. Its solution is essential for finding the optimal policy of equipment replacement under technological advances. Solvability and qualitative dynamics of the solution are analyzed. Computational algorithm for solving the equation is constructed. A numerical example illustrates the obtained results.
Affiliations

Citations

  • APA
  • Chicago
  • FWB

Hritonenko, N., & Yatsenko, Y. (2009). Integral equation of optimal replacement: analysis and algorithms. Applied Mathematical Modelling, 33(6), 2737-2747. https://doi.org/10.1016/j.apm.2008.08.007 (Original work published 2009)