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Feasibility study of Monte Carlo modelling techniques for distributed-parameter systems. Part 2: Search problem involving a distributed-parameter system solved by Monte Carlo methods

Feasibility study of Monte Carlo modelling techniques for distributed-parameter systems. Part 2: Search problem involving a distributed-parameter system solved by Monte Carlo methods

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The theory given in Pt. 1 of the paper is illustrated. The paper takes, as an example of the use of Monte Carlo solutions of partial differential equations, a linear model for the heating of steel billets, and solves an optimal-control problem of achieving uniform temperature in minimum time.

References

    1. 1)
      • EDWARDS, K.H., and KHANNA, R.R.: ‘Feasibility study of Monte Carlo modelling technique for distributed-parameter systems. Pt. 1—Discrete Monte Carlo models and their uses’ (see p. 2277).
    2. 2)
      • A.G. Butkovskii . Some approximate methods for solving problems of optimal control of distributed parameter systems. Automat. Remote Control , 1438 - 1458
    3. 3)
      • A.G. Butkovskii , A.Y. Lerner . The optimal control of systems with distributed parameters. Automat. Remote Control , 472 - 477
    4. 4)
      • S.D. Conte . (1943) , Elementary numerical analysis.
    5. 5)
      • I. McCausland . On optimum control of temperature distribution in a solid. J. Electron. Control
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