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  • Engineering  (1)
  • Infinite-horizon stochastic dynamic programming  (1)
  • MIF-1
  • 1995-1999  (2)
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  • 1995-1999  (2)
Year
  • 1
    Electronic Resource
    Electronic Resource
    Control Policy for a Manufacturing System with Random Yield and Rework (1997)
    Springer
    Journal of optimization theory and applications 95 (1997), S. 149-175 
    Details
    ISSN: 1573-2878
    Keywords: Infinite-horizon stochastic dynamic programming ; optimal stationary control ; system stability ; chance constrained programming ; production policy under random yield
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract We develop a production policy that controls work-in-process (WIP) levels and satisfies demand in a multistage manufacturing system with significant uncertainty in yield, rework, and demand. The problem addressed in this paper is more general than those in the literature in three aspects: (i) multiple products are processed at multiple workstations, and the capacity of each workstation is limited and shared by multiple operations; (ii) the behavior of a production policy is investigated over an infinite-time horizon, and thus the system stability can be evaluated; (iii) the representation of yield and rework uncertainty is generalized. Generalizing both the system structure and the nature of uncertainty requires a new mathematical development in the theory of infinite-horizon stochastic dynamic programming. The theoretical contributions of this paper are the existence proofs of the optimal stationary control for a stochastic dynamic programming problem and the finite covariances of WIP and production levels under the general expression of uncertainty. We develop a simple and explicit sufficient condition that guarantees the existence of both the optimal stationary control and the system stability. We describe how a production policy can be constructed for the manufacturing system based on the propositions derived.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1022639529617
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  • 2
    Electronic Resource
    Electronic Resource
    A linear θ method applied to 2D time-domain BEM (1998)
    Chichester : Wiley-Blackwell
    Communications in Numerical Methods in Engineering 14 (1998), S. 1171-1179 
    Details
    ISSN: 1069-8299
    Keywords: linear θ method ; time-domain BEM ; stability ; scalar wave ; Engineering ; Numerical Methods and Modeling
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: A linear θ method is used in this paper to improve the stability of the standard time-domain BEM formulation. The time-stepping procedure is similar to that of the Wilson θ method; however, unlike in the FEM, where linear time variation of acceleration (for elastodynamic problems) is assumed, here linear time variation for both potential and flux (for scalar waves) is assumed in the time interval θΔt. A comparison between numerical results obtained from the standard formulation and from the linear θ method studied here shows the latter to be more stable than the former. The effect of varying θ for different values of time steps is also studied in this paper. Copyright © 1998 John Wiley & Sons, Ltd.
    Additional Material: 6 Ill.
    Type of Medium: Electronic Resource
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