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  • 1
    Electronic Resource
    Electronic Resource
    Piecewise deterministic Markov process model for flexible manufacturing systems with preventive maintenance (1994)
    Springer
    Journal of optimization theory and applications 81 (1994), S. 259-275 
    Details
    ISSN: 1573-2878
    Keywords: Flexible manufacturing systems ; controlled piecewise deterministic Markov process ; maintenance and production planning
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract In this paper, we consider a maintenance and production model of a flexible manufacturing system. The maintenance activity involves lubrication, routine adjustments, etc., which reduce the machine failure rates and therefore reduce the aging of the machines. The objective of the problem is to choose the rate of maintenance and the rate of production that minimize the overall costs of inventory/shortage, production, and maintenance. It is shown that the value function is locally Lipschitz. Then, the existence of the optimal control policy is shown, and necessary and sufficient conditions for optimality are obtained.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02191664
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    Periodic maintenance and repair rate control in stochastic manufacturing systems (1996)
    Springer
    Journal of optimization theory and applications 91 (1996), S. 347-361 
    Details
    ISSN: 1573-2878
    Keywords: Flexible manufacturing systems ; controlled Markov processes ; production planning ; repair rate control ; maintenance scheduling ; Hamilton-Jacobi-Bellman equation ; viscosity solution
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract In this paper, we consider a periodic preventive maintenance, repair, and production model of a flexible manufacturing system with failure-prone machines, where the control variables are the repair rate and production rate. We use periodic preventive maintenance to reduce the machine failure rates and improve the productivity of the system. One of the distinct features of the model is that the repair rate is adjustable. Our objective is to choose a control process that minimizes the total cost of inventory/shortage, production, repair, and maintenance. Under suitable conditions, we show that the value function is locally Lipschitz and satisfies an Hamilton-Jacobi-Bellman equation. A sufficient condition for optimal control is obtained. Since analytic solutions are rarely available, we design an algorithm to approximate the optimal control problem. To demonstrate the performance of the numerical method, an example is presented.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02190100
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    Paper (German National Licenses)
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  • 3
    Electronic Resource
    Electronic Resource
    Minimax production planning in failure-prone manufacturing systems (1995)
    Springer
    Journal of optimization theory and applications 87 (1995), S. 269-286 
    Details
    ISSN: 1573-2878
    Keywords: Flexible manufacturing systems ; minimax production planning ; Hamilton-Jacobi-Isaacs equation ; viscosity solutions
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract In this paper, we consider a minimax production planning model of a flexible manufacturing system with machines that are subject to random breakdown and repair. The objective is to choose the rate of production that minimizes the related minimax cost of production and inventory/shortage. The value function is shown to be the unique viscosity solution to the associated Hamilton-Jacobi-Isaacs equation. Under certain conditions, it is shown that the value function is continuously differentiable. A verification theorem is given to provide a sufficient condition for optimal control. Finally, two examples are solved explicitly.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02192564
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    Paper (German National Licenses)
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  • 4
    Electronic Resource
    Electronic Resource
    Design sensitivity coefficients for elasto-viscoplastic problems by boundary element methods (1992)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 34 (1992), S. 947-966 
    Details
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: This paper is concerned with accurate and efficient determination of design sensitivity coefficients (DSCs) for solid mechanics problems with small strains and rotations, but with material non-linearities present (elasto-plastic or elasto-viscoplastic problems). This approach is based on direct differentiation (DDA) of the relevant derivative boundary element method (DBEM) formulation of the problem. Analytical differentiation of the DBEM equations leads to singular integral equations for the DSCs with weakly (logarithmically for 2-D) singular kernels which are easy to deal with. Also, stress components and their sensitivities are obtained on the boundary of a body with great accuracy. These quantities are typically difficult to obtain accurately from finite element methods (FEM).A computer program for general two-dimensional (plane strain and plane stress) problems has been developed based on the above formulation. Numerical results are presented for some sample problems and these are compared against direct solutions. The agreement between the DBEM and direct solutions is excellent for these examples.
    Additional Material: 9 Ill.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/nme.1620340318
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    Paper (German National Licenses)
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  • 5
    Electronic Resource
    Electronic Resource
    A numerical study of the effect of free surface and water depth on the stability of wakes: use of GDQ formulation (1997)
    Chichester : Wiley-Blackwell
    International Journal for Numerical Methods in Fluids 24 (1997), S. 1079-1090 
    Details
    ISSN: 0271-2091
    Keywords: wake flow ; free surface ; instability ; GDQ method ; Engineering ; Numerical Methods and Modeling
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: The instability character of a wake in the presence of a free surface is examined by a recently developed GDQ (generalized differential quadrature) numerical method. It is shown that at low Froude number the wake near a free surface is convectively unstable, but when the Froude number is increased further it becomes absolutely unstable. The effect of water depth on the stability property of the wake flow is also investigated. It is found that the influence of water depth on the critical point of instability is limited to at most 20% variation in the complex frequency, while the change in temporal growth rate is also limited to about 20%. © 1997 John Wiley & Sons, Ltd.
    Additional Material: 7 Ill.
    Type of Medium: Electronic Resource
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    Paper (German National Licenses)
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