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  • Articles  (5)
  • Articles: DFG German National Licenses  (5)
  • dynamic programming  (5)
  • Springer  (5)
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  • 2005-2009
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  • 1982  (5)
  • Mathematics  (5)
  • Computer Science
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  • Articles  (5)
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  • Articles: DFG German National Licenses  (5)
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  • Springer  (5)
  • American Chemical Society
  • Annual Reviews
  • Blackwell Publishing Ltd
  • Elsevier
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  • 2005-2009
  • 1990-1994
  • 1980-1984  (5)
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  • Mathematics  (5)
  • Computer Science
  • 1
    Electronic Resource
    Electronic Resource
    Springer
    Journal of optimization theory and applications 38 (1982), S. 409-422 
    ISSN: 1573-2878
    Keywords: Optimization ; scalar optimization ; vector optimization ; optimization under vector-valued criteria ; maximum principle ; dynamic programming ; optimization of dynamic systems ; multi-criteria decision problems
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract The optimal control problem with vector-valued criteria is considered. A new approach to the generalization of this problem and a method of constructing the Bellman function are given.
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  • 2
    Electronic Resource
    Electronic Resource
    Springer
    Journal of optimization theory and applications 37 (1982), S. 419-442 
    ISSN: 1573-2878
    Keywords: Optimal stochastic control ; impulsive control ; management ; dynamic programming
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract An outline of impulsive control and its applications in management is reviewed. Conditions for optimal impulsive controls when the dynamic process is given by a stochastic differential equation with Wiener and jump processes are given. Applications to inventory control, capacity expansion, vehicle dispatching, maintenance-replacement-inspection, and pricing problems are formulated, and optimality conditions found. Although there are many other applications that can be outlined, these provide some motivation for further study in this emerging field.
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  • 3
    Electronic Resource
    Electronic Resource
    Springer
    Journal of optimization theory and applications 37 (1982), S. 251-275 
    ISSN: 1573-2878
    Keywords: Economics ; political cycles ; discrete dynamic systems ; dynamic programming ; optimal control ; Poincaré mapping ; Stieltjes matrix ; optimization in Hilbert space ; infinite horizon ; turnpike theorem
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract Under the hypothesis of a myopic electorate, vote-loss-minimizing behavior by the party in power, subject to a dynamic inflation-unemployment relation, is shown to generate an attractive, stable electoral policy cycle. The model presented is derived, with some improvements, from the analogous models of MacRae and Nordhaus. Furthermore, an attempt is made to specify the mathematical aspects of the problem by the Poincaré mapping.
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  • 4
    Electronic Resource
    Electronic Resource
    Springer
    Journal of optimization theory and applications 38 (1982), S. 43-69 
    ISSN: 1573-2878
    Keywords: Multicriteria optimization ; dynamic programming ; discrete optimization ; integer programming
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract Fundamental dynamic programming recursive equations are extended to the multicriteria framework. In particular, a more detailed procedure for a general recursive solution scheme for the multicriteria discrete mathematical programming problem is developed. Definitions of lower and upper bounds are offered for the multicriteria case and are incorporated into the recursive equations to aid problem solution by eliminating inefficient subpolicies. Computational results are reported for a set of 0–1 integer linear programming problems.
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  • 5
    Electronic Resource
    Electronic Resource
    Springer
    Journal of optimization theory and applications 38 (1982), S. 221-230 
    ISSN: 1573-2878
    Keywords: Optimal control ; dynamic programming ; singular perturbations ; system order reduction
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract The singular perturbation method is used in dynamic programming to reduce the order and the computational requirements of linear systems composed of slow and fast modes. After the fast modes are separated, a near-optimum solution is computed at two different iteration rates determined by the slow and fast subsystem dynamics. The result is a reduction in the order of the computational requirement of the given system to that of the slow subsystem.
    Type of Medium: Electronic Resource
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