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  • 1
    Electronic Resource
    Electronic Resource
    Informational properties of the Nash solutions of two stochastic nonzero-sum games
    Amsterdam : Elsevier
    Journal of Economic Theory 7 (1974), S. 370-387 
    Details
    ISSN: 0022-0531
    Source: Elsevier Journal Backfiles on ScienceDirect 1907 - 2002
    Topics: Economics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1016/0022-0531(74)90110-0
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  • 2
    Electronic Resource
    Electronic Resource
    Optimizing discrete event dynamic systems via the gradient surface method (1992)
    Springer
    Discrete event dynamic systems 2 (1992), S. 99-120 
    Details
    ISSN: 1573-7594
    Keywords: discrete event dynamic systems ; stochastic optimization ; response surface ; gradient surface ; perturbation analysis ; likelihood ratios ; single-run optimization
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract In this paper we propose a gradient surface method (GSM) for the optimization of discrete event dynamic systems. GSM combines the advantages of response surface methodology (RSM) and efficient derivative estimation techniques like perturbation analysis (PA) or likelihood ratio method (LR). In GSM, the gradient estimation is obtained by PA (or LR), and the performance gradient surface is obtained from observations at various points in a fashion similar to the RSM. Zero points of the successive approximating gradient surface are then taken as the estimates of the optimal solution. GSM is characterized by several attractive features: it is a single-run method and more efficient than RSM; it uses at each iteration step the information from all data points rather than just the local gradient; it tries to capture the global features of the gradient surface and thereby quickly arrives at the vicinity of the optimal solution. A number of examples are exhibited to illustrate this method.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01797723
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  • 3
    Electronic Resource
    Electronic Resource
    Editorial (1992)
    Springer
    Discrete event dynamic systems 2 (1992), S. 5-5 
    Details
    ISSN: 1573-7594
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01797278
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  • 4
    Electronic Resource
    Electronic Resource
    Editorial (1993)
    Springer
    Discrete event dynamic systems 3 (1993), S. 315-315 
    Details
    ISSN: 1573-7594
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01439155
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  • 5
    Electronic Resource
    Electronic Resource
    On derivative estimation of single-server queues via structural infinitesimal perturbation analysis (1995)
    Springer
    Discrete event dynamic systems 5 (1995), S. 5-32 
    Details
    ISSN: 1573-7594
    Keywords: discrete event dynamic systems ; perturbation analysis ; derivative estimation ; queueing systems
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract In Dai and Ho (1994) we developed a method, referred to asstructural infinitesimal perturbation analysis (SIPA), to address the need for derivative estimation with respect to a special type of parameter. However, it was not clear how much computational effort is required to implement this method. Derivative estimation via SIPA can be complicated in implementation. Such computational problems, also arise in several other derivative estimation methods. In this paper we take SIPA as a typical method and apply it to a special class of DEDS-several variations of single-server queues, focusing on the issue of implementation. We demonstrate that SIPA can be efficiently implemented. In some cases, it can be as simple as theinfinitesimal perturbation analysis (IPA), method which is considered to be the most efficient method available so far. The main approach we take is to combine SIPA with finite perturbation analysis and cut-and-paste techniques. Explicit formulae are given to various problems, some being impossible to solve using the traditional IPA method. Numerical examples are employed to illustrate the results.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01438605
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  • 6
    Electronic Resource
    Electronic Resource
    A Codesign Approach to Real-time High Precision Control (2000)
    Springer
    Real-time systems 19 (2000), S. 41-60 
    Details
    ISSN: 1573-1383
    Keywords: Codesign ; FPGA ; Spring Forming Machine
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science
    Notes: Abstract A new approach to design a high precision real-time control system for a spring forming machine is presented. This system is designed to satisfy the required high motor speed command signal and the product to product tolerance is limited to 0.1%. An innovative variable pulse generation algorithm is proposed for the activation of the motor in order to meet the stringent specifications. Because of the high speed command, software implementation of this algorithm would not be viable as this is intended to be a low cost automation system. To further enhance the system performance, an overall system architecture to incorporate a hardware solution is proposed. This new architecture comprises hardware and software functionality such that the codesign methodology is employed for the partitioning of the design procedures. Within this architecture, software development includes a user-friendly, safety and fault detection facility to improve the human-machine interface. This new precision control system meets the required performance specifications with only two-pieces of 2K gates Field Programmable Gate Array (FPGA) Actel chips are required for the implementation.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1008184206285
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  • 7
    Electronic Resource
    Electronic Resource
    Further properties of nonzero-sum differential games (1969)
    Springer
    Journal of optimization theory and applications 3 (1969), S. 207-219 
    Details
    ISSN: 1573-2878
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract The general nonzero-sum differential game hasN players, each controlling a different set of inputs to a single nonlinear dynamic system and each trying to minimize a different performance criterion. These general games have several interesting features which are absent in the two bestknown special cases (the optimal control problem and the two-person, zero-sum differential game). This paper considers some of the difficulties which arise in attempting to generalize ideas which are well known in optimal control theory, such as theprinciple of optimality and the relation betweenopen-loop andclosed-loop controls. Two types of solutions are discussed: theNash equilibrium and thenoninferior set. Some simple multistage discrete games are used to illustrate phenomena which also arise in the continuous formulation.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00926523
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  • 8
    Electronic Resource
    Electronic Resource
    Nonzero-sum differential games (1969)
    Springer
    Journal of optimization theory and applications 3 (1969), S. 184-206 
    Details
    ISSN: 1573-2878
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract The theory of differential games is extended to the situation where there areN players and where the game is nonzero-sum, i.e., the players wish to minimize different performance criteria. Dropping the usual zero-sum condition adds several interesting new features. It is no longer obvious what should be demanded of asolution, and three types of solutions are discussed:Nash equilibrium, minimax, andnoninferior set of strategies. For one special case, the linear-quadratic game, all three of these solutions can be obtained by solving sets of ordinary matrix differential equations. To illustrate the differences between zero-sum and nonzero-sum games, the results are applied to a nonzero-sum version of a simple pursuit-evasion problem first considered by Ho, Bryson, and Baron (Ref. 1).Negotiated solutions are found to exist which give better results forboth players than the usualsaddle-point solution. To illustrate that the theory may find interesting applications in economic analysis, a problem is outlined involving the dividend policies of firms operating in an imperfectly competitive market.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00929443
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  • 9
    Electronic Resource
    Electronic Resource
    On the perturbation analysis of discrete-event dynamic systems (1985)
    Springer
    Journal of optimization theory and applications 46 (1985), S. 535-545 
    Details
    ISSN: 1573-2878
    Keywords: Perturbation analysis ; dynamic systems ; discrete-event dynamic systems ; queueing networks
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract The paper describes a new approach to the analysis and optimization of discrete-event dynamic systems, such as queueing networks.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00939158
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  • 10
    Electronic Resource
    Electronic Resource
    A note on linear-quadratic pursuit-evasion differential games (1970)
    Springer
    Journal of optimization theory and applications 5 (1970), S. 449-451 
    Details
    ISSN: 1573-2878
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract An interpretation of the zero-sum, two-person, linear-quadratic differential game is provided via the bargaining and threat theory of nonzerosum games.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00927443
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