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  • Articles  (4)
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  • Articles: DFG German National Licenses  (4)
  • Latest Papers from Table of Contents or Articles in Press
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  • 1
    Electronic Resource
    Electronic Resource
    Springer
    Annals of operations research 8 (1987), S. 27-40 
    ISSN: 1572-9338
    Keywords: Markov processes ; numerical methods ; left-skip-free transitions ; Markov decision processes ; queues
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Economics
    Notes: Abstract Recursive methods have been proposed for the numerical solution of equations arising in the analysis and control of Markov processes. Two examples are (i) solving for the equilibrium probabilities, and (ii) solving for the minimal expected cost or time to reach state zero, in a Markov process with left-skip-free transition structure. We discuss conditions under which recursive techniques are numerically stable and efficient, giving applications to descriptive and control models for queues.
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    Springer
    Annals of operations research 8 (1987), S. 57-73 
    ISSN: 1572-9338
    Keywords: Approximations ; product-form solutions ; limit theorems
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Economics
    Notes: Abstract Network models in which each node is a loss system frequently arise in telephony. Models with several hundred nodes are common. Suppose a customer requires a server from each of several nodes. It would be convenient if the probability that the required servers are all free were approximately a product, where each term is the probability a required node has a free server. We present some theorems to support this approximation. Most of the theorems are restricted to nodes with one server. Some of the difficulties in analyzing nodes with multiple servers are described.
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  • 3
    Electronic Resource
    Electronic Resource
    Springer
    Annals of operations research 8 (1987), S. 117-132 
    ISSN: 1572-9338
    Keywords: Control of queueing networks ; decomposition ; Markov decision processes
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Economics
    Notes: Abstract We devise a decomposition approximation method for a general branching queueing network with service-rate controls. The decomposition method, which reduces and simplifies computation routines considerably, results from the conditions for monotone optimal control policies in induction arguments. We first isolate each branch of connected queues as a subnetwork and then link the subnetworks through branching nodes to approximate the optimal control policies for the global network. The numerical results for a wide class of cost models show that the approximated optimal policies from the decomposed problems are sufficiently close to the optimal policies of the global problem.
    Type of Medium: Electronic Resource
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  • 4
    Electronic Resource
    Electronic Resource
    Springer
    Annals of operations research 9 (1987), S. 615-628 
    ISSN: 1572-9338
    Keywords: Bayesian paradigm ; Bayes ; statistical inference ; applied probability ; uncertainty
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Economics
    Notes: Abstract This paper is based on an invited lecture given by the author at the ORSA/TIMS Special Interest Group on Applied Probability Conference onStatistical and Computational Problems in Probability Modeling, held at Williamsburg, Virginia, January 7–9, 1985. The theme of this paper is twofold. First, that members of the above group should be seriously concerned with issues of statistical inference — they should not stop short upon proposing a probability model. Second, that inference be undertaken via a strict adherence to the rules of probability — the Bayesian paradigm. To underscore a need for emphasizing the first theme, it may be pertinent to note that an overwhelming majority of the papers dealing with statistical and inferential issues that were presented at this conference were authored by members who did not claim to belong to the ORSA/TIMS Special Interest Group on Applied Probability. The lecture was followed by a panel discussion, with Drs. Lyle Broemeling and Edward Wegman of the Office of Naval Research as discussants. Dr. Robert Launer of the Army Research Office served as a moderator. Discussions from the floor included comments by Professors D. Harrington of Harvard University, E. Parzen of Texas A & M University, and R. Smith of Imperial College, London, England. This paper, and the comments of the panelists, are published in this volume of theAnnals of Operations Research, which is going to serve as a Proceedings of the Conference.
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