1,721,032 research outputs found
Simulation-Based Approach for Semiconductor Fab-Level Decision Making - Implementation Issues
In this paper, we discuss implementation issues of applying a simulation-based approach to asemiconductor fab-level decision making problem. The fab-level decision making problem isformulated as a Markov Decision Process (MDP). We intend to use a simulation-based approach sinceit can break the "curse of dimensionality" and the "curse of modeling" for an MDP with largestate and control spaces. We focus on how to parameterize the state space and the control space
Simulation-Based Algorithms for Average Cost Markov Decision Processes
In this paper, we give a summary of recent development of simulation-based algorithmsfor average cost MDP problems, which are different from those for discounted cost problems or shortest pathproblems. We introduce both simulation-based policy iteration algorithms and simulation-based value iterationalgorithms for average cost problems, and give the pros and cons of each algorithm
An Asymptotically Efficient Algorithm for Finite Horizon Stochastic Dynamic Programming Problems
We present a novel algorithm, called ``Simulated Annealing Multiplicative Weights", for approximately solving large finite-horizon stochastic dynamic programming problems. The algorithm is ``asymptotically efficient" in the sense that a finite-time bound for the sample mean of the optimal value function over a given finite policy space can be obtained, and the bound approaches the optimal value as the number of iterations increases.The algorithm updates a probability distribution over the given policy space with a very simple rule, and the sequence of distributions generated by the algorithm converges to a distribution concentrated only on the optimal policies for the given policy space. We also discuss how to reduce the computational cost of the algorithm to apply it in practice
Multi-time Scale Markov Decision Processes
This paper proposes a simple analytical model called M time-scale MarkovDecision Process (MMDP) for hierarchically structured sequential decision making processes, where decisions in each level in the M-level hierarchy are made in M different time-scales. In this model, the state space and the control space ofeach level in the hierarchy are non-overlapping with those of the other levels, respectively, and the hierarchy is structured in a "pyramid" sense such that a decision made at level m (slower time-scale) state and/or the state will affect the evolutionary decision making process of the lower level m+1 (faster time-scale) until a new decision is made at the higher level but the lower level decisions themselves do not affect the higher level's transition dynamics. The performance produced by the lower level's decisions will affect the higher level's decisions.A hierarchical objective function is defined such that the finite-horizon value of following a (nonstationary) policy at the level m+1 over a decision epoch of the level m plus an immediate reward at the level m is the single step reward for the level m decision making process. From this we define "multi-level optimal value function" and derive "multi-level optimality equation."We discuss how to solve MMDPs exactly or approximately and also study heuristic on-line methods to solve MMDPs. Finally, we give some example control problems that can be modeled as MMDPs
Risk-Sensitive Probability for Markov Chains
The probability distribution of a Markov chain is viewed as the information state of an additive optimization problem. This optimization problem is then generalized to a product form whose information state gives rise to a generalized notion of probability distributionfor Markov chains. The evolution and the asymptoticbehavior of this generalized or "risk-sensitive"probability distribution is studied in this paper and a conjecture isproposed regarding the asymptotic periodicity of risk-sensitive probability. The relation between a set of simultaneous non-linear equations and the set of periodic attractors is analyzed. <p
Randomized Difference Two-Timescale Simultaneous Perturbation Stochastic Approximation Algorithms for Simulation Optimization of Hidden Markov Models
We proposetwo finite difference two-timescale simultaneous perturbationstochastic approximation (SPSA)algorithmsfor simulation optimization ofhidden Markov models. Stability and convergence of both thealgorithms is proved.Numericalexperiments on a queueing model with high-dimensional parameter vectorsdemonstrate orders of magnitude faster convergence using thesealgorithms over related -Simulation finite difference analoguesand another two-simulation finite difference algorithm that updates incycles
Approximate Policy Iteration for Semiconductor Fab-Level Decision Making - a Case Study
In this paper, we propose an approximate policy iteration (API) algorithm for asemiconductor fab-level decision making problem. This problem is formulated as adiscounted cost Markov Decision Process (MDP), and we have applied exact policy iterationto solve a simple example in prior work. However, the overwhelmingcomputational requirements of exact policy iteration prevent its application forlarger problems. Approximate policy iteration overcomes this obstacle by approximating thecost-to-go using function approximation. Numerical simulation on the same example showsthat the proposed API algorithm leads to a policy with cost close to that of the optimalpolicy
Going Beyond Counting First Authors in Author Co-citation Analysis
The present study examines one of the fundamental aspects of author co-citation analysis (ACA) - the way co-citation
counts are defined. Co-citation counting provides the data on which all subsequent statistical analyses and mappings
are based, and we compare ACA results based on two different types of co-citation counting - the traditional type that
only counts the first one among a cited work's authors on the one hand and a non-traditional type that takes into
account the first 5 authors of a cited work on the other hand. Results indicate that the picture produced through this non-traditional author co-citation counting contains more coherent author groups and is therefore considerably clearer. However, this picture represents fewer specialties in the research field being studied than that produced through the traditional first-author co-citation counting when the same number of top-ranked authors is selected and analyzed. Reasons for these effects are discussed
Variations on the Author
“Variations on the Author” discusses two of Eduardo Coutinho’s recent films (Um Dia na Vida, from 2010, and Últimas Conversas, posthumously released in 2015) and their contribution to the general question of documentary authorship. The director’s filmography is characterized by a consistent yet self-effacing form of authorial self-inscription: Coutinho often features as an interviewer that rather than express opinions propels discourses; an interviewer that is good at listening. This mode of self-inscription characterizes him as an author who is not expressive but who is nonetheless markedly present on the screen. In Um Dia na Vida, however, Coutinho is completely absent form the image, while Últimas Conversas, on the contrary, includes a confessional prologue that moves the director from the margins to the center of his films. This article examines the ways in which these works stand out in the filmography of a director who offers new insights into the notion of cinematic authorship
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