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Titlebook: Computational Probability; Algorithms and Appli John H. Drew,Diane L. Evans,Lawrence M. Leemis Book 2017Latest edition Springer Internation

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Transient Queueing Analysiseveloped. Maple computer code is developed to implement the transient queue analysis for many system measures of performance without regard to traffic intensity (i.e., the system may be unstable with traffic intensity greater than one).
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Instrumente des Supply Chain Management,This chapter presents an algorithm for computing the PDF of the sum of two independent discrete random variables, along with an implementation of the algorithm in APPL. Some examples illustrate the utility of this algorithm.
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Strategien des Supply Chain Management,This chapter presents an algorithm for computing the PDF of order statistics drawn from discrete parent populations, along with an implementation of the algorithm in APPL. Several examples illustrate the utility of this algorithm.
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https://doi.org/10.1007/978-3-8349-9549-0The remaining chapters contain dozens of computational probability applications using APPL. The applications range in complexity from brief examples to results and algorithms requiring long derivations. This chapter surveys some applications in reliability and the closely-related field of survival analysis.
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Wolf-Rüdiger Bretzke,Michael KlettThis chapter considers Bayesian applications of APPL. Section 14.1 introduces Bayesian statistics and motivates the use of a computer algebra system to derive posterior distributions. Section 14.2 develops algorithms in the case of a single unknown parameter. Section 14.3 develops algorithms in the case of multiple unknown parameters.
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Sebastian Kahlmeyer,Jürgen O. LiebertThis chapter contains miscellaneous computational probability applications. Section . concerns algorithms for calculating the probability distribution of the longest path of a series-parallel stochastic activity network with continuous activity durations.
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