Superposition of renewal processes
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In this article, the authors extended the asymptotic results for ordinary renewal processes to the superposition of independent renewal processes and applied the key superposition renewal theorem to the study of renewal superpositions.Abstract:
This paper extends the asymptotic results for ordinary renewal processes to the superposition of independent renewal processes. In particular, the ordinary renewal functions, renewal equations, and the key renewal theorem are extended to the superposition of independent renewal processes. We fix the number of renewal processes, p, and study the asymptotic behavior of the superposition process when time, t, is large. The key superposition renewal theorem is applied to the study ofread more
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Centralized and Decentralized Warehouse Logistics Collaboration
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Superposed continuous renewal processes A Markov renewal approach
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References
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An Introduction to Probability Theory and Its Applications.
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A first course in stochastic processes
Samuel Karlin,Howard M. Taylor +1 more
TL;DR: In this paper, the Basic Limit Theorem of Markov Chains and its applications are discussed and examples of continuous time Markov chains are presented. But they do not cover the application of continuous-time Markov chain in matrix analysis.
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TL;DR: The authors introduce probability theory for both advanced undergraduate students of statistics and scientists in related fields, drawing on real applications in the physical and biological sciences, and make probability exciting." -Journal of the American Statistical Association