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- W91439453 abstract "SUMMARY A general class of non‐diffusion stochastic models is introduced with a view to providing a framework for studying optimization problems arising in queueing systems, inventory theory, resource allocation and other areas. The corresponding stochastic processes are Markov processes consisting of a mixture of deterministic motion and random jumps. Stochastic calculus for these processes is developed and a complete characterization of the extended generator is given; this is the main technical result of the paper. The relevance of the extended generator concept in applied problems is discussed and some recent results on optimal control of piecewise‐deterministic processes are described." @default.
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- W91439453 date "1984-07-01" @default.
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- W91439453 title "Piecewise‐Deterministic Markov Processes: A General Class of Non‐Diffusion Stochastic Models" @default.
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- W91439453 doi "https://doi.org/10.1111/j.2517-6161.1984.tb01308.x" @default.
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