Elements of the Theory of Markov Processes and Their ApplicationsGraduate-level text and reference in probability, with numerous scientific applications. Nonmeasure-theoretic introduction to theory of Markov processes and to mathematical models based on the theory. Appendixes. Bibliographies. 1960 edition. |
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Page 377
Albert T. Bharucha-Reid. necessary to consider various ways of representing queueing systems so that their stochastic properties can be ascertained . In Sec . 9.3 we consider queueing problems arising in the theory of telephone traffic ...
Albert T. Bharucha-Reid. necessary to consider various ways of representing queueing systems so that their stochastic properties can be ascertained . In Sec . 9.3 we consider queueing problems arising in the theory of telephone traffic ...
Page 383
Albert T. Bharucha-Reid. equilibrium behavior of queueing systems , we now consider the non- equilibrium behavior of a simple queueing system . The system we consider is of type M / M / 1 ; hence , the system is a single - server queue ...
Albert T. Bharucha-Reid. equilibrium behavior of queueing systems , we now consider the non- equilibrium behavior of a simple queueing system . The system we consider is of type M / M / 1 ; hence , the system is a single - server queue ...
Page 409
... queueing system . Let the random variable X ( t ) denote the number of machines not working at time t and let P ( t ) = P { X ( t ) = x } , x = 0 , 1 , ... , m . If at time t there are x machines not working , we will say that the queueing ...
... queueing system . Let the random variable X ( t ) denote the number of machines not working at time t and let P ( t ) = P { X ( t ) = x } , x = 0 , 1 , ... , m . If at time t there are x machines not working , we will say that the queueing ...
Other editions - View all
Elements of the Theory of Markov Processes and Their Applications A. T. Bharucha-Reid Limited preview - 2012 |
Elements of the Theory of Markov Processes and Their Applications Albert T. Bharucha-Reid Limited preview - 1997 |
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absorber Acad applications assume assumptions asymptotic birth process birth-and-death process boundary branching processes cascade process cascade theory coefficients collision consider counter defined denote the number denote the probability derive deterministic differential equation diffusion equations diffusion processes distribution function E₁ electron-photon cascades epidemic expression Feller finite fluctuation problem functional equation given Hence initial condition integral equation interval 0,t ionization Jánossy Kolmogorov equations Laplace transform Let the random machine Markov chain Markov processes Math mathematical matrix Mellin transform Messel method Monte Carlo methods neutron nucleon nucleon cascades number of individuals o(At obtain P₁ photon Phys Poisson process population probability distribution Proc queueing process queueing system r₁ r₂ radiation Ramakrishnan random variable random variable X(t recurrent satisfies Statist stochastic model Stochastic Processes t₁ t₂ Takács Theorem tion transition probabilities X₁ zero дх