The algorithm can be used to solve the reducible finite state discrete time Markov Chains,especially to solve the Markov Chain which has trancient states and can be partitioned into many partitions.

Particles in gassolid fluidized bed are in ideal mixing at each stage and there exists continuous stirred tank reactor (CSTR) for back mixing at interstage. Under steady state condition, the process is just Markovian process which has a state discretetime of continuously timehomogeneous. From function of distribution density during retention time, its mathematical characteristic, namely, mathematical expectation and variance, can be obtained.

Inner current loop modeling of a kind of resonant DC link inverter,soft switching combination inverter,which works in current controlled three state discrete pulse modulation mode,is proposed. The modeling method is valid for double loop feedback controlled inverters which works in other modulation mode. Equivalent analytic model is established and used for voltage regulator design.

With the sample of Z COMPANY, a great state discrete enterprise, this article analyzes its construction and implementation of the manufacture operation management system and focuses on a few principles of its successful implementation systems. Furthermore, it presents some problems of the commonness which appear in the implementation of manufacture operation management system in the discrete enterprises in China.

In terms of parameter requirement of amplifier,the authors suggest here to adopt a pattern based on three state discrete pulse modulation, by which not only the tracking of given current of voltage can be realized but also the switching frequency can be restricted and the fluctuation of output current can be lowered.

This paper focuses on the dynamic join-leave process of multicast group members, supposes the number of members be a time continuous, state discrete Markov process according to the non-mnemonic property of the members' join-leave behavior, and deduces the birth-death model of IP multicast group behavior using probability mathematic method.

Finally, I examine the protection premium in ann-state discrete lottery and when uncertainty exists in both the probability and utility function.

This paper presents a mean squared error analysis of the harmonic gradient estimators for steady-state discrete-event simulation outputs.

A simple two-stage finite state discrete game is used to illustrate these properties.

We present a procedure for constructing sound finite-state discrete abstractions of hybrid systems.

It is demonstrated that, when the sampling step tends to zero the asymptotic transient and steady-state discrete-time solutions correctly tend to the asymptotic continuous-time solutions.

The embedding problem for homogeneous Markov Chains,which may be a cut-off one is discussed for the first time in this paper.A complete solution of this problem with two states is given.The construction of all the two states discrete skeletons is given in1,and a sufficient and necessary condition for the embeddabilityof two states sub-Markovian matrix is given in 2,Finally,theuniqueness of the continuous expansion is proved.As a consequence of the results in this paper we can deriveall the...

The embedding problem for homogeneous Markov Chains,which may be a cut-off one is discussed for the first time in this paper.A complete solution of this problem with two states is given.The construction of all the two states discrete skeletons is given in1,and a sufficient and necessary condition for the embeddabilityof two states sub-Markovian matrix is given in 2,Finally,theuniqueness of the continuous expansion is proved.As a consequence of the results in this paper we can deriveall the conclusions of[2] about the embedding problem for thenon-cut-off homogeneous Makov Chains with two states.

Now the Fuzzy σ-Algebra and Fuzzy Proba-bility Space has been built, and On this base the concept of mathematical definition of a induction random variable has been presented. In the light of what is abovementieond, this paper gives the general concepts of the Time-Con tinuousand State-Discrete F-random process, and discussions are made inmore detail to the most miportant type of them, the F-random process with independent "increments". Thereby, the concepts of the sum and difference of fuzzy sets...

Now the Fuzzy σ-Algebra and Fuzzy Proba-bility Space has been built, and On this base the concept of mathematical definition of a induction random variable has been presented. In the light of what is abovementieond, this paper gives the general concepts of the Time-Con tinuousand State-Discrete F-random process, and discussions are made inmore detail to the most miportant type of them, the F-random process with independent "increments". Thereby, the concepts of the sum and difference of fuzzy sets are firstly introduced, and then the definition of F-random process with independent "increments"is given and some important properties are derivedout. Finally, it is proved that F-rardom process with independent "increments"under cert ain conditions is a F-Markov process.

An algorithm for computing the stationary distribution of finite state discrete time Markov Chains is provided in the paper.The core of the algorithm is partitioning the state transition diagram of a Markov chain,and running a topological sort algorithm to the state sub spaces just divided,and then computing every state sub space and accordingly regenerating the initial distribution of the Markov Chain according to the topological seqence.The algorithm can be used to solve the reducible finite state...

An algorithm for computing the stationary distribution of finite state discrete time Markov Chains is provided in the paper.The core of the algorithm is partitioning the state transition diagram of a Markov chain,and running a topological sort algorithm to the state sub spaces just divided,and then computing every state sub space and accordingly regenerating the initial distribution of the Markov Chain according to the topological seqence.The algorithm can be used to solve the reducible finite state discrete time Markov Chains,especially to solve the Markov Chain which has trancient states and can be partitioned into many partitions.