Compensating Operator and Weak Convergence of Semi-Markov Process to the Diffusion Process without Balance Condition

consequence analysis of the leakage, ignition and explosion during high pressure sour gas injection process to the oil reservoir

there is no doubt that human being needs to become integrated with industry and industry needs to be progressed, daily. on the other hand, serious events in industrial units specially in oil industries has been shown that such damages and events are industry related ones. the consequence of such events and damages which resulted in chemical and poisoned explosions and loss of life and property ...

Optimization for condition-based maintenance with semi-Markov decision process

The semi-Markov decision model is a powerful tool in analyzing sequential decision processes with random decision epochs. In this paper, we have built the semi-Markov decision process (SMDP) for the maintenance policy optimization of condition-based preventive maintenance problems, and have presented the approach for joint optimization of inspection rate and maintenance policy. Through numerica...

Weak Convergence of the Financial Gain Process'

Conditions suitable for applications in finance are given for the weak convergence (or convergence in probability) of stochastic integrals. For example, consider a sequence Sn of security price processes converging in distribution to S and a sequence 8" of trading strategies converging in distribution to 0. We survey conditions under which the financial gain process J 0" dSn converges in distri...

Chapter 8 SEMI - MARKOV PROCESS

In many (if not most) real-world applications, the arrival of customers to a service center is not well described by renewal processses. Quite often, the times between successive arrivals are correlated, whereas renewal processes have independent interarrival times. A natural generalization is the class of semiMarkov processes (SMP), which when specifically applied to the arrival of customers a...

Multiplicative Operator Functionals of a Markov Process