Summary: Stochastic Modelling Operation Management
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Read the summary and the most important questions on Stochastic Modelling Operation Management
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1 Markov Chains
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What is meant with the steady state probabilities?
Probabilities to describe long-run behaviour of a Markov chain. -
Explain the objective of the mean first passage time and how you calculate it;
Expected number of transitions before reaching state j given you are in state i. -
What is the definition of a closed set and what is closed set in the image.
When no state outside S is reachable from any state S. S1 and S2 are both closed sets. -
What is the definition of an absorbing state?
Whenever you enter an absorbing state you never leave the state. It is a closed set containing only one state. -
What is the definition of a transient state?
State i is transient when there exists a state j that is reachable from i but, i is not reachable from j.
There is a way to leave i but never return to i. -
When is a chain called ergodic?
When it communicates, is aperiodic recurrent. -
What is the opposite of ergodic?
Nonergodic -
2 Queuing theory
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2.1 Terminology
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What is meant with bulk arrivals
More than one arrival canoccur at a giveninstant (most of the time not allowed); -
What is a finite source model
Arrivals are drawn from small (most of the times ending) population; -
What are balked customers?
Customer arrives but fails to enter the system;
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