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Your search keyword '"Li, Junping"' showing total 15 results
Start Over Author "Li, Junping" Topic 60j27
15 results on '"Li, Junping"'

1. Birth-Death processes with two-type catastrophes

Author

Li, Junping

Subjects
Mathematics - Probability, 60J27
Abstract

This paper concentrates on the general birth-death processes with two different types of catastrophes. The Laplace transform of transition probability function for birth-death processes with two-type catastrophes are is successfully expressed with the Laplace transform of transition probability function of the birth-death processes without catastrophe. The first effective catastrophe occurrence time is considered. The Laplace transform of its probability density function, expectation and variance are obtained., Comment: 18 pages

Published
2024

15. M / M/ c Queue with catastrophes and state-dependent control at idle time.

Author

Li, Junping and Zhang, Lina

Subjects
*CATASTROPHES (Mathematics), *DIFFERENTIABLE mappings, *PROBABILITY theory, *EQUILIBRIUM, *LAPLACE transformation
Abstract

We consider an M / M/ c queue with catastrophes and state-dependent control at idle time. Properties of the queues which terminate when the servers become idle are first studied. Recurrence, equilibrium distribution, and equilibrium queue-size structure are studied for the case of resurrection and no catastrophes. All of these properties and the first effective catastrophe occurrence time are then investigated for the case of resurrection and catastrophes. In particular, we obtain the Laplace transform of the transition probability for the absorbing M / M/ c queue. [ABSTRACT FROM AUTHOR]

Published
2017
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