A Single Server Queue with Mixed Types of Interruptions.
DUKE UNIV DURHAM NC DEPT OF COMPUTER SCIENCE
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This document considered an MG1 queue with mixed types of Poisson interruptions. A derivation of the Laplace Steilties Transform of the completion time associated with a customers service is presented. The author introduces the definition of the effective service time and give probabilistic arguments to the derivation of the first and second moments of the completion time. The average number of customers in the system is obtained and the relation to the Pollaczek-Khintchine formula is noted. The results are applied to the modeling of checkpointing and recovery in a transactional system.
- Statistics and Probability