1. On the busy period of the modified GI/G/1 queue
- Author
-
A. G. Pakes
- Subjects
Statistics and Probability ,Discrete mathematics ,021103 operations research ,M/G/k queue ,Service time ,General Mathematics ,0211 other engineering and technologies ,Duality (optimization) ,02 engineering and technology ,Period duration ,01 natural sciences ,010104 statistics & probability ,M/G/1 queue ,0101 mathematics ,Statistics, Probability and Uncertainty ,Queue ,Bulk queue ,Period (music) ,Mathematics - Abstract
Proceeding from duality results for the GI/G/1 queue, this paper obtains the probability of the number served in a busy period of a GI/G/1 system where customers initiating a busy period have a different service time distribution from other customers. Using duality arguments for processes with interchangeable increments, the Laplace transform of the busy period duration is found for a modified GI/M/1 queue.
- Published
- 1973