Accession Number:

ADA059509

Title:

A Duality Theorem for Phase Type Queues.

Descriptive Note:

Technical rept.,

Corporate Author:

DELAWARE UNIV NEWARK DEPT OF STATISTICS AND COMPUTER SCIENCE

Personal Author(s):

Report Date:

1978-06-01

Pagination or Media Count:

25.0

Abstract:

A duality theorem of Heathcote exhibiting and relationship between first passage times of the queue length in the GIM1 queue and the busy period of its dual MG1 queue is generalized to the phase type queues GIPH1 and PHG1. The phase type distributions include a number of well-known models such as generalized Erlang and hyper-exponential as special cases and form a versatile class with a number of interesting closure properties. Author

Subject Categories:

  • Statistics and Probability

Distribution Statement:

APPROVED FOR PUBLIC RELEASE