A Duality Theorem for Phase Type Queues.
Abstract
A duality theorem of Heathcote exhibiting and relationship between first passage times of the queue length in the GI/M/1 queue and the busy period of its dual M/G/1 queue is generalized to the phase type queues GI/PH1 and PH/G/1. 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)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jun 01, 1978
- Accession Number
- ADA059509
Entities
People
- Marcel F. Neuts
- V. Ramaswami
Organizations
- University of Delaware