A Note on the Joint Distribution of the Duration of a Busy Period and the Total Queueing Time.

Abstract

Let Z sub 1 be total time lost by customers in a busy period of duration U in an M/M/1 queue. A formula is obtained for the joint Laplace transform of Z and U and product moments of these quantities are given up to those of order three. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1976
Accession Number
ADA026445

Entities

People

  • Walter L. Smith

Organizations

  • University of North Carolina at Chapel Hill

Tags

Fields of Study

  • Mathematics

Readers

  • Mathematical Modeling and Probability Theory.
  • Mathematics or Statistics