THE JOINT DISTRIBUTION OF THE VIRTUAL WAITINGTIME AND THE RESIDUAL BUSY PERIOD FOR THE M/G/1 QUEUE,

Abstract

In the M/G/1 queue, the joint distribution of the virtual waitingtime and the residual duration of the busy period at any time t, is given by a formula analogous to the one for the virtual waitingtime by itself. In the limit, as t approaches limit of infinity, the limiting joint distribution is given by a formula of the Pollaczek-Khintchine type. (Author)

Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1967
Accession Number
AD0659062

Entities

People

  • Marcel F. Neuts

Organizations

  • Purdue University

Tags

DTIC Thesaurus Topics

  • Residuals

Fields of Study

  • Mathematics

Readers

  • Mathematical Modeling and Probability Theory.
  • Structural Health Monitoring of Composite Structures.