THE INFINITE SERVER QUEUE WITH SEMI-MARKOVIAN ARRIVALS AND NEGATIVE EXPONENTIAL SERVICES.

Abstract

The queue with an infinite number of servers with a semi-Markovian arrival process and with negative exponential service times is studied. The queuelength process and the type of the last customer to join the queue before time t are studied jointly, both in continuous and in discrete time. Asymptotic results are also obtained. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1970
Accession Number
AD0710754

Entities

People

  • Marcel F. Neuts
  • Shun-zer Chen

Organizations

  • Purdue University

Tags

Communities of Interest

  • Materials and Manufacturing Processes

Fields of Study

  • Mathematics

Readers

  • Mathematical Modeling and Probability Theory.