THE STATIONARY BEHAVIOR OF A TIME-SHARING SYSTEM UNDER POISSON ASSUMPTIONS.

Abstract

In a recent paper (AD-611 866), the author analyzed a Markov chain imbedded in the stochastic process (X(t);t> or = 0) where X(t) denotes the number of active channels at time t in a time-sharing system with both interarrival and service times exponential and a finite number of users. In this paper, by using renewaltheoretic arrangements, the limiting distribution of X(t) is obtained as t goes to infinity over all time points. The equilibrium waiting time has also been analyzed. (Author)

Document Details

Document Type
Technical Report
Publication Date
Sep 03, 1965
Accession Number
AD0622012

Entities

People

  • B. Krishnamoorthi

Organizations

  • System Development Corporation

Tags

DTIC Thesaurus Topics

  • Markov Chains
  • Markov Processes
  • Mathematics
  • Stationary
  • Stochastic Processes

Fields of Study

  • Mathematics

Readers

  • Mathematical Modeling and Probability Theory.
  • Systems Analysis and Design