A Single Server Queue in a Hard-Real-Time Environment.

Abstract

This document considers a single server first in first out queue in which arriving task has to be completed within a certain period of time (its deadline). More precisely, each arriving task has its own deadline - a nonnegative real number - and as soon as the response time of one task exceeds its deadline, the whole system is considered to have failed. (In that sense the deadline is hard). The main practical motivation for analyzing such queues comes from the need to evaluate mathematically the reliability of computer systems working with real time constraints (space or aircraft systems for instance). The authors therefore are mainly concerned with the analytical characterization of the transient behavior of such a queue in order to determine the probability of meeting all hard deadlines during a finite period of time (the mission time). The probabilistic methods for analyzing such systems are suggested by earlier work on impatience in telecommunication systems. Additional keywords: functional equations. (Author).

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Document Details

Document Type
Technical Report
Publication Date
May 01, 1985
Accession Number
ADA160340

Entities

People

  • F. Baccelli
  • K. S. Trivedi

Organizations

  • Duke University

Tags

Communities of Interest

  • Air Platforms
  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Air Force
  • Analytic Functions
  • Communication Systems
  • Computer Science
  • Computers
  • Contour Integrals
  • Environment
  • Equations
  • Integral Equations
  • Integrals
  • Mathematics
  • Network Science
  • Numbers
  • Power Series
  • Probability
  • Random Variables
  • Universities

Fields of Study

  • Computer science
  • Education

Readers

  • Mathematical Modeling and Probability Theory.
  • Parallel and Distributed Computing.
  • Software Engineering

Technology Areas

  • Space