The Second Moments of the Absorption Times in the Markov Renewal Branching Process.

Abstract

Explicit formulas are derived for the second moments of the absorption time matrices in the Markov Renewal Branching process. These formulas may easily be computationally implemented and are useful in the iterative computation of the semi-Markov matrices, which give the distributions of the duration and of the number of customers served in a busy period of a great variety of complex queueing models.

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Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1977
Accession Number
ADA045942

Entities

People

  • Marcel F. Neuts

Organizations

  • University of Delaware

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Absorption
  • Air Force
  • Algorithms
  • Computations
  • Computer Science
  • Computers
  • Data Science
  • Equations
  • Information Science
  • Interdisciplinary Science
  • Probability
  • Probability Distributions
  • Queueing Theory
  • Security
  • Standards
  • Statistics
  • Two Dimensional

Fields of Study

  • Mathematics

Readers

  • Mathematical Modeling and Probability Theory.