CONVOY RETARDATION INDUCED BY RANDOM EVENTS.

Abstract

Exogeneous events occurring as a Poisson process are assumed to cause stoppage in the normal operation of convoys, equipment or other systems such as traffic. The operational delay experienced by each stoppage is assumed to have an exponential distribution. By introducing appropriate state variables, a hyperbolic partial differential equation is set up; expressions for the probability that at a given time the operation has registered at least a given number of cumulative performance units (e.g. distance) and for the probability that the operation has registered a given number of cumulative performance units on or before a specified time are obtained. (Author)

Document Details

Document Type
Technical Report
Publication Date
May 01, 1970
Accession Number
AD0710224

Entities

People

  • B. D. Sivazlian

Organizations

  • University of Florida

Tags

DTIC Thesaurus Topics

  • Differential Equations
  • Equations
  • Mathematics
  • Partial Differential Equations
  • Probability
  • Retardation

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Logistics and Supply Chain Management.
  • Mathematical Modeling and Probability Theory.