Probabilistic Methods.

Abstract

Research was performed in several means of probabilistic methods, Primary results include representations of equilibrium Sojourn time distribution in Jackson networks, of queues. Other results develops new practical and theoretical results in computing first passage time statistics. Promising results for developing a method for inverting large sparse motives were obtained. The scientific objectives of this research program are to develop improved probabilistic and statistical methods and to demonstrate their power and relevance through application to specific problems in stochastic networks and system reliability. The seven technical papers in this document are entitled: On Failure Modeling; A Stochastic Network Processes; On Shot Noise and Reliability Modeling; Brownian Motion with Quadratic Killing and Some Implications; On Sojourn Time in Jackson Networks of Queques; On First Passage Times and Differential Equations; and Algorithms for Inverting Large Space Matrices.

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Document Details

Document Type
Technical Report
Publication Date
Apr 16, 1987
Accession Number
ADA183163

Entities

People

  • Austin J. Lemoine
  • Michael L. Wenocur

Tags

Communities of Interest

  • Energy and Power Technologies
  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Air Force
  • Applied Mathematics
  • Brownian Motion
  • Contracts
  • Data Analysis
  • Data Science
  • Differential Equations
  • Equations
  • Information Science
  • Mathematics
  • Operations Research
  • Probability
  • Queueing Theory
  • Reliability
  • Statistical Analysis
  • Statistics
  • Stochastic Processes

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Distributed Systems and Data Platform Development
  • Mathematical Modeling and Probability Theory.

Technology Areas

  • Space