Accession Number:

ADA183163

Title:

Probabilistic Methods.

Descriptive Note:

Final rept.,

Corporate Author:

FORD AEROSPACE AND COMMUNICATIONS CORP PALO ALTO CA WESTERN DEVELOPMENT LABS DIV

Personal Author(s):

• Lemoine,Austin J.
• Wenocur,Michael L.

Report Date:

1987-04-16

Pagination or Media Count:

10.0

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.

Descriptors:

• *PROBABILITY
• *MATHEMATICAL MODELS
• ALGORITHMS
• DIFFERENTIAL EQUATIONS
• METHODOLOGY
• STATISTICAL PROCESSES
• QUEUEING THEORY
• EQUILIBRIUM(GENERAL)
• NETWORKS
• STOCHASTIC PROCESSES
• RELIABILITY
• BROWNIAN MOTION
• FAILURE
• MODELS
• SHOT NOISE
• DISTRIBUTION
• TIME
• STATISTICS

Subject Categories:

• Operations Research

Distribution Statement:

APPROVED FOR PUBLIC RELEASE