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

PDF Url : ADA183163

Report Date : 16 Apr 1987

Pagination or Media Count : 10

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