Accession Number : AD0664678

Title :   SOME LADDER PROCESSES IN CONTINUOUS TIME WITH APPLICATIONS TO QUEUES.

Descriptive Note : Thesis,

Corporate Author : CORNELL UNIV ITHACA N Y DEPT OF OPERATIONS RESEARCH

Personal Author(s) : Worthington,Frank M.

Report Date : NOV 1967

Pagination or Media Count : 84

Abstract : Ladder processes are constructed for a basic stochastic process in continuous time with discrete state space. These processes are used to obtain limit theorems for the supremum and infimum functionals defined on this basic process. Application of these results to queues with Poisson arrivals and general Erlangian type service time density are then discussed in the case where no steady state exists, that is, where the traffic intensity is greater than or equal to one. (Author)

Descriptors :   (*QUEUEING THEORY, STOCHASTIC PROCESSES), RANDOM VARIABLES, REPLACEMENT THEORY, STATISTICAL PROCESSES, DISTRIBUTION FUNCTIONS, MATHEMATICAL MODELS, SEQUENCES(MATHEMATICS), PROBABILITY, OPERATIONS RESEARCH, THEOREMS, THESES

Subject Categories : Operations Research

Distribution Statement : APPROVED FOR PUBLIC RELEASE