Accession Number:

ADA025729

Title:

Some Stochastic Bounds for Dams and Queues.

Descriptive Note:

Technical rept.,

Corporate Author:

STANFORD UNIV CALIF DEPT OF OPERATIONS RESEARCH

Personal Author(s):

Report Date:

1976-02-01

Pagination or Media Count:

26.0

Abstract:

It is the purpose of this paper to derive bounds for U and V. These are of interest primarily because of the role played by U in the theories of storage, queueing and collective risk. In each case the literature emphasizes models where Z is compound Poisson, but the generalization to infinite jump rates causes little difficulty and is pleasing from a theoretical standpoint. In storage theory, one interprets Z as the input process to a storage system or dam and c as the rate at which material is released from the sytem when its content is positive. In collective risk theory, one interprets Z as the cumulative claims against an insurance company and c as the rate at which premium payments are received from policy holders.

Subject Categories:

  • Statistics and Probability
  • Operations Research

Distribution Statement:

APPROVED FOR PUBLIC RELEASE