Some Stochastic Bounds for Dams and Queues.
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.
Document Details
- Document Type
- Technical Report
- Publication Date
- Feb 01, 1976
- Accession Number
- ADA025729
Entities
People
- J. Michael Harrison
Organizations
- Stanford University