Some Stochastic Bounds for Dams and Queues.
STANFORD UNIV CALIF DEPT OF OPERATIONS RESEARCH
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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.
- Statistics and Probability
- Operations Research