Aliakbar Montazer-Haghighi

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We consider several designs from the family of up-and-down rules for the sequential allocation of dose levels to subjects in a dose-response study. We show that an up-and-down design can be improved by using more information than the most recent response. For example, the k-in-a-row rule uses up to the k most recent responses. We introduce a new design, the(More)
The transient distribution of the number in the system and the distribution of the length of a busy period for a finite birth and death process is derived by solving the system of linear equations of Laplace-Transforms and finding the inversions through the properties of tridiagonal symmetric matrices. It is proved that the dist~butions of a busy period is(More)
Abstract: In this article, a two-node single-processor Markovian tandem queueing system with task splitting and feedback is considered. Each node has an infinite buffer before it and, thus, no blocking is possible in the system. Splitting feature is added to the model considered and it makes it a novel tandem queue. The functional equation developed from(More)
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