Bean, N.O'Reilly, M.Taylor, P.2009-11-162009-11-162009Probability in the Engineering and Informational Sciences, 2009; 23(1):121-1470269-96481469-8951http://hdl.handle.net/2440/53321We consider a Markovian stochastic fluid flow model in which the fluid level has a lower bound zero and a positive upper bound. The behavior of the process at the boundaries is modeled by parameters that are different than those in the interior and allow for modeling a range of desired behaviors at the boundaries. We illustrate this with examples. We establish formulas for several time-dependent performance measures of significance to a number of applied probability models. These results are achieved with techniques applied within the fluid flow model directly. This leads to useful physical interpretations, which are presented.enCopyright © Cambridge University Press 2009Journal article002009000510.1017/S02699648090001020002616313000092-s2.0-5614910405339450Bean, N. [0000-0002-5351-3104]