Abstract
The modeling of a broad class of probability density functions using bond graphs is discussed. The specific class of density functions considered is referred to as phase distribution. Extensive use of these distributions has been made in the area of queuing theory and the modeling of communication systems. Recently, these distributions have been finding wider use in the modeling of reliability, maintainability and availability characteristics of many complex systems. On the other hand, bond graphs have been extremely useful as a deterministic modeling tool for the concurrent, multidisciplinary conceptual design of complex systems. By introducing this extension of bond graph theory it is hoped that a more concerted effort will begin to consider the stochastic nature of system performance during conceptual design.
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