Computational analysis of two unit cold standby triciotomons systems

Abstract

The phase type distributions have been introduced and extensively studied by M. F. Neuts for modelling a wide variety of stochastic processes in queuing and inventory theory with a view to obtain computationally tractable solutions. Situations occur however, where the realization of an event, e.g., arrival of a customer, failure of a unit, may lead to one of two (or more) types of outcomes (males or females; priority or nonpriority; failure of type I or II, etc.). To model such situations with a view to get computationally tractable results, the definition of phase type distributions has been modified and its application has been illustrated by a two unit cold standby tricotomous system.