Multistate Markov Models for

This paper deals with a system that can be described by a homogeneous continuous-time discrete-state Markov process. The case when transition rates or each unit de- pend on the current state of the system is considered. The condi- tion upon which the transition-rate matrix of the system has the form of a modified Kronecker sum of transition-rate matrices of its units is investigated. An algorithm for determining the transition-rate matrix of the system based on the Kronecker algebra is introduced. Its use is particularly efficient during con- struction of machines when reliability is evaluated for several systems with the same structure but different transition rates.