A BMAP/SM/1 queueing system with Markovian arrival input of disasters is considered. After a disaster arrival all customers leave the system instantaneously and a server is recovered during a random period of time. We consider both variants of accumulating and losing the customers arriving during a recovery period. Numerically stable algorithm for calculation of the stationary state distribution of embedded Markov chain is presented.

Abstract
 1. ITRODUCTION
 2. MODEL
 3. EMEDDED MARKOV CHAIN
 4. STABLE ALGRITHM
 REFERENCES

• Che-Soong Kim(Department of Industrial Engineering, Sangji University)
• Young-Jin Oh(Department of Industrial Engineering, Sangji University)
• Seog-Ha Park(Department of Industrial Engineering, Sangji University)