This paper investigates the mathematical model of multi-server retrial queueing system with the Batch Markovian Arrival Process (BMAP), the Phase type (PH) service distribution and the finite buffer. The sufficient condition for the steady state distribution existence and the algorithm for calculating this distribution are presented. Finally, a formula to solve loss probability in the case of complete admission discipline is derived.

Abstract
 1. INTRODUCTION
 2. THE MATHEMATICAL MODEL
 3. DESCRIPTION OF THE SYSTEM BEHAVIOR IN TERMS OF CONTINUOUS TIME MARKOV CHAIN
 4. STABILITY CONDITIONS
 5. ALGORITHM FOR CALCULATION OF THE STATIONARY DISTRIBUTION AND LOSS PROBABILITY
 REFERENCES

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