Transient Analysis of an M/M/1 Queue Subject to Catastrophes and Server Failures

ABSTRACT

A transient solution for the system size in the M/M/1 queueing system with the possibility of catastrophes and server failures is analyzed. The steady state probabilities of the system size are also derived. Some important performance measures are discussed. Finally, the reliability and availability of the system are obtained.

Key Words:

• Catastrophes
• Server failure
• Steady state distribution

Mathematics Subject Classification:

• Primary 60K25
• 90B22
• Secondary 60G10
• 60G17