Variations and extensions of birth-and-death queuing systems Huge number of extensions on the previous models Most common is arrival rates and service rates that depend on state of the system; some lead to closed-form expressions Systems which are not birth-and-death, but can be modeled by continuous time, discrete state Markov processes can also be analyzed State representation is the key(e.g MEK 1)Variations and extensions of birth-and-death queuing systems • Huge number of extensions on the previous models • Most common is arrival rates and service rates that depend on state of the system; some lead to closed-form expressions • Systems which are not birth-and-death, but can be modeled by continuous time, discrete state Markov processes can also be analyzed • State representation is the key (e.g. M/Ek /1)