Markov Regenerative Models of WebServers for Their User-Perceived Availability and Bottlenecks

The Internet world is moving toward a scenario where users and applications have very diverse service expectation, making the current best-effort model inadequate and limiting. To be able to design high-availability service systems, it is essential to consider not only the actual failure and recovery behavior of the service infrastructure, but also the behavioral aspects of its user and their subjective perceptions and reactions in the wake of failure events. In this paper, we propose to use Markov regenerative process (MRGP) models to study the availability of Internet-based services perceived by a Web user on two different online service scenarios: (1) single-user-single-host and (2) single-user-multiple-host. The MRGP models capture the interactions between the service facility and the user. We also detect its parameter bottlenecks by applying the formal sensitivity analysis technique. The trends of the users' perceived unavailability are analyzed with the changed different parameter values, and the necessity of the sophisticated MRGP modeling is evidenced by the comparisons with the corresponding continuous time Markov chain (CTMC) models, which show that the popular convenient CTMC models tend to overestimate user-perceived service unavailability. Finally, controlled experiments are carried out on a real Web service to demonstrate the proposed approach.