Maximum Web Object Size Satisfying M/G/1 Queueing Delay Constraint in Multiple User Access Environment

This paper introduces the maximum web object size satisfying the constraint such that queueing delay in a steady state is less than the threshold users require as Quality of Service (QoS). By using the inference that mean waiting time for web server scheduling and mean queueing delay in the system become the same in the steady state, we develop the maximum web object size model. Since the packet-to-web-server arrival process exhibits an exponential distribution and web service time can be described by Hyper-exponential or Weibull distribution, the maximum object size model is formulated by using M/H2/1and M/G(Weibll)/1. Performance evaluation shows that the maximum object size for M/H2/1 is larger than that for M/G(Weibull)/1 on the average, however, it becomes nearly the same as the number of embedded objects in home page in M/H2/1 and the shape parameter in M/G(Weibull)/1 increase. These results can be applied to the determination of web object size satisfying the end-user's mean queueing delay requirement.