Abstract
By introducing a waiting queue, an original performance evaluation model for a single server based on the finite capacity M/M/1/N-PS model was constructed. For this model, two exact expressions were derived for both users average service response time and average waiting time through solving the differential equation of system. Then the steady-state mean waiting time threshold and mean service time threshold were presented. Also, to provide a scientific quantitative reference for the design of the server, an evaluation method relative to users was proposed to estimate the performance of a server. This evaluation method is based on the principle that server service quality should be evaluated by the users. At last, users average waiting time and mean response time were calculated in this evaluation model with the number of concurrent users N=1 and N→∞, respectively. These results were then compared with those of the typical M/M/1 queuing model and the infinite capacity M/M/1-PS model, respectively.
Abstract
By introducing a waiting queue, an original performance evaluation model for a single server based on the finite capacity M/M/1/N-PS model was constructed. For this model, two exact expressions were derived for both users average service response time and average waiting time through solving the differential equation of system. Then the steady-state mean waiting time threshold and mean service time threshold were presented. Also, to provide a scientific quantitative reference for the design of the server, an evaluation method relative to users was proposed to estimate the performance of a server. This evaluation method is based on the principle that server service quality should be evaluated by the users. At last, users average waiting time and mean response time were calculated in this evaluation model with the number of concurrent users N=1 and N→∞, respectively. These results were then compared with those of the typical M/M/1 queuing model and the infinite capacity M/M/1-PS model, respectively.