Confidence Intervals of Performance Measures for an M/G/1 Queueing System

References

• Ausín , M. C. , Wiper , M. P. , Lillo , R. E. ( 2004 ). Bayesian estimation for the M/G/1 queue using a phase type approximation . Journal of Statistical Planning and Inference 118 : 83 – 101 .
   Web of Science ®Google Scholar
• Bingham , N. H. , Pitts , S. M. ( 1999 ). Non-parametric estimation for the M/G/∞ queue . The Annals of the Institute of Statistical Mathematics 51 : 71 – 97 .
   Web of Science ®Google Scholar
• Chu , Y. , Ke , J. ( 2006 ). Confidence intervals of mean response time for an M/G/1 queueing system: bootstrap simulation . Applied Mathematics and Computation 180 : 255 – 263 .
   Web of Science ®Google Scholar
• Chu , Y. , Ke , J. ( 2007a ). Mean response time for a G/G/1 queueing system: simulated computation . Applied Mathematics and Computation 186 : 772 – 779 .
   Google Scholar
• Chu , Y. , Ke , J. ( 2007b ). Interval estimation of mean response time for a G/M/1 queueing system: empirical Laplace function approach . Mathematical Methods in the Applied Sciences 30 : 707 – 715 .
   Web of Science ®Google Scholar
• Gross , D. , Harris , C. M. ( 1998 ). Fundamentals of Queueing Theory. , 3rd ed. New York : Wiley .
   Google Scholar
• Hall , P. , Park , J. ( 2004 ). Nonparametric inference about service-time distribution from indirect measurement . Journal of the Royal Statistical Society B 66 : 861 – 875 .
   Google Scholar
• Hannig , J. , Iyer , H. , Patterson , P. ( 2006 ). Fiducial generalized confidence intervals . Journal of the American Statistical Association 473 : 254 – 269 .
   Google Scholar
• Ke , J. , Chu , Y. ( 2006 ). Nonparametric and simulated analysis of intensity for a queueing system . Applied Mathematics and Computation 183 : 1280 – 1291 .
   Google Scholar
• Ke , J. , Chu , Y. , Lin , J. Y. ( 2008 ). Comparing confidence limits for short-run process incapability index C pp . Physica A 387 : 3227 – 3238 .
   Google Scholar
• Tang , S. , Tsui , K. ( 2007 ). Distributional properties for the generalized p-value for the Behrens–Fisher problem . Statistics & Probability Letters 77 : 1 – 8 .
   Web of Science ®Google Scholar
• Weeranhandi , S. ( 1993 ). Generalized confidence intervals . Journal of the American Statistical Association 423 : 899 – 905 .
   Google Scholar
• Xu , X. , Ding , X. , Zhao , S. ( 2008 ). New goodness-of-fit test on fiducial empirical distribution . Computational Statistics and Data Analysis 53 ( 4 ): 1132 – 1141 .
   Google Scholar