Time-Dependent Behaviour of an Alternating Service Queue

REFERENCES

• Angus , J.E. Classroom note: The inspection paradox inequality . SIAM Review 1997 , 39 ( 1 ), 95 – 97 .
   Web of Science ®Google Scholar
• Asmussen , S. Applied Probability and Queues ; Springer-Verlag : New York , 2003 .
   Google Scholar
• Blanc , J.P.C. Numerical transform inversion for autocorrelations of waiting times . In Operations Research Proceedings 2004 ; Fleuren , H. , den Hertog , D. , Kort , P. , Eds.; Springer : Tilburg , September 1–3 , 2004 , pp. 297 – 304 .
   Google Scholar
• Blomqvist , N. The covariance function of the M/G/1 queuing system . Skandinavisk Aktuarietidskrift 1967 , 50 , 157 – 174 .
   Google Scholar
• Blomqvist , N. Estimation of waiting time parameters in the GI/G/1 queueing system, part I: General results . Skandinavisk Aktuarietidskrift 1968 , 51 , 178 – 197 .
   Google Scholar
• Blomqvist , N. Estimation of waiting time parameters in the GI/G/1 queueing system, part II: Heavy traffic approximations . Skandinavisk Aktuarietidskrift 1969 , 52 , 125 – 136 .
   Google Scholar
• Cohen , J.W. The Single Server Queue ; North-Holland Publishing Co. : Amsterdam , 1982 .
   Google Scholar
• Daley , D.J. The serial correlation coefficients of waiting times in a stationary single server queue . Journal of the Australian Mathematical Society 1968 , 8 , 683 – 699 .
   Google Scholar
• Hassini , E. ; Vickson , R.G. A two-carousel storage location problem . Computers & Operations Research 2003 , 30 , 527 – 539 .
   Web of Science ®Google Scholar
• Koenigsberg , E. Analysis of the efficiency of carousel and tote-stacker performance . In Proceedings of the 7th International Conference on Automation in Warehousing ; White , J. , Ed.; Springer : San Francisco , California , October 1986 , pp. 173 – 183 .
   Google Scholar
• Noble , B. Methods Based on the Wiener-Hopf Technique for the Solution of Partial Differential Equations ; volume 7 of International Series of Monographs on Pure and Applied Mathematics; Pergamon Press : New York , 1958.
   Google Scholar
• Pakes , A.G. The serial correlation coefficients of waiting times in the stationary GI/M/1 queue . The Annals of Mathematical Statistics 1971 , 42 ( 5 ), 1727 – 1734 .
   Google Scholar
• Park , B.C. ; Park , J.Y. ; Foley , R.D. Carousel system performance . Journal of Applied Probability 2003 , 40 ( 3 ), 602 – 612 .
   Web of Science ®Google Scholar
• Vlasiou , M. A non-increasing Lindley-type equation . (Technical Report 2005-015) , Eurandom , Eindhoven , The Netherlands , 2005 . Available at www.eurandom.nl .
   Google Scholar
• Vlasiou , M. ; Adan , I.J.B.F. An alternating service problem . Probability in the Engineering and Informational Sciences 2005 , 19 ( 4 ), 409 – 426 .
   Web of Science ®Google Scholar
• Vlasiou , M. ; Adan , I.J.B.F. Exact solution to a Lindley-type equation on a bounded support . Operations Research Letters 2007 , 35 ( 1 ), 105 – 113 .
   Web of Science ®Google Scholar
• Vlasiou , M. ; Adan , I.J.B.F. ; Wessels , J. A Lindley-type equation arising from a carousel problem . Journal of Applied Probability 2004 , 41 ( 4 ), 1171 – 1181 .
   Web of Science ®Google Scholar