Distribution of Total Service Time for a Fixed Observation Interval

Kenneth H. Davis; R. E. Folsom; F. Ivy Carroll; Phillip C. Cooley; Lyle M. Retzlaff; Michael F. Weeks; H. Koo; Herbert H. Seltzman; E. Pellizzari; Deborah W. McFadden; Roger D. Austin; Martin B. Lee; Judith T. Lynch; Debra M. Fleischmann; Carol Place; Stephen D. Cooper; Rick L. Williams; Lillie B. Barber; Doris J. Rouse; Ivey A. McDaniel; Charlotte O. Scheper; Paul Kizakevich; Donna M. Jewell; Marion E. Deerhake; Cora B. Parker; Eugene P. Brantly; Phyllis D. Elkins; Patricia A. Cunningham; Robert S. Truesdale; Sara C. Wheeless; Robert M. Bray; Cynthia A. Salmons; Gary B. Howe; Coleen M. Northeim; Susan K. Myers; Gordon M. Cressman; Josephine A. Mauskopf; Tim J. Gabel; Luis Arturo Crouch; Celia D. Keller; Lisa E. Packer; Pamela B. Lamb; Keith White Little; Nathaniel F. Rodman; M. Owen; James P. Hayes; Daniel L. Winfield; Deborah A. Gibbs; Janice E. Kelly-Reid; Wayne G. Winstead; Cindy O. McClintock; Terrence K. Pierson; Johnny R. Albritton; Sherry L. Black; Jeffrey B. Coburn; Joe B. Simpson; Ed E. Rickman; James T. Hanley; R. Suresh; Barbara L. Kroner; K. Heller; James C. Blake; Barri B. Burrus; Anthony C. Clayton; Donna S. Womack; S. Mascarella; Scott A. Guthrie; Sheryl C. Cates; Albert D. Bethke; Suson F. VonLehmden; Kathryn L. Dowd; Daniel J. Pratt; Lisa J. McQuay; Matthew A. Koch; Jonathan T. Ennis; Robert A. Zerbonia; Nick L. Kinsey; Susan H. Kinsey; Christopher P. Carson; J. Newsome; S. Keesling; James A. O'Rourke; Kathryn R. Batts; Craig R. Hollingsworth; Priya Suresh; Joseph Wendell Wilson; Vorapranee Wickelgren; E. Andrew Jessup; Diana S. Goss; Sheri E. Fehnel; Gayle S. Bieler; Donna P. Coleman; R. Crawford; Jeanne Ann Snodgrass; Nellie I. Hansen; Michelle Lang; Deirdre M. Mladsi; Gary A. Zarkin; Rachel A. Caspar; Carol L. Woodell; WS Connor; NC Severo

Distribution of Total Service Time for a Fixed Observation Interval

Connor, WS., & Severo, NC. (1962). Distribution of Total Service Time for a Fixed Observation Interval. Journal of the American Statistical Association, 57(298), 376-386.

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Abstract

For a queue with many servers and constant holding time, the distribution of the total service time for a fixed observation interval during a period of statistical equilibrium has been derived. The derivation, while peculiar to the special case where holding time is assumed constant, involves elementary probabilistic arguments. An application is given in which the distribution of the total service time for a fixed observation interval is used to solve a problem in plumbing design