论文信息 - Moment relationships for queues with Poisson input

Moment relationships for queues with Poisson input

This paper presents new relationships between the higher-order moments of the FIFO and LIFO disciplines. These relationships hold over a class of queueing models that includeM/G/1 queues with exceptional first service,M/G/1 queues with server vacations, andM/G/1 priority models. The results also generalize to a class of service disciplines that includes FIFO and LIFO as special cases.

Ilias Iliadis | Steve W. Fuhrmann | I. Iliadis | S. Fuhrmann

[1] S. Brumelle. On the relation between customer and time averages in queues , 1971 .

[2] D. Gaver. A Waiting Line with Interrupted Service, Including Priorities , 1962 .

[3] Robert B. Cooper,et al. Stochastic Decompositions in the M/G/1 Queue with Generalized Vacations , 1985, Oper. Res..

[4] R. R. P. Jackson. Introduction to Queueing Theory , 1943 .

[5] M. Neuts,et al. Introduction to Queueing Theory (2nd ed.). , 1983 .

[6] William L. Maxwell,et al. Letter to the Editor - On the Generality of the Equation L = λW , 1970, Oper. Res..

[7] John Riordan,et al. Introduction to Combinatorial Analysis , 1959 .

[8] Shelby Brumelle,et al. A Generalization of L = λW to Moments of Queue Length and Waiting Times , 1972, Oper. Res..

[9] Ronald W. Wolff,et al. Poisson Arrivals See Time Averages , 1982, Oper. Res..

[10] L. Takacs. Delay distributions for one line with poisson input, general holding times, and various orders of service , 1963 .

[11] Onno Boxma,et al. Pseudo-conservation laws in cyclic-service systems , 1986 .

[12] K. T. Marshall,et al. Customer average and time average queue lengths and waiting times , 1971 .

[13] Steve W. Fuhrmann. Second moment relationships for waiting times in queueing systems with poisson input , 1991, Queueing Syst. Theory Appl..