[1]

J. Abate and W. Whitt, Transient behavior of regulated Brownian motion, I: starting at the origin, Adv. Appl. Prob., 19 (1987), to appear.

[2]

J. Abate and W. Whitt, Transient behavior of regulated Brownian motion, II: non-zero initial conditions, Adv. Appl. Prob., 19 (1987), to appear.

[3]

J. Abate and W. Whitt, Transient behavior of the M/M/1 queue via Laplace transforms, Adv. Appl. Prob., 20 (1988), to appear.

[4]

J.P.C. Blanc, The relaxation time of two queueing systems in series, Commun. Statist.-Stochastic Models 1 (1985) 1–16.

[5]

J.W. Cohen,*The Single Server Queue*, 2nd ed. (North-Holland, Amsterdam, 1982).

[6]

D.R. Cox,*Renewal Theory* (Methuen, London, 1962).

[7]

D.R. Cox and W.L. Smith,*Queues* (Methuen, London, 1961).

[8]

R.A. Doney, Letter to the Editor, J. Appl. Prob. 21 (1984) 673–674.

[9]

W. Feller,*An Introduction to Probability Theory and its Applications*, I, 3rd ed. (Wiley, New York, 1968).

[10]

D.P. Gaver, Jr., Diffusion approximations and models for certain congestion problems, J. Appl. Prob. 5 (1968) 607–623.

[11]

D.P. Gaver, Jr. and P.A. Jacobs, On inference and transient response for M/G/1 models, Naval Postgraduate School, Monterey, CA, 1986.

[12]

D.P. Heyman, An approximation for the busy period of the M/G/1 queue using a diffusion model, J. Appl. Prob. 11 (1974) 159–169.

[13]

D.L. Iglehart and W. Whitt, Multiple channel queues in heavy traffic II: sequences, networks and batches, Adv. Appl. Prob. 2 (1970) 355–369.

[14]

N.L. Johnson and S. Kotz,*Distributions In Statistics, Discrete Distributions* (Wiley, New York, 1969).

[15]

J. Keilson,*Markov Chain Models — Rarity and Exponentiality* (Springer-Verlag, New York, 1979).

[16]

W.D. Kelton and A.M. Law, The transient behavior of the M/M/S queue, with implications for steady-state simulation, Opns. Res. 33 (1985) 378–396.

[17]

I. Lee, Stationary Markovian queueing systems: an approximation for the transient expected queue length, M.S. dissertation, Department of Electrical Engineering and Computer Science, MIT, Cambridge, 1985.

[18]

I. Lee and E. Roth, Stationary Markovian queueing systems: an approximation for the transient expected queue length, unpublished paper, 1986.

[19]

M. Mori, Transient behavior of the mean waiting time and its exact forms in M/M/1 and M/D/1. J. Opns. Res. Soc. Japan 19 (1976) 14–31.

[20]

P.M. Morse, Stochastic properties of waiting lines, Opns. Res. 3 (1955) 255–261.

[21]

G.F. Newell,*Application of Queueing Theory*, 2nd ed. (Chapman and Hall, London, 1982).

[22]

A.R. Odoni and E. Roth, An empirical investigation of the transient behavior of stationary queueing systems, Opns. Res. 31 (1983) 432–455.

[23]

N.U. Prabhu,*Queues and Inventories* (Wiley, New York, 1965).

[24]

E. Roth, An investigation of the transient behavior of stationary queueing systems, Ph.D. dissertation, Massachusetts Institute of Technology, Cambridge, 1981.

[25]

C. Stone, Limit theorems for random walks, birth and death processes, and diffusion processes. Ill. J. Math. 7 (1963) 638–660.

[26]

D. Stoyan,*Comparison Methods for Queues and Other Stochastic Models*, ed. D.J. Daley (Wiley, Chichester, 1983).

[27]

L. Takacs,*Combinatorial Methods in the Theory of Stochastic Processes* (Wiley, New York, 1967).

[28]

E. Van Doom,*Stochastic Monotonicity and Queueing Applications of Birth-Death Proceses*, Lecture Notes in Statistics 4 (Springer-Verlag, New York, 1980).