References
- Asmussen , S. 1987 . “ Applied Probability and Queues ” . New York : Wiley .
- Billingsley , P. 1968 . “ Convergence of Probability Measures ” . New York : Wiley .
- Billingsley , P. 1986 . “ Probability and Measure ” . New York : Wiley .
- Borovkov , A. A. and Foss , S. G. 1992 . Stochastically recursive sequences and their generalizations . Siberian Adv. Math. , 2 : 16 – 81 .
- Brillinger , D. R. 1973 . Estimation of the mean of a stationary time series by sampling . J. Appl. Probab. , 10 : 419 – 431 .
- Conway , R. W. 1963 . Some tactical problems in digital simulation . Management Sci. , 10 : 47 – 61 .
- Crane , M. A. and Iglehart , D. L. 1975 . Simulating stable stochastic systems: III, regenerative processes and discrete event simulation . Oper. Res. , 23 : 33 – 45 .
- Durrett , R. 1991 . “ Probability: Theory and Examples ” . Pacific Grove, CA : Wadsworth and Brooks/Cole .
- Ethier , S. N. and Kurtz , T. G. 1986 . “ Markov Processes: Characterization and Convergence ” . New York : Wiley .
- Fox , B. L. and Glynn , P. W. 1987 . Estimating time averages via randomly-spaced observations . SIAM J. Appl. Math. , 47 : 186 – 200 .
- Fox , B. L. , Goldsman , D. and Swain , J. J. 1991 . Spaced batch means . Oper. Res. Lett. , 10 : 255 – 263 .
- Glynn , P. W. 1982 . “ Simulation output analysis for general state space Markov chains, Ph.D. Dissertation, Department of Operations Research, Stanford University ” . Stanford, CA
- Glynn , P. W. 1989 . A GSMP formalism for discrete event systems . Proc. IEEE , 77 : 14 – 23 .
- Glynn , P. W. 1994 . Some topics in regenerative steady-state simulation . Acta Appl. Math. , 34 : 225 – 236 .
- Glynn , P. W. and Iglehart , D. L. 1988 . Simulation methods for queues: An overview . Queueing Systems Theory Appl. , 3 : 221 – 256 .
- Glynn , P. W. and Iglehart , D. L. 1990 . Simulation output analysis using standardized time series . Math. Oper. Res. , 15 : 1 – 16 .
- Glynn , P. W. and Iglehart , D. L. 1993 . Conditions for the applicability of the regenerative method . Management Sci. , 39 : 1108 – 1111 .
- Glynn , P. W. and Meyn , S. P. 1996 . A Lyapunov bound for solutions of Poisson's equation . Ann. Probab. , 24 : 916 – 931 .
- Glynn , P. W. and Whitt , W. 1988 . Ordinary CLT and WLLN versions of L = λW . Math. Oper. Res. , 13 : 693 – 710 .
- Gnedenko , B. V. and Kovalenko , I. N. 1974 . “ Introduction to Queueing Theory, German edn ” . Berlin : Akademie-Verlag .
- Goldsman , D. , Meketon , M. S. and Shruben , L. W. 1990 . Properties of standardized time series weighted area variance estimators . Management Sci , 36 : 602 – 612 .
- Haas , P. J. 1985 . “ Recurrence and regeneration in non-Markovian simulations, Ph.D. Dissertation, Department of Operations Research, Stanford University ” . Stanford, CA
- Haas , P. J. and Shedler , G. S. 1985 . Regenerative simulation methods for local area computer networks . IBM J. Res. Develop. , 29 : 194 – 205 .
- Haas , P. J. and Shedler , G. S. 1987 . Recurrence and regeneration in non-Markovian networks of queues . Comm. Statist. Stochastic Models , 3 : 29 – 52 .
- Haas , P. J. and Shedler , G. S. 1987 . Regenerative generalized semi-Markov processes . Comm. Statist. Stochastic Models , 3 : 409 – 438 .
- Haas , P. J. and Shedler , G. S. 1987 . Stochastic Petri nets with timed and immediate transitions . Comm. Statist. Stochastic Models , 5 : 563 – 600 .
- Haas , P. J. and Shedler , G. S. 1992 . Simulation methods for manufacturing systems using stochastic Petri nets . IBM Research Report RJ 8672, IBM Almaden Research Center,San Jose, CA ,
- Iglehart , D. L. and Shedler , G. S. 1983 . Simulation of non-Markovian systems . IBM J. Res. Develop. , 27 : 472 – 480 .
- Kaspi , H. and Mandelbaum , A. 1992 . “ Regenerative closed queueing networks ” . In Stochastics Stochastics Rep 239 – 258 .
- König , D. , Matthes , K. and Nawrotzki , K. 1967 . “ Verallgemeinerungen der Erlangschen und Engset-schen Formeln ” . Berlin : Akademie-Verlag .
- König , D. , Matthes , K. and Nawrotzki , K. 1974 . “ Unempfindlichkeitseigenshaften von Bedienungs-prozessen ” . Appendix to [20]
- Matthes , K. Zur Theorie der Bedienungsprozessen . In Trans. 3rd Prague Conf. Inform. Theory Statist.Decision Functions . pp. 39 – 42 .
- Meyn , S. 1995 . “ Personal communication ” .
- Meyn , S. P. and Tweedie , R. L. 1993 . “ Markov Chains and Stochastic Stability ” . London : Springer-Verlag .
- Meyn , S. P. and Tweedie , R. L. 1993 . Stability of Markov processes II: Continuous time processes and sampled chains . Adv. in Appl. Probab. , 25 : 487 – 517 .
- Meyn , S. P. and Tweedie , R. L. 1993 . Stability of Markov processes III: Foster-Lyapunov criteria for continuous time processes . Adv. in Appl. Probab. , 25 : 518 – 548 .
- Muñoz , D. 1991 . “ Multivariate standardized time series in the analysis of simulation output ” . In Tech. Rep 68, Department of Operations Research, Stanford University Stanford, CA
- Muñoz , D. and Schmeiser , B. 1982 . Batch size effects in the analysis of simulation output . Oper. Res. , 30 : 556 – 568 .
- Shedler , G. S. “ Regeneration and Networks of Queues ” .
- Shedler , G. S. 1993 . “ Regenerative Stochastic Simulation ” . New York : Academic Press .
- Shruben , L. W. 1983 . Confidence interval estimation using standardized time series . Oper. Res. , 1 : 1090 – 1108 .
- Sigman , K. 1990 . Correction: Notes on the stability of closed queueing systems . J. Appl. Probab. , 27 : 735
- Whitt , W. 1980 . Continuity of generalized semi-Markov processes . Math. Oper. Res. , 5 : 494 – 501 .