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Level crossing methods

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References

  1. Azoury, K. and Brill, P.H. (1986). “An Application of the System-Point Method to Inventory Models under Continuous Review.” Jl. Applied Probability, 23, 778–789.

    Google Scholar 

  2. Brill, P.H. (1975). “System Point Theory in Exponential Queues,” Ph.D. Dissertation, University of Toronto.

    Google Scholar 

  3. Brill, P.H. (1976). “Embedded Level Crossing Processes in Dams and Queues.” WP #76-022, Department of Industrial Engineering, University of Toronto.

    Google Scholar 

  4. Brill, P.H. (1979). “An Embedded Level Crossing Technique for Dams and Queues.” Jl. Applied Probability, 16, 174–186.

    Google Scholar 

  5. Brill, P.H. (1991). “Estimation of Stationary Distributions in Storage Processes Using Level Crossing Theory.” Proc. Statist. Computing Section, Amer. Statist. Assn., 172–177.

    Google Scholar 

  6. Brill, P.H. and Posner, M.J.M. (1974). “On the Equilibrium Waiting Time Distribution for a Class of Exponential Queues.” WP #74-012, Department of Industrial Engineering, University of Toronto.

    Google Scholar 

  7. Brill, P.H. and Posner, M.J.M. (1975). “Level Crossings in Point Processes Applied to Queues.” WP #75-009, Department of Industrial Engineering, University of Toronto.

    Google Scholar 

  8. Brill, P.H. and Posner, M.J.M. (1977). “Level Crossings in Point Processes Applied to Queues: Single Server Case.” Operations Research, 25, 662–673.

    Google Scholar 

  9. Brill, P.H. and Posner, M.J.M. (1981). “The System Point Method in Exponential Queues: A Level Crossing Approach.” Mathematics Operations Research, 6, 31–49.

    Google Scholar 

  10. Cohen, J.W. (1976). On Regenerative Processes in Queueing Theory. Lecture Notes in Economics and Mathematical Systems 121, Springer-Verlag. New York.

    Google Scholar 

  11. Cohen, J.W. (1977). “On Up and Down Crossings.” Jl. Applied Probability, 14, 405–410.

    Google Scholar 

  12. Miyazawa, M. (1994). “Rate Conservation Laws: A Survey.” Queueing Systems: Theory & Applics., 18, 1–58.

    Google Scholar 

  13. Ross, S. (1985). Introduction to Probability Models, 4th edition, Academic Press, Inc.

    Google Scholar 

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© 2001 Kluwer Academic Publishers

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Brill, P.H. (2001). Level crossing methods . In: Gass, S.I., Harris, C.M. (eds) Encyclopedia of Operations Research and Management Science. Springer, New York, NY. https://doi.org/10.1007/1-4020-0611-X_529

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  • DOI: https://doi.org/10.1007/1-4020-0611-X_529

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  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-0-7923-7827-3

  • Online ISBN: 978-1-4020-0611-1

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