References
- Ayhan, H. and F. Baccelli, 'Expansions for Joint Laplace Transform of Stationary Waiting Times in (Max, +)-Linear Systems with Poisson Input,' Queueing Systems, Vol.37, No.3(2001), pp.291-328 https://doi.org/10.1023/A:1011008704491
- Ayhanm, H. and D.W. Seo, 'Laplace Transform and Moments of Waiting Times in Poisson Driven (Max,+)- Linear Systems,' Queueing Systems, Vol.37, No.4(2001), pp. 405-438 https://doi.org/10.1023/A:1010845618420
- Ayhan H. and D.W. Seo, 'Characteristics of Transient and Stationary Waiting Times in Poisson Driven (Max, +) Linear Systems,' Proceedings of the IFAC Symposium on System Structure and Control, (2001), pp. 227-234
- Ayhan H. and DW. Seo, 'Tail Probability of Transient and Stationary Waiting Times in (Max,+)-Linear Systems,' IEEE Transactions on Automatic Control, Vol.47, No.1 (2002), pp.151-157 https://doi.org/10.1109/9.981736
- Baccelli, F., G. Cohen, G.J. Olsder, and J-P. Quadrat, Synchronization and Linearity : An Algebra for Discrete Event Systems, John Wiley & Sons, 1992
- Baccelli, F., S. Hasenfuss and V. Schmidt, 'Transient and Stationary Waiting Times in (Max, +) Linear Systems with Poisson Input,' Queueing Systems, VoI.26(1997), pp.301-342 https://doi.org/10.1023/A:1019141510202
- Baccelli, F., S. Hasenfuss and V. Schmidt, 'Expansions for Steady State Characteristics in (Max, + ) Linear Systems,' Stochastic Models, Vol.14(1998), pp.1-24 https://doi.org/10.1080/15326349808807458
- Baccelli, F. and V. Schmidt, 'Taylor Series Expansions for Poisson Driven (Max, +) Linear Systems,' Annals of Applied Probability, Vol. 6, No.1(1996), pp.138-185 https://doi.org/10.1214/aoap/1034968069
- Brandwajn, A. and Y.-L.L. Jow, 'An Approximation method for Tandem Queues with Blocking,' Operations Research, Vol. 36, No.1(1988), pp.73-83 https://doi.org/10.1287/opre.36.1.73
- Grassmann, W.K. and S. Drekic, 'An Analytical Solution for a Tandem Queue with Blocking,' Queueing Systems, Vol.36(2000), pp.221-235 https://doi.org/10.1023/A:1019139405059
- Gross, D. and C.M. Harris, Fundamentals of Queueing Theory. John Wiley & Sons, New York, 2nd Edition, 1985
- Hasenfuss, S., Performance Analysis of (Max, + )-Linear Systems via Taylor Series Expansions, PhD thesis, University of Ulm, 1998
- Labetoulle, J. and G. Pujolle, 'A Study of Queueing Networks with Deterministic Service and Application to Computer Networks,' Acta Information, Vol.7(1976), pp. 183-195 https://doi.org/10.1007/BF00265770
- Lee, Y. -J and P. Zipkin, 'Tandem Queues with Planned Inventories,' Operations Research, Vol.40, No.5(1992), pp.936-947 https://doi.org/10.1287/opre.40.5.936
- Nakade, K., 'New Bounds for Expected Cycle Times in Tandem Queues with Blocking,' European Journal of Operations Research, Vol.125(2000), pp.84-92 https://doi.org/10.1016/S0377-2217(99)00180-0
- Onvural, R.O. and H.G. Perros, 'On Equivalencies of Blocking Mechanisms in Queueing Networks with Blocking,' Operations Research Letters, Vol.5, No.6 (1986), pp.293-297 https://doi.org/10.1016/0167-6377(86)90067-2
- Seo, D.-W., Performance Analysis of Queueing Networks via Taylor Series Expansions, PhD thesis, Georgia Institute of Technology, 2002
- Wan, Y.-W. and RW. Wolff, 'Bounds for Different Arrangements of Tandem Queues with Nonoverlapping Service Times,' Management Science, Vol.39, No.9(1993), pp.1173-1178 https://doi.org/10.1287/mnsc.39.9.1173
- Whitt, W., 'The Best Order for Queues in Series,' Management Science, Vol.31, No. 4(1985), pp.475-487 https://doi.org/10.1287/mnsc.31.4.475