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R. L. Cruz, iA Calculus for Network Delay, Part I: Network Elements in Isola tionj, IEEE Trans. Inf. Theory , 37, 1, pp. 114-131, Jan. 1991.

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Exponential Bounds with Applications to Call Admission - Liu, Nain, Towsley (1996)   (7 citations)  (Correct)

....[56] The problem with these methods is that there is no way of knowing how accurate they are in any one application. This has motivated interest in the development of performance bounds for general arrival processes. This is exemplied by the works of Asmussen and Rolski [6] Chang [10] Cruz [16, 17], DuOEeld [20] Kurose [44] and Yaron and Sidi [62] With the exception of the work of Asmussen and DuOEeld these papers make very few assumptions regarding the arrival processes and the resultant bounds are very loose. Previous work most closely related to ours include those of Asmussen and ....

R. L. Cruz, iA Calculus for Network Delay, Part I: Network Elements in Isola tionj, IEEE Trans. Inf. Theory , 37, 1, pp. 114-131, Jan. 1991.


Bounds on the Tail Distributions of Markov-Modulated.. - Liu, Nain, Towsley (1995)   (Correct)

....liu sophia.inria.fr y e mail address: nain sophia.inria.fr z e mail address: towsley gonzo.cs.umass.edu. This author was supported in part by NSF under grant NCR 9116183 and such that P (X n;k x) b exp( Gamma x) for all x 0, k 2 K, n 0. There is now a substantial body of work ([1, 3, 6, 9, 10, 13, 15, 14, 16, 19, 20, 23, 24] among others) on the problem of deriving exact, approximate or asymptotic bounds for the tail distribution of the workload, queue length, and delay in a queue in isolation. Bounds of this type have proved to be helpful for analyzing ATM multiplexers fed by dioeerent classes of traOEc such as ....

R. L. Cruz, iA Calculus for Network Delay, Part I: Network Elements in Isolationj, IEEE Trans. Inf. Theory , Vol. 37, No. 1, pp. 114 131, Jan. 1991.


Exponential Bounds with Applications to Call Admission - Liu, Nain, Towsley (1997)   (7 citations)  (Correct)

....[31] The problem with these methods is that there is no way of knowing how accurate they are in any one application. This has motivated interest in the development of performance bounds for general arrival processes. This is exempli ed by the works of Asmussen and Rolski [7] Chang [12] Cruz [18, 19], DuOEeld [22] Kurose [46] and Yaron and Sidi [62] With the exception of the work of Asmussen and DuOEeld these papers make very few assumptions regarding the arrival processes and the resulting bounds are very loose. Previous work most closely related to ours include those of Asmussen and ....

R. L. Cruz, iA Calculus for Network Delay, Part I: Network Elements in Isolationj, IEEE Trans. Inf. Theory , 37, 1, pp. 114-131, Jan. 1991.

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