Performance analysis of a digital link with heterogeneous multislot traffic

Presents a unified model to compute various performance measures when Poissonian and non-Poissonian (renewal) multi-slot traffic streams are offered to a digital link in a (double) loss system. the authors represent the non-Poissonian arrival process by a matrix-exponential distribution, requiring only that the inter-arrival distribution has a rational Laplace transform. Several distributions are considered as the non-Poissonian traffic. The resulting model uses matrix algebraic techniques only, thus not requiring any complex and/or tedious transform techniques. The authors also incorporate various control policies in their modeling framework using acceptance functions. Through computational studies, they conclude that the second and the third moments of the non-Poissonian traffic have significant impact on various performance measures. >

[1]  J. Kaufman,et al.  Blocking in a Shared Resource Environment , 1981, IEEE Trans. Commun..

[2]  Appie van de Liefvoort,et al.  A New Approach for the Performance Analysis of a Single-Bus Multiprocessor System with General Service Times , 1993, IEEE Trans. Computers.

[3]  Mischa Schwartz,et al.  Analysis of Traffic Access Control Strategies in Integrated Service Networks , 1985, IEEE Trans. Commun..

[4]  H. Lee,et al.  Queueing Analyses of Traffic Access Control Strategies with Preemptive and Nonpreemptive Disciplines in Wideband Integrated Networks , 1991, IEEE J. Sel. Areas Commun..

[5]  J. M. Akinpelu,et al.  The overload performance of engineered networks with nonhierarchical and hierarchical routing , 1984, AT&T Bell Laboratories Technical Journal.

[6]  L.R. Lipsky,et al.  A linear algebraic approach to queueing theory , 1991, [Proceedings] 1991 Symposium on Applied Computing.

[7]  Deep Medhi,et al.  A performance evaluation model for a digital group with multislot traffic streams , 1992, CSC '92.

[8]  Pravin Varaiya,et al.  Control of multiple service, multiple resource communication networks , 1991, IEEE INFCOM '91. The conference on Computer Communications. Tenth Annual Joint Comference of the IEEE Computer and Communications Societies Proceedings.

[9]  Mischa Schwartz,et al.  Circuit Access Control Strategies in Integrated Digital Networks , 1984, INFOCOM.

[10]  Ronald W. Wolff,et al.  Poisson Arrivals See Time Averages , 1982, Oper. Res..

[11]  Lester Lipsky,et al.  A matrix-algebraic solution to two Km servers in a loop , 1986, JACM.

[12]  Jagadeesh Chandramohan An Analytic Multiservice Performance Model for a Digital Link with a Wide Class of Bandwidth Reservation Strategies , 1991, IEEE J. Sel. Areas Commun..

[13]  Lester Lipsky,et al.  Queueing Theory: A Linear Algebraic Approach , 1992 .

[14]  M. Neuts The caudal characteristic curve of queues , 1984, Advances in Applied Probability.

[15]  Lester Lipsky,et al.  Solutions of M/G/1//N-type Loops with Extensions to M/G/1 and GI/M/1 Queues , 1982, Oper. Res..

[16]  Y. Watanabe,et al.  Optimal trunk reservation for a group with multislot traffic streams , 1990, IEEE Trans. Commun..

[17]  Anatol Kuczura,et al.  The interrupted poisson process as an overflow process , 1973 .