A maximum entropy approach to the analysis of loss systems

Author

Paz, John M. ; Mark, Brian L. ; Kobayashi, Hisashi

Author_Institution

Dept. of Electr. Eng., Princeton Univ., NJ, USA

fYear

1995

fDate

3-7 Jul 1995

Firstpage

436

Lastpage

441

Abstract

The maximum entropy principle allows us to obtain an estimate of the state probability distribution when our knowledge about the system is only the expected value of some functions of the system state. In this paper we explore the maximum entropy approach to evaluate the state probability distribution of loss systems where the call arrival processes are unknown or not specified. We present some numerical results for a simple loss system and compare them with the well-known Erlang loss model. We also generalize the formulation to the case of multiclass traffic, which will have practical applications in the performance analysis of B-ISDN, all-optical networks, and other networks which can be modeled as loss systems

Keywords

B-ISDN; estimation theory; maximum entropy methods; optical fibre networks; probability; telecommunication traffic; B-ISDN; Erlang loss model; all-optical networks; call arrival processes; loss systems; maximum entropy approach; multiclass traffic; performance analysis; state probability distribution estimation; All-optical networks; Appropriate technology; B-ISDN; Computer networks; Entropy; Integrated circuit technology; Performance analysis; Probability distribution; State estimation; State-space methods;

fLanguage

English

Publisher

ieee

Conference_Titel

Networks, 1995. Theme: Electrotechnology 2000: Communications and Networks. [in conjunction with the] International Conference on Information Engineering., Proceedings of IEEE Singapore International

Print_ISBN

0-7803-2579-6

Type

conf

DOI

10.1109/SICON.1995.526324

Filename

526324