Optimal control problems for heavy traffic queues

Author

Ramachandran, K.M.

Author_Institution

Dept. of Math., Univ. of South Florida, Tampa, FL, USA

fYear

1996

fDate

11-14 Apr 1996

Firstpage

80

Lastpage

83

Abstract

The author is concerned with optimal or nearly optimal routing of a queueing system under heavy traffic conditions. Optimal and nearly optimal control problems for a queueing network is examined. Various inputs and service interruptions are the controls. It is shown that the scaled controlled reflected system converges to a controlled limit reflected diffusion and the optimal policies for the limit when adapted to the physical system are nearly optimal. The martingale problem methods are utilized in the analysis

Keywords

optimal control; queueing theory; stochastic processes; telecommunication congestion control; telecommunication network routing; telecommunication traffic; controlled limit reflected diffusion; heavy traffic queues; martingale problem methods; nearly optimal control problems; optimal control problems; optimal policies; queueing network; scaled controlled reflected system; service interruptions; Communication system traffic control; Control systems; Motion control; Optimal control; Random variables; Reflection; Routing; Statistics; Traffic control; Wideband;

fLanguage

English

Publisher

ieee

Conference_Titel

Southeastcon '96. Bringing Together Education, Science and Technology., Proceedings of the IEEE

Conference_Location

Tampa, FL

Print_ISBN

0-7803-3088-9

Type

conf

DOI

10.1109/SECON.1996.510030

Filename

510030