Title :
Optimal control problems for heavy traffic queues
Author :
Ramachandran, K.M.
Author_Institution :
Dept. of Math., Univ. of South Florida, Tampa, FL, USA
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;
Conference_Titel :
Southeastcon '96. Bringing Together Education, Science and Technology., Proceedings of the IEEE
Conference_Location :
Tampa, FL
Print_ISBN :
0-7803-3088-9
DOI :
10.1109/SECON.1996.510030
