One of the first books in the timely and important area of heavy traffic analysis of controlled and uncontrolled stochastics networks, by one of the leading authors in the field. The general theory is developed, with possibly state dependent parameters, and specialized to many different cases of practical interest.
This book introduces the complex queueing theory in simple language/proofs to enable the reader to quickly pick up an overview to queueing theory without utilizing the diverse necessary mathematical tools.
IEEE Trans. Commun. 26 (1978), 320-327. [2] Harrison, J. M. Brownian models of queueing networks with heterogeneous customer populations. In Stochastic Differential Systems, Stochastic Control Theory and Applications, IMA Vol. 10, eds.
A broader view of Brownian networks. Annals of Applied Probability, 13(3), 1119–1150. Harrison, J.M. 2013. Brownian Models of Performance and Control. Cambridge University Press. Harrison, J.M., and Reiman, M.I. 1981.
... Control Optim. 34(5), 1781–1797 (1996) Kushner, H.J., Ramachandran, K.M.: Optimal and approximately optimal control policies for queues in heavy traffic. SIAM J. Control Optim. 27(6), 1293–1318 (1989) Lakshmi, C., Iyer, S.A.: Application of ...
... Systems 1 (2006) 1–76 37. Kushner, H.J. Heavy Traffic Analysis of Controlled Queueing and Communication Networks. Springer-Verlag, New york, 2001 38. Lieshout, P., Borst, S.C., and Mandjes, M.: Heavy-traffic approximations for linear ...
... Control Problems in Continuous Time, Second Edition, Springer, New York, 2001. [21] H.J. KUSHNER, Heavy Traffic Analysis of Controlled Queueing and Communication Networks, Springer, 2002. [22] H.J. KUSHNER, J. Yang, and D. Jarvis, " ...
ACM Transactions on Computer Systems 15, 253–285. Harrison, J. M. (1978) The diffusion approximation for tandem queues in heavy traffic. Adv. Appl. Prob. 10, 886–905. Harrison, J. M. (1985) Brownian Motion and Stochastic Flow Systems, ...
This edited book serves as a companion volume to the Seventh INFORMS Telecommunications Conference held in Boca Raton, Florida, March 7-10, 2004. The 18 papers in this book were carefully selected after a thorough re view process.
... Heavy Traffic Analysis of Controlled Queueing and Communication Networks . Springer Verlag , Berlin and New York , 2001 . [ 50 ] H.J. Kushner and Y.N. Chen . Optimal control of assignment of jobs to processors under heavy traffic . to ...
Hierarchical production controls for a stochastic manufacturing system with long-run average cost: Asymptotic optimality, in Stochastic Analysis, Control, Optimization and Applications, A Volume in Honor of W.H. Fleming, W.M. McEneany, ...