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Stochastics and Stochastic Reports Volume 27, 1989 - Issue 4
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Original Articles

Time-average control of martingale problems: the hamilton-jacobi-bellman equation

Richard H. Stockbridg Department of Mathematics and Statistics, Case Western Reserve University, Cleveland, OH, 44106
Pages 249-260 | Received 25 May 1988, Published online: 04 Apr 2007

References

  • Cox , R. M. and Karatzas , I. 1985 . Stationary control of Browian motion in several dimensions . Adv. Appl.Prob , 17 : 531 – 561 .
  • Ethier , S. N. and Kurtz , T. G. 1986 . Markov Processes: Characterization and Convergence , Wiley .
  • Fleming , W. 1984 . Optimal control of Markov processes . Proceedings of the International Congress of Mathematicians , 1 ( 2 ) : 71 – 84 . PWN, Warsaw
  • Hajek , B. Optimal control of two interacting service stations . 21st IEEE Conference on Decision and Control . pp. 840 – 845 .
  • Kurtz , T. G. Martingale problems for controlled processes . Proceedings of the Conference on Stochastic Modelling and Filtering . December 1984 , Rome.
  • Kushner , H. J. 1987 . Optimality conditions for the average cost per unit time problem with a diffusion model . SI AM J. Control and Opt , 16 ( 2 ) : 330 – 346 .
  • Leizarowitz , A. Optimal controls for diffusions in Rd-a min-max max-min formula for the minimal cost growth rate , Preprint
  • Rubinovitch , M. 1985 . The slow server problem . J. Appl. Prob , 22 ( 2 ) : 205 – 213 .
  • Rubinovitch , M. 1985 . The slow server problem : A queue with stalling . J. Appl. Prob , 22 ( 2 ) : 879 – 892 .
  • Stroock , D. W. and Varadhan , S. R. S. 1969 . Diffusion processes with continuous coefficients I, II . Comm. Pure Appl. Math , 22 ( 2 ) : 479 – 530 .
  • Stroock , D. W. and Varadhan , S. R. S. 1979 . Multidimensional Diffusion Processes , Springer-Verlag .
  • Tarres , R. 1985 . Asymptotic evolution of a stochastic control problem . SI AM J. Control Opt , 23 ( 4 ) : 614 – 631 .
  • Wonham , W. M. 1967 . Optimal stationary control of a linear system with state-dependent noise . SI AM J. Control , 5 ( 3 ) : 486 – 500 .
  • Lin , W. and Kumar , P. R. 1984 . Optimal control of a queueing system with two heterogeneous servers . IEEE Trans. Aut. Control, AC , 29 ( 8 ) : 696 – 703 .
  • Warland , J. 1984 . A note on "Optimal control of a queueing system with two heterogeneous servers . Syst. Cont. Lett , 4 ( 8 ) : 131 – 134 .

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