@preamble{ "\newcommand{\noopsort}[1]{} " # "\newcommand{\printfirst}[2]{#1} " # "\newcommand{\singleletter}[1]{#1} " # "\newcommand{\switchargs}[2]{#2#1} " } @string{rrw="R.R. Weber"} @string{gw="G. Weiss"} @string{kg="Glazebrook, K.D."} @string{aap="Adv. Appl. Prob."} @string{jap="J. Appl. Prob."} @string{mor="Mathematics of Operations Research"} @string{ms="Management Science"} @string{om="Omega"} @string{or="Operations Research"} @string{naval="Naval Research Logistics Quarterly"} @string{peis="Probability in the Engineering and Informational Sciences"} @string{auto="IEEE Trans. Auto. Control"} @article{Epl86, author = {Eplett, W.J.R.}, title = {Continuous-Time Allocation Indices and Their Discrete-Time Approximation}, journal = aap, year = 1986, volume = {{\bf 18}}, pages = {724--746} } @incollection{Git74, author = {Gittins, J.C. and Jones, D.M.}, title = {A Dynamic Allocation Index for the Sequential Design of Experiments}, booktitle = {Progress in Statistics}, year = 1974, editor = {J. Gani}, publisher = {North-Holland}, address = {Amsterdam, NL}, pages = {241--266} } @article{Git77, author = {Gittins, J.C. and} # kg, title = {On {B}ayesian Models in Stochastic Scheduling}, journal = jap, year = 1977, volume = {{\bf 14}}, pages = {556--565} } @article{Git79, author = {Gittins, J.C.}, title = {Bandit Processes and Dynamic Allocation Indices}, journal = {J. R. Statist. Soc. B}, year = 1979, volume = {{\bf 41}}, pages = {148--164} } @book{Git89, author = {Gittins, J.C.}, title = {Bandit Processes and Dynamic Allocation Indices}, year = 1989, publisher = {John Wiley} } @article{Gla82d, author = kg, title = {On a Sufficient Condition for Superprocesses due to {W}hittle}, journal = jap, year = 1982, volume = {{\bf 19}}, pages = {99--110} } @article{Gla83e, author = kg, title = {Some Best Possible Results for a Discounted One Armed Bandit}, journal = {Metrica}, year = 1983, volume = {{\bf 30}}, pages = {109--115} } @article{Kat87, author = {Katehakis, M.N. and {Veinott Jr}, A.F.}, title = {The Multi-Armed Bandit Problem: Decomposition and Computation}, journal = mor, year = 1987, volume = {{\bf 12}}, pages = {262--268} } @article{Kel81, author = {Kelly, F.P.}, title = {Multi-Armed Bandits with Discount Factor Near One: The {B}ernoulli Case}, journal = {Ann. Statis.}, year = 1981, volume = {{\bf 9}}, pages = {987--1001} } @article{Man86, author = {Mandelbaum, A.}, title = {Discrete Multi-armed Bandits and Multi-Parameter Processes}, journal = {Prob. Theory Rel. Fields}, year = 1986, volume = {{\bf 71}}, pages = {129--147} } @article{Ofl89, author = {O'Flaherty}, title = {Some Results on Two-armed Bandits when Both Projects Vary}, journal = jap, year = 1989, volume = {{\bf 26}}, pages = {655--658} } @article{Tsi86, author = {Tsitsiklis, J.N.}, title = {A Lemma on the Multiarmed Bandit Problem}, journal = auto, year = 1986, volume = {{\bf 31}}, pages = {576--577} } @article{Var85, author = {Varaiya, P. and Walrand, J. and Buyukkoc, C.}, title = {Extensions of the Multiarmed bandit Problem: the Discounted Case}, journal = auto, year = 1985, volume = {{\bf 30}}, pages = {426--439} } @article{Web92c, author = rrw, title = {On the {G}ittins Index for multiarmed bandits}, journal = {Ann. Appl. Prob.}, year = 1992, volume = {{\bf 2}}, pages = {1024--33} } @article{Wei88a, author = {Weiss, G.}, title = {Branching Bandit Processes}, journal = peis, year = 1988, volume = {{\bf 2}}, pages = {269--278} } @article{Whi80, author = {Whittle, P.}, title = {Multi-Armed Bandits and the {G}ittins Index}, journal = {J. R. Statist. Soc. B}, year = 1980, volume = {{\bf 42}}, pages = {143--149} } @article{Whi81, author = {Whittle, P.}, title = {Arm Acquiring Bandits}, journal = aap, year = 1981, volume = {{\bf 9}}, pages = {284--292} } @inproceedings{Whi82, author = {Whittle, P.}, title = {Sequential Project Selection (Multi-armed Bandits) and the {G}ittins Index}, booktitle = {Deterministic and Stochastic Scheduling}, year = 1982, editor = {M.A.H. Dempster and J.K. Lenstra and A.H.G. Rinnooy Kan}, publisher = {Reidel}, pages = {333--341} } @incollection{Whi88, author = {Whittle, P.}, title = {Restless bandits: activity allocation in a changing world}, booktitle = {A celebration of Applied Probability}, year = 1988, editor = {J. Gani}, publisher = {Applied Probability Trust}, pages = {287--298}, series = {Applied Probability Special Volume 25A} } @article{Web90a, author = rrw # {and Weiss, G.}, title = {On an index policy for restless bandits}, journal = jap, year = 1990, volume = {{\bf 27}}, pages = {637--648} } @techreport{Web90b, author = rrw # {and Weiss, G.}, title = {On an index policy for restless bandits}, institution = {Georgia Institute of Technology, Industrial and Systems Engineering Report Series}, year = 1990, address = {Atlanta, Georgia 30332, U.S.A.}, number = {J-89--4} } @article{Web91b, author = rrw # {and Weiss, G.}, title = {Addendum to `{O}n an index policy for restless bandits'}, journal = jap, year = 1991, volume = {23}, pages = {429--430} }