Mathematical programming and the control of Markov chainsFootnote†

†Communicated by Dr. A. T. Fuller. H. J. K. was supported in part by the National Science Foundation under Grant No. GK-2788, in part by the National Aeronautics and Space Administration under Grant No. NGL-40–002–015 and in part by the Air Force Office of Scientific Research under Grant No. AF-AFOSR 67–0693A. A. J. K. was supported by the National Science Foundation under Grant No. GK-2788.

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• †Communicated by Dr. A. T. Fuller. H. J. K. was supported in part by the National Science Foundation under Grant No. GK-2788, in part by the National Aeronautics and Space Administration under Grant No. NGL-40–002–015 and in part by the Air Force Office of Scientific Research under Grant No. AF-AFOSR 67–0693A. A. J. K. was supported by the National Science Foundation under Grant No. GK-2788.
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