The problem is now in the standard form for linear programming problems: an objective function that is to be maximized, subject to a number of constraints. We go on to examine solution methods.

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Operations Research, Vol. 33, No. 4 (Jul. - Aug., 1985), pp. 803-819 (17 pages) We present methods that are useful in solving some large scale hierarchical planning models involving 0-1 variables.

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Michael H. Veatch, Approximate Linear Programming for Average Cost MDPs, Mathematics of Operations Research, Vol. 38, No. 3 (August 2013), pp. 535-544 ...