Differential methods applied to the solution of two-sided allocation problems
Bartley, Robert H.
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A procedure is developed which can be used to obtain the solution of a two-sided allocation problem with payoff of the form I = 5 Q K(x,y«t)dt if K is concave in x(t), i.e. K < a xx 0, and convex in y(t) for all t in the interval [a,b]„ A second degree polynomial example is explained in detail to illustrate the procedure. The computer program and a sample output for this example constitute the Appendix. Next an exponential search problem is discussed. Then in conclusion a general application of the method is outlined.
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