Multiple Criteria Public Investment Decision Making By Mixed Integer Programming
Multiple Criteria Public Investment Decision Making By Mixed Integer Programming
Jeremy F Shapiro
The book Multiple Criteria Public Investment Decision Making By Mixed Integer Programming was written by author Jeremy F Shapiro Here you can read free online of Multiple Criteria Public Investment Decision Making By Mixed Integer Programming book, rate and share your impressions in comments. If you don't know what to write, just answer the question: Why is Multiple Criteria Public Investment Decision Making By Mixed Integer Programming a good or bad book?
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The group G = 2^, Y = {(x, z)|x. = or I, s . = 0, 1, 2, ... U. ) and the corresponding dual problem can be shown to be tlie linear prograiraning relaxation of (7). The k k+1 groups here have the property that G is a subgroup of G, implying directly that ^k+1 supergroup of G . The critical step in this approach to solving the IP problem (7) is that if an optimal solution to the kth dual does not yield an optimal integer solution, then k+1 k+1 k we are able to construct the supergroup G so that Y... c Y . Moreover, the construction eliminates the infeasible IP solutions (x, s) £ Y which are used in combination by the IP dual problen to produce a fractional solution to the optimality conditions. Since the set of feasible solutions to (7) is finite, the process must converge in a finite number of IP dual problem constructions to an ipdual problem yielding an optimal solution to (7) by the optimality conditions. The IP dual problem (9) is actually a large scale linear programming problem, t t T Let Y = {x, s ] be an eniraieration of Y.
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