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Standard computer implementations of Dantzig's simplex method for linear programming are based upon forming the inverse of the basic matrix and updating the inverse ...
Purpose: This study develop a novel linear energy transfer (LET) optimization method for intensity-modulated proton therapy (IMPT) with minimum monitor unit (MMU) constraint using the alternating ...
Integer linear programming can help find the answer to a variety of real-world problems. Now researchers have found a much faster way to do it. The traveling salesperson problem is one of the oldest ...
ABSTRACT: This paper presents a new dimension reduction strategy for medium and large-scale linear programming problems. The proposed method uses a subset of the original constraints and combines two ...
A new variant of the Adaptive Method (AM) of Gabasov is presented, to minimize the computation time. Unlike the original method and its some variants, we need not to compute the inverse of the basic ...
Abstract: This paper works on a heuristic algorithm with determinacy for the global optimization of continuous piecewise linear (CPWL) programming. CPWL is widely applied since it can be equivalently ...
Abstract: An efficient algorithm is proposed for finding all solutions of piecewise-linear (PWL) resistive circuits using the simplex method. By numerical examples, it is shown that the proposed ...