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Paparrizos, K. (1993). An exterior point simplex algorithm for (general) linear programming problems. Annals of Operations Research , 46–47 (2), 497–508.PAPARRIZOS, K. (2003). An exterior point simplex algorithm for (general) linear programming problems. Annals of Operations Research 32,...
B. Orlin, "Inverse optimization, Part I: linear program- ming and general problem," 1998. Working paper, MIT Loan School of Management, Cambridge.Ahuja R K and Orlin J B, Inverse Optimization, Part1: Linear Programming and General Prob- lem, Working Paper, Sloan School of Management, MIT...
The purpose of this paper is to present the current status of general purpose linear programming algorithms. After a mathematical statement of the general linear programming problem, the following topics are discussed: 1. Simplex Methods2. Primal-Dual Methods3. Generalized Inverse Applications4. Other...
What You Should Know About Linear Programming What the components of a problem are. How to formulate a problem. What the assumptions are underlying an LP. How to find a solution to a 2-dimensional problem graphically. Possible solutions. How to solve an LP with the Excel add-in....
linear complementarity problemsufficient matrixP_*matrixinterior point methodlong-step methodLinear Complementarity Problems (LCPs) belong to the class of NP-complete problems. Therefore we cannot expect a polynomial time solution method for LCPs without requiring some special property of the coefficient ...
A constraint shifting homotopy method for general nonlinear programming. Yang L,Yu B,Xu Q. Optim . 2012A constraint shifting homotopy method for general non-linear programming[J] . Li Yang,Bo Yu,Qing Xu.Optimization . 2014 (4)L. Yang, B. Yu and Q. Xu, A constraint shifting homotopy ...
If the optimal solution to a linear programming (LP) model exists, then it lies in the extreme point set or bounds of the feasible region of the LP model. In fact, the optimal solution to the LP problem is the solution to a linear equations system (LES), whose equations are the ...
LARGE-SCALE LINEAR PROGRAMMING USING THE CHOLESKY FACTORIZATION. A variation of the revised simplex method is proposed for solving the standard linear programming problem. The method is derived from an algorithm recently... Saunders,M.A - Stanford University 被引量: 153发表: 1972年 Global ...
When used as a "finite element to linear algebra translator", MFEM can take a problem described in terms of finite element-type objects, and produce the corresponding linear algebra vectors and fully or partially assembled operators, e.g. in the form of global sparse matrices or matrix-free ...