Example Maximize p=x+3yp=x+3y Objective function subject to x+y≤50x+y≤50 2x+y≤602x+y≤60 x≥0,y≥0x≥0,y≥0 Constraints Feasible region (unshaded region plus its boundary) 30505060 Fundamental theorem of linear programming If an LP problem has optimal solutions, then at least one...
The Targeting phaseforms a special system of points having the shape of an n-dimensionalaxisymmetric cross. The cross moves in the n-dimensional space in such a waythat the solution of the linear programming problem is located all the time inan "-vicinity of the central point of the cross....
Non-Linear FeedbackThis paper presents a recurrent neural circuit for solving linear programming problems. The objective is to minimize a linear cost function subject to linear constraints. The proposed circuit employs non-linear feedback, in the form of unipolar comparators, to introduce ...
Gass S I 1985 On the solution of linear programming problems with free (unrestricted) variables. Comp and Opns Res 12 265-271Gass, S. I., "On the Solution of Linear‑Programming Problems with Free (Unrestricted) Variables," Computers and Operations Research, Vol. 12...
Sufficient conditions for the problem to be solvable by non-combinatoric methods are formulated. In this case the ball problem can be reduced to a special convex programming problem. Some examples of the problem with violation of the sufficient conditions are considered. In general case of the ...
The linear complementarity problem is that of finding an n x 1 vector z such that Mz+q≧0, z≧0, zT (Mz+q)=0 where M is a given n x n real matrix and q is a given n x 1 vector. In this paper the class of matrices M for which this problem is solvable by a single linear...
Answer to: Solve the linear programming problem by using the geometric solution method. Maximize z = x + 3y Subject to x + y ≤ 40 x - 2y ...
摘要: This paper presents a direct method for seeking primal feasible basic of linear programming problem without introducing artificial variable.Several examples of the algorithm are given in the last section of paper.关键词: linear programming two-stage way artificial variable initial basic feasible ...
The application of differential dynamic programming or hybrid quasilinearization technique to the solution of non-linear optimization problems in power systems has encountered the problem of computational instability, particularly in higher order systems. This paper describes the application of a continuation...
The solve function returns a solution as a structure, with each variable in the problem having a field in the structure. To obtain numerical values of expressions in the problem from this structure easily, use the evaluate function. For example, solve a linear programming problem in two variable...