Questions on linear programming, the optimization of a linear function subject to linear constraints.

learn more… | top users | synonyms

1
vote
1answer
230 views

Questions about weak duality theorem

Following are some corollaries regarding the weak duality theorem. Consider a constrained problem, $\min_{x \in X} f(x),$ subject to $g(x) \leq 0$ and $h(x) =0$. Its dual problem is $\sup_{u \geq ...
0
votes
0answers
63 views

Linear Programming with Matrix Game

It seems from an easy google of "learning linear programming" that a common way of learning it is to work with Matrices that represent "games" for two players. Here is one I have stumbled across. We ...
0
votes
1answer
830 views

Will the feasible region always be convex in linear programming? [duplicate]

In linear programming we find a feasible region , is this region always convex? . if a concave region is found where objective is minimization , I think then a solution exists . Advance thanks. ...
0
votes
1answer
696 views

Finding the number of basic/zero variables at an optimal corner point in linear programming

Draw a graph of the following problem $$\begin{align}4x+3y &\leq 180 \\ 7x+4y &\leq 280 \\ y &\leq 40 \\ x &\geq 0 \\ y &\geq 0\end{align}$$ a) If the problem is to ...
0
votes
2answers
565 views

GameTheory, Solve for optimal strategies by solving a system of linear equations

In a book on game theory I saw the following example of a game, a modified version of Roshambo (or Rock-paper-scissors), which is described by the following payoff-matrix: $$ \begin{array}{c|c|c} ...
0
votes
2answers
160 views

Is an unit-cube polyhedron? What about other platonic solids?

Definitions According to my linear programming course and screenshot here (Finnish), a polyhedron is such that it can be constrained by a finite amount of inequalities such that $$P=\{\bar x\in ...
0
votes
1answer
273 views

Underlying assumption in a Primal/Dual table

I just read in one of the questions answered by @MikeSpivey that the following table is provided in Sierksma's Linear and Integer Programming: Theory and Practice, Volume 1, page 144. ...