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![]() To help layout the graphical elements, I have a problem class: class Problem. To illustrate the above problem, I constructed a toy plotting library (the full library that I am working on is too big to fit in this question). (k) There exists an objective function such that H is optimal but A is not. How can I detect the scale variables for which this would happen and fix them to some default values? (j) If the problem has a nite optimal objective value, G could be an optimal solution. Note that if the LP has many optimal solutions, then. My problem is that in some special cases, for example if I have only one point to plot, this results in an unbounded problem where the scale goes towards infinity without any constraint being active. Therefore any vertex vi achieving the maximum on the right hand side is also an optimal solution of the LP. Unbounded: The feasible polytope is unbounded in the direction of the objective function, and so no nite optimal. ![]() the objective is to nd a point in d-dimensional space that minimizes (or maximizes). I also add a negative cost to the scale variables, so that they are maximized and the scatter plot covers as much screen space as possible. Linear Programming Reading: Chapter 4 in the 4M’s. I do that by declaring scale and translation variables of the ExpressionsBasedModel and transform the scatter plot coordinates to the screen using those variables and then construct linear constraints that the transformed coordinates should project inside the screen. Specifically, I want to solve for scale and translation so that the coordinates of a scatter plot fill up the screen space. I am using the ojAlgo linear/quadratic solver via ExpressionsBasedModel to solve the layout of graphical elements in a plotting library so that they fit neatly into the screen boundaries.
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