Course:MATH340/Archive/2010-2011/921
Faculty of Science Department of Mathematics | |
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Course Archive 2010-2011 MATH 340 / 921 Introduction to Linear Programming | |
Instructor: | Tom Meyerovitch |
Office: | West Mall Annex, Room 107 |
Class schedule: | Tue Thu Fri<br\>14:00 - 16:00 |
Classroom: | LSK 201 |
Office hours: | Mon 14:00 - 16:00 Fri 16:00 - 17:00 |
Course pages | |
Terms
linear function
linear inequality
linear equation
standard form of LP problem
maximize
subject to
objective function of LP is
feasible solutions of LP are
optimal solution maximizing or minimizing the objective function and the value of the objective function at an optimal solution is an optimal value
infeasible LP is the one without a feasible solution, i.e. the polytope defined by the equalities and inequalities is the empty set.
unbounded LP is the one that it's corresponding polytope is unbounded.
Note: optimal values occur at the vertices of the polytope, i.e. at the extremal points or at points at infinity.
slack variables of the inequality is and the old variables are called decision variables.