## Mathematics, a Third Level Course: Integer programming |

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0-1 variable added constraint adding the constraints black dots Boolean algebra bound method branch and bound branching strategy C5 shaded constraints x2 continuous problem corresponding continuous problem obeys continuous solution convex hull corresponding continuous problems Ct and C2 current bound cut on x2 cutting plane method either/or constraint equation example Exercise extra constraints feasible point feasible region highest integer problem integer conditions solution integer points integer programming model integer programming problems integer solution integer variables linear programming model linear programming problem list of unsolved machine maximize z method for solving mixed integer programming number of steps obey integer conditions obey the integer optimal feasible solution optimal solution optimum original problem piecewise linear function problem obeys integer pure integer problems Questions on Section Self-Assessment Question simplex algorithm simplex method solution to continuous solution to I2 solving integer programming take integer values town travelling salesman problem x2 integer valued zero