## Introduction to Mathematical ProgrammingThis text presents current and classical mathematical programming techniques at an introductory level. It provides case problems to stimulate interest and is aimed for undergraduate courses in management science, operations and decision research, and applied mathematics. |

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activities all-integer allocation area of feasible assignment problem assignment schedule basic variables contribution coefficients determine deviational variables dual decision variables dual problem dynamic programming equal feasible solutions goal constraints goal programming problem Gomory constraint graphic method Hungarian method illustrate inequalities initial solution integer programming problem isocost linear programming problem LP problem machines management science mathematical programming matrix maximization problem mini-computer minimization mixed integer programming negative nonlinear programming objective function obtained Operations Research optimal assignment optimal solution optimal values penalty index PERT PERT/Cost pivot column pivot element pivot row plant presented in Sec presented in Table primal problem Prob problem formulation problem presented problem situation production profit resulting right-hand-side values selected sensitivity analysis shadow price side constraints simplex method simplex procedure slack variable solution basis solution method solution procedure solve Step total cost total transportation cost transportation problem types zero