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Model Building in Linear and Integer Programming
LPBased Combinatorial Problem Solving
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00 T FTF APPLICATION PROBLEMS SOLVED approach approximation AUTHOR(S CODE coefficients combinatorial optimization COMPUTER SYSTEMS CONDITIONS OF AVAILABILITY constrained optimization convergence convex deﬁned DOMAIN OF APPLICATIONS dual equations evaluations example feasible ﬁrst ﬂow formulation FORTRAN geometric programming global minimum global optimization gradient GRG2 Hessian heuristic IMPLEMENTED inequalities integer programming IQP method iteration Lagrangian line search linear programming lower bound Math MATHEMATICAL METHOD MATHEMATICAL PROBLEM Mathematical Programming matrix minimization multipliers node nonlinear constraints nonlinear programming nonsmooth objective function obtained Operations Research optimal control optimal solution optimization problems optimum Padberg parallel algorithms parallel computation polynomial polytope PRACTICAL APPLICATION PROBLEMS primal procedure PROGRAMMING LANGUAGE quadratic programming quasi-Newton quasi-Newton methods rrrr satisﬁed Schittkowski sequential SPECIAL PROGRAM FEATURES step stochastic strategy subgradient subproblem techniques test problems traveling salesman problem unconstrained update upper bound vector zero-one