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aircraft analysis analyzed application approach approximate batch binary variables block branch and bound calculated chemical coefficients configuration considered convergence cost defined derivatives design problem design variables determine developed dynamic programming efficient engineering equations equipment evaluated example feasible solution fins flow flowsheet formulation Geometric Programming given heat inequality constraints integer integer programming iteration Lagrange multipliers Lagrangian Lagrangian relaxation line search linear programming matrix methods MILP minimize minimum mining Newton's method node nonlinear programming objective function obtained operations research optimal design optimal solution optimization algorithm optimization problem optimum packet packet switch parameters performance plant posynomial pressure procedure programming problem pump quadratic quantities queue reactor reduced gradient scheduling search direction selected sequence shown in Figure simulation solving specific stage statistical multiplexing step strategy streams structure subnetwork synthesis techniques tion units utility vector ventilation