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7.5.3 Trust-regionStepComputation....................... 166 7.5.4 SwitchingCondition ............................. 167 7.5.5 AlgorithmSectionI:FilterwithZOC ................... 168 7.5.6 AlgorithmSectionII:FilterwithFOC................... 170 7.5.7 FeasibilityRestorationPhase ........................ 171 7.5.8 Trust-regionAlgorithm ........................... 172 7.5.9 ConvergenceandOptimality ........................ 176 7.6 PSACaseStudyRevisited.............................. 178 7.7 Conclusions...................................... 181 8 Conclusions 184 8.1 ThesisSummaryandContributions......................... 185 8.2 DirectionsforFutureWork ............................. 189 Bibliography 192 A Nomenclature 206 B Optimization Iterations 209 B.1 ExactPenaltyAlgorithmwithZOC ........................ 209 B.2 ExactPenaltyAlgorithmwithFOC ........................ 210 B.3 Hybrid Filter Trust-region Algorithm: Tangential Subproblem . . . . . . . . . . 213 B.4 Hybrid Filter Trust-region Algorithm: Normal Subproblem . . . . . . . . . . . 215 CONTENTS CONTENTS ixPDF Image | Design and Operation of Pressure Swing Adsorption Processes
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