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MPEC Problem Formulations in Chemical Engineering Applications

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[18] Mittelmann, H.D. and A. Pruessner, “A Server for Automated PerformanceAnalysis of Benchmark<strong>in</strong>g Data”, Optimization Methods and Software, 21,1, pp. 105-120 (2006).[19] <strong>MPEC</strong> Library, http://www.gamsworld.eu/mpec/mpeclib.htm[20] Raghunathan, A. and L. T. Biegler, “<strong>MPEC</strong> <strong>Formulations</strong> and Algorithms<strong>in</strong> Process Eng<strong>in</strong>eer<strong>in</strong>g,” Computers and <strong>Chemical</strong> Eng<strong>in</strong>eer<strong>in</strong>g, 27, pp.1381-1392 (2003)[21] Raghunathan, A., PhD Thesis, Department of <strong>Chemical</strong> Eng<strong>in</strong>eer<strong>in</strong>g,Carnegie Mellon University (2004)[22] Raghunathan, A.U. and L.T. Biegler, “Interior po<strong>in</strong>t methods for MathematicalPrograms with Complementarity Constra<strong>in</strong>ts (MPCCs),” SIAM J.Optimization, 15, 3, pp. 720-750 (2005)[23] Raghunathan, A., M.S. Diaz, L.T. Biegler “An <strong>MPEC</strong> Formulation for DynamicOptimization of Distillation Operation,” Computers and <strong>Chemical</strong>Eng<strong>in</strong>eer<strong>in</strong>g, 28/10 pp. 2037-2052 (2004)[24] Ralph, D. and S. J. Wright, “Some Properties of Regularization and PenalizationSchemes for <strong>MPEC</strong>s,” Optimization Methods and Software, 19,5, pp. 527-556 (2004)[25] Poku, M., L. Biegler, and D. Ternet, Real-Time Optimization (RTO) Onl<strong>in</strong>eTool - ROMeo & IPOPT, PREPRINT, 2005.[26] Scheel, H. and S. Scholtes, “Mathematical Programs with ComplementarityConstra<strong>in</strong>ts: Stationarity, Optimality, and Sensitivity,” Mathematics ofOperations Research, 25, 1, (2000)[27] Scholtes, S. and M. Stöhr, “How Str<strong>in</strong>gent is the L<strong>in</strong>ear Independence Assumptionfor Mathematical Programs with Complementarity Constra<strong>in</strong>ts?”Mathematics of Operations Research, 26, 4, pp. 851-863 (2001).[28] Ste<strong>in</strong>, O., J. Oldenburg, W. Marquardt, “Cont<strong>in</strong>uous Reformulations ofDiscrete-Cont<strong>in</strong>uous Optimization <strong>Problem</strong>s,” Computers & <strong>Chemical</strong> Eng<strong>in</strong>eer<strong>in</strong>g,Vol. 28, No. 10, 2004, 1951 - 1966[29] Stewart, D. and M. Anitescu “Optimal Control of Systems with Discont<strong>in</strong>uousDifferential Equations,” Prepr<strong>in</strong>t number: ANL/MCS-P1258-0605,Mathematics and Computer Science Division, Argonne National Laboratory,June 2005.[30] Young, J.C.C., R. Baker, and C.L.E. Swartz, “Input saturation effects <strong>in</strong>optimiz<strong>in</strong>g control: <strong>in</strong>clusion with<strong>in</strong> a simultaneous optimization framework,”Computers and <strong>Chemical</strong> Eng<strong>in</strong>eer<strong>in</strong>g, 28, pp. 1347-1360 (2004)28

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