Multiobjective process line optimization under uncertainty applied to papermaking

Multiobjective optimization methodology for the development of the papermaking process is considered. The aim is to find efficient and reliable solution procedures for the process line model consisting of sequential unit-process models; some of them based on physics, whereas others on experimental data. By the consequence of modeling procedures, nonphysical states or inherited from modeling data in statistical case, the unit-process models may suffer from undesired unreliability. To control the uncertainty resulting from the unit-process models, a new multiobjective optimization approach is introduced where both the papermaking targets as well as the uncertainty related unit-process models are simultaneously taken into account. We illustrate the solution process by numerical examples related to the quality of the produced paper.

[1]  Dhanesh Padmanabhan,et al.  Reliability-Based Optimization for Multidisciplinary System Design , 2003 .

[2]  John E. Dennis,et al.  Problem Formulation for Multidisciplinary Optimization , 1994, SIAM J. Optim..

[3]  Yan Fu,et al.  Better Optimization of Nonlinear Uncertain Systems (BONUS) for Vehicle Structural Design , 2004, Ann. Oper. Res..

[4]  Arkadi Nemirovski,et al.  Robust optimization – methodology and applications , 2002, Math. Program..

[5]  Wei Chen,et al.  Towards a Better Understanding of Modeling Feasibility Robustness in Engineering Design , 2000 .

[6]  Hiroshi Furuya,et al.  Robust structural optimization of plate wing corresponding to bifurcation in higher mode flutter , 2005 .

[7]  S. Batill,et al.  AN ITERATIVE CONCURRENT SUBSPACE ROBUST DESIGN FRAMEWORK , 2000 .

[8]  Janet K. Allen,et al.  A review of robust design methods for multiple responses , 2005 .

[9]  Eric R. Ziegel,et al.  Generalized Linear Models , 2002, Technometrics.

[10]  J. Fraser Forbes,et al.  Real-time optimization under parametric uncertainty: a probability constrained approach , 2002 .

[11]  Kaisa Miettinen,et al.  Multiobjective Decision Making for Papermaking , 2004 .

[12]  John E. Renaud,et al.  Reliability based design optimization using response surfaces in application to multidisciplinary systems , 2004 .

[13]  S. Azarm,et al.  Multi-objective robust optimization using a sensitivity region concept , 2005 .

[14]  John E. Renaud,et al.  Worst case propagated uncertainty of multidisciplinary systems in robust design optimization , 2000 .

[15]  John R. Birge,et al.  Introduction to Stochastic Programming , 1997 .

[16]  Kaisa Miettinen,et al.  Issues related to the computer realization of a multidisciplinary and multiobjective optimization system , 2006, Engineering with Computers.

[17]  Wei Chen,et al.  Quality utility : a Compromise Programming approach to robust design , 1999 .

[18]  Christopher A. Mattson,et al.  Pareto Frontier Based Concept Selection Under Uncertainty, with Visualization , 2005 .

[19]  Ri C Hard Holm,et al.  Fluid mechanics of fibre suspensions related to papermaking , 2005 .

[20]  Mariano Luque,et al.  INTEREST: a reference-point-based interactive procedure for stochastic multiobjective programming problems , 2010, OR Spectr..

[21]  Wei Chen,et al.  Collaborative Reliability Analysis under the Framework of Multidisciplinary Systems Design , 2005 .

[22]  Elina Madetoja,et al.  On sensitivity analysis of nonsmooth multidisciplinary optimization problems in engineering process line applications , 2006 .

[23]  Xiaoping Du,et al.  The use of metamodeling techniques for optimization under uncertainty , 2001 .

[24]  Moritz Diehl,et al.  An approximation technique for robust nonlinear optimization , 2006, Math. Program..

[25]  Michael S. Eldred,et al.  Perspectives on optimization under uncertainty: Algorithms and applications. , 2004 .

[26]  Jaroslaw Sobieszczanskisobieski,et al.  On the sensitivity of complex, internally coupled systems , 1988 .

[27]  Stephen M. Batill,et al.  DECOMPOSITION STRATEGIES FOR RELIABILITY BASED OPTIMIZATION IN MULTIDISCIPLINARY SYSTEM DESIGN , 2002 .

[28]  P. McCullagh,et al.  Generalized Linear Models , 1972, Predictive Analytics.

[29]  Kaisa Miettinen,et al.  Nonlinear multiobjective optimization , 1998, International series in operations research and management science.

[30]  Nikolaos V. Sahinidis,et al.  Optimization under uncertainty: state-of-the-art and opportunities , 2004, Comput. Chem. Eng..

[31]  M. Seetharama Gowda,et al.  Inverse and implicit function theorems for H-differentiable and semismooth functions , 2004, Optim. Methods Softw..

[32]  Y. Pawitan In all likelihood : statistical modelling and inference using likelihood , 2002 .