Multi-scenario, multi-objective optimization using evolutionary algorithms: Initial results

Most designs in practice go through a number of different loading or operating conditions. Therefore, a meaningful and resilient design must be such that it performs well under all such scenarios. Despite its practical importance, multi-scenario consideration has not been paid much attention in multi-objective optimization literature. In this paper, we address this challenging issue by suggesting an aggregate based handling of multiple scenarios and contrasts the proposed approach against a recently suggested approach which involves running multi-objective optimization multiple times and a rigid decision-making method. The proposed method is applied to two numerical test problems and two engineering design problems. This first evolutionary based multi-scenario, multi-objective optimization study should spur further interests among EMO researchers.

[1]  Jun Xiao,et al.  Multi-scenario, multi-objective optimization of grid-parallel Microgrid , 2011, 2011 4th International Conference on Electric Utility Deregulation and Restructuring and Power Technologies (DRPT).

[2]  Yacov Y. Haimes,et al.  Multiobjective Decision Making: Theory and Methodology , 1983 .

[3]  Lothar Thiele,et al.  Comparison of Multiobjective Evolutionary Algorithms: Empirical Results , 2000, Evolutionary Computation.

[4]  Georges M. Fadel,et al.  Multi-scenario Multi-objective Optimization with Applications in Engineering Design , 2009 .

[5]  D. S. Dugdale,et al.  Introduction to the Mechanics of Solids , 1967 .

[6]  Vittorio Zaccaria,et al.  Robust optimization of SoC architectures: A multi-scenario approach , 2008, 2008 IEEE/ACM/IFIP Workshop on Embedded Systems for Real-Time Multimedia.

[7]  A. Peirce Computer Methods in Applied Mechanics and Engineering , 2010 .

[8]  Kalyanmoy Deb,et al.  Simulated Binary Crossover for Continuous Search Space , 1995, Complex Syst..

[9]  E. Dill,et al.  An Introduction to the Mechanics of Solids , 1972 .

[10]  Lorenz T. Biegler,et al.  Large-Scale Nonlinear Programming for Multi-scenario Optimization , 2006, HPSC.

[11]  Ralph L. Keeney,et al.  Decisions with multiple objectives: preferences and value tradeoffs , 1976 .

[12]  Bernhard Sendhoff,et al.  Robust Optimization - A Comprehensive Survey , 2007 .

[13]  A Gerodimos,et al.  Robust Discrete Optimization and its Applications , 1996, J. Oper. Res. Soc..

[14]  Marco C. Campi,et al.  Decision Making in an Uncertain Environment: the Scenario based Optimization Approach , 2004 .

[15]  Vijay Kumar Singh Multi-Scenario Multi-Criteria Optimization in Engineering Design , 2001 .

[16]  D. K. Varvarezos,et al.  Multiperiod design optimization with SQP decomposition , 1994 .

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

[18]  Kalyanmoy Deb,et al.  Multi-scenario optimization using multi-criterion methods: A case study on Byzantine agreement problem , 2014, 2014 IEEE Congress on Evolutionary Computation (CEC).

[19]  R. L. Keeney,et al.  Decisions with Multiple Objectives: Preferences and Value Trade-Offs , 1977, IEEE Transactions on Systems, Man, and Cybernetics.

[20]  F. B. Vernadat,et al.  Decisions with Multiple Objectives: Preferences and Value Tradeoffs , 1994 .

[21]  R. K. Ursem Multi-objective Optimization using Evolutionary Algorithms , 2009 .