Efficiency and Approachability of Nonconvex Bicriteria Programs
Copyright policy )Efficiency and Approachability of Nonconvex Bicriteria Programs
The paper presents some characterizations of efficient and proper efficient solutions of general bicriteria optimization problems via the concepts of modified lower envelopes and approachability [\textit{M. L. Tenhuisen} and \textit{M. M. Wiecek}, J. Glob. Optim. 11, 225-251 (1997; Zbl 0903.90147)]. By using two kinds of nonlinear Lagrangian functions, the authors construct dual problems and study the stability of the standard \(\varepsilon\)-constraint scalar optimization problems associated to the original bicriteria optimization problem.
- Chongqing Normal University China (People's Republic of)
- Chongqing Normal University China (People's Republic of)
- Hong Kong Polytechnic University China (People's Republic of)
nonlinear Lagrangian, Applied Mathematics, modified Lagrangians, exact penalization, stability, Nonconvex programming, global optimization, approachability, efficiency, bicriteria optimization, bicriteria program, Multi-objective and goal programming, Analysis
nonlinear Lagrangian, Applied Mathematics, modified Lagrangians, exact penalization, stability, Nonconvex programming, global optimization, approachability, efficiency, bicriteria optimization, bicriteria program, Multi-objective and goal programming, Analysis
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