## Optimization in Science and Engineering: In Honor of the 60th Birthday of Panos M. PardalosThemistocles M. Rassias, Christodoulos A. Floudas, Sergiy Butenko
Topics highlight recent developments and include: - Deterministic global optimization
- Variational inequalities and equilibrium problems
- Approximation and complexity in numerical optimization
- Non-smooth optimization
- Statistical models and data mining
- Applications of optimization in medicine, energy systems, and complex network analysis
This volume will be of great interest to graduate students, researchers, and practitioners, in the fields of optimization and engineering. |

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### Contents

1 | |

Variational Inequality Models Arising in the Study of Viscoelastic Materials | 33 |

Neighboring LocalOptimal Solutions and Its Applications | 67 |

General Traffic Equilibrium Problem with Uncertainty and Random Variational Inequalities | 89 |

Computational Complexities of Optimization Problems Related to ModelBased Clustering of Networks | 97 |

On DistributedLag Modeling Algorithms by rConvexity and Piecewise Monotonicity | 114 |

PoincaréType Inequalities for Greens Operator on Harmonic Forms | 141 |

An Overview | 157 |

Nonconvex Generalized Benders Decomposition | 307 |

On Nonsmooth Multiobjective Optimality Conditions with Generalized Convexities | 332 |

A Game Theoretical Model for Experiment Design Optimization | 359 |

A Supply Chain Network Game Theoretic Framework for TimeBased Competition with Transportation Costs and Product Differentiation | 372 |

On the Discretization of Pseudomonotone Variational Inequalities with an Application to the Numerical Solution of the Nonmonotone Delamination ... | 393 |

Designing Groundwater Supply Systems Using the Mesh Adaptive Basin Hopping Algorithm | 406 |

Regularity of a Kind of Marginal Functions in Hilbert Spaces | 423 |

On Solving Optimization Problems with Hidden Nonconvex Structures | 465 |

Separation of Finitely Many Convex Sets and Data Preclassification | 178 |

The Shortest Superstring Problem | 189 |

Computational Comparison of Convex Underestimators for Use in a BranchandBound Global Optimization Framework | 229 |

A Quasi Exact Solution Approach for Scheduling Enhanced Coal Bed Methane Production Through CO2 Injection | 247 |

A Stochastic Model of Oligopolistic Market Equilibrium Problems | 262 |

Computing AreaTight Piecewise Linear Overestimators Underestimators and Tubes for Univariate Functions | 273 |

Market Graph and Markowitz Model | 293 |

Variational Principles in Gauge Spaces | 503 |

Brain Network Characteristics in Status Epilepticus | 543 |

A Review on Consensus Clustering Methods | 553 |

Influence Diffusion in Social Networks | 567 |

A New Exact Penalty Function Approach to Semiinfinite Programming Problem | 582 |

On the Statistical ModelsBased Multiobjective Optimization | 597 |

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### Common terms and phrases

analysis applications approach approximation algorithms area-tight breakpoints computational cone consensus clustering consider constraints constructed convergence convex functions convex sets deﬁned deﬁnition denote differentiable equation equilibrium point example exists feasible ﬁnite ﬁrst formulation function f given global optimization gradient GREEDY hence implies integer realization iteration lag coefficients Lagrange multipliers Lemma linear classifiers Lipschitz continuous local-optimal solutions MABH market graph Math mathematical matrix maximization maximum method metric minimization monotonic Nash equilibrium NGBD nodes nonconvex nonempty nonlinear nonsmooth objective function obtained Oper optimization problem parameters Pardalos Pareto polynomial programming Proof properties Proposition quadratic random robust satisﬁes Sect separation sequence social networks solving space Springer Springer Science+Business Media stability regions Step stochastic stocks string set subdifferential subproblems sufﬁciently supply chain supply chain network Theorem theory tion underestimator variables variational inequality variational principles vector