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  1. No Access

    Chapter

    GAMS/BARON: A Tutorial and Empirical Performance Analysis

    The purpose of this chapter is threefold. First, to provide modelers, students, and practitioners with easily accessible models and reproducible computational results. Second, to demonstrate that the algorithm...

    Mohit Tawarmalani, Nikolaos V. Sahinidis in Convexification and Global Optimization in… (2002)

  2. No Access

    Chapter

    Convex Extensions and Relaxation Strategies

    Central to the efficiency of global optimization methods for nonconvex mathematical programs is the capability to construct tight convex relaxations. In this chapter, we develop the theory of convex extensions...

    Mohit Tawarmalani, Nikolaos V. Sahinidis in Convexification and Global Optimization in… (2002)

  3. No Access

    Chapter

    Exact Algorithms for Global Optimization of Mixed-Integer Nonlinear Programs

    This chapter presents recent advances in the development and application of global optimization algorithms for solving mixed-integer nonlinear programs (MINLPs). It is demonstrated that practically relevant no...

    Mohit Tawarmalani, Nikolaos V. Sahinidis in Handbook of Global Optimization (2002)

  4. No Access

    Article

    Prologue

    Ignacio E. Grossmann, Nikolaos V. Sahinidis in Optimization and Engineering (2002)

  5. No Access

    Article

    Product Disaggregation in Global Optimization and Relaxations of Rational Programs

    We consider the product of a single continuous variable and the sum of a number of continuous variables. We show that “product disaggregation” (distributing the product over the sum) leads to tighter linear pr...

    Mohit Tawarmalani, Shabbir Ahmed, Nikolaos V. Sahinidis in Optimization and Engineering (2002)

  6. No Access

    Article

    Convex extensions and envelopes of lower semi-continuous functions

     We define a convex extension of a lower semi-continuous function to be a convex function that is identical to the given function over a pre-specified subset of its domain. Convex extensions are not necessaril...

    Mohit Tawarmalani, Nikolaos V Sahinidis in Mathematical Programming (2002)

  7. No Access

    Article

    Global Optimization of 0-1 Hyperbolic Programs

    We develop eight different mixed-integer convex programming reformulations of 0-1 hyperbolic programs. We obtain analytical results on the relative tightness of these formulations and propose a branch and boun...

    Mohit Tawarmalani, Shabbir Ahmed, Nikolaos V. Sahinidis* in Journal of Global Optimization (2002)

  8. No Access

    Chapter and Conference Paper

    Global Optimization and Constraint Satisfaction: The Branch-and-Reduce Approach

    In the early 1990s, we proposed the integration of constraint programming and optimization techniques within the branch-and-bound framework for the global optimization of nonconvex nonlinear and mixed-integer ...

    Nikolaos V. Sahinidis in Global Optimization and Constraint Satisfaction (2003)

  9. No Access

    Article

    Prologue

    Ignacio E. Grossmann, Nikolaos V. Sahinidis in Optimization and Engineering (2003)

  10. No Access

    Article

    Global Optimization of Multiplicative Programs

    This paper develops global optimization algorithms for linear multiplicative and generalized linear multiplicative programs based upon the lower bounding procedure of Ryoo and Sahinidis [30] and new greedy bra...

    Hong-Seo Ryoo, Nikolaos V. Sahinidis in Journal of Global Optimization (2003)

  11. No Access

    Article

    Global optimization of mixed-integer nonlinear programs: A theoretical and computational study

    This work addresses the development of an efficient solution strategy for obtaining global optima of continuous, integer, and mixed-integer nonlinear programs. Towards this end, we develop novel relaxation sch...

    Mohit Tawarmalani, Nikolaos V. Sahinidis in Mathematical Programming (2004)

  12. No Access

    Article

    A finite branch-and-bound algorithm for two-stage stochastic integer programs

    This paper addresses a general class of two-stage stochastic programs with integer recourse and discrete distributions. We exploit the structure of the value function of the second-stage integer problem to dev...

    Shabbir Ahmed, Mohit Tawarmalani, Nikolaos V. Sahinidis in Mathematical Programming (2004)

  13. No Access

    Article

    Accelerating Branch-and-Bound through a Modeling Language Construct for Relaxation-Specific Constraints

    In the tradition of modeling languages for optimization, a single model is passed to a solver for solution. In this paper, we extend BARON’s modeling language in order to facilitate the communication of proble...

    Nikolaos V. Sahinidis, Mohit Tawarmalani in Journal of Global Optimization (2005)

  14. No Access

    Article

    A polyhedral branch-and-cut approach to global optimization

    A variety of nonlinear, including semidefinite, relaxations have been developed in recent years for nonconvex optimization problems. Their potential can be realized only if they can be solved with sufficient s...

    Mohit Tawarmalani, Nikolaos V. Sahinidis in Mathematical Programming (2005)

  15. No Access

    Chapter and Conference Paper

    A Branch-and-Reduce Algorithm for the Contact Map Overlap Problem

    A fundamental problem in molecular biology is the comparison of 3-dimensional protein folds in order to develop similarity measures and exploit them for protein clustering, database searches, and drug design. ...

    Wei **e, Nikolaos V. Sahinidis in Research in Computational Molecular Biology (2006)

  16. No Access

    Article

    Global optimization in stabilizing controller design

    In this paper, we develop a global optimization methodology to solve stabilization problems. We first formulate stabilization problems as bilevel programming problems. By invoking the Hurwitz stability conditi...

    YoungJung Chang, Nikolaos V. Sahinidis in Journal of Global Optimization (2007)

  17. No Access

    Reference Work Entry In depth

    Chemical Process Planning

    Keywords

    Shabbir Ahmed, Nikolaos V. Sahinidis in Encyclopedia of Optimization (2009)

  18. No Access

    Reference Work Entry In depth

    Optimization Techniques for Phase Retrieval Based on Single-Crystal X-Ray Diffraction Data

    Introduction

    Alexander Barton Smith, Nikolaos V. Sahinidis in Encyclopedia of Optimization (2009)

  19. No Access

    Reference Work Entry In depth

    Contact Map Overlap Maximization Problem, CMO

    Introduction

    Wei **e, Nikolaos V. Sahinidis in Encyclopedia of Optimization (2009)

  20. No Access

    Reference Work Entry In depth

    Time-Dependent Traveling Salesman Problem

    Keywords

    Mohit Tawarmalani, Nikolaos V. Sahinidis in Encyclopedia of Optimization (2009)

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