Introduction Page 1 Chapter 1 Introduction Constrained global optimization is concerned
with the characterization and computation of global minima or maxima of nonconvex …

This paper presents an algorithm for finding global solutions of nonconvex nonlinear
programs (NLPs) and mixed-integer nonlinear programs (MINLPs). The approach is based …

Quadratic optimization comprises one of the most important areas of nonlinear
programming. Numerous problems in real world applications, including problems in …

Successive Linear Programming (SLP), which is also known as the Method of
Approximation Programming, solves nonlinear optimization problems via a sequence of …

The pooling problem, which is fundamental to the petroleum industry, describes a situation
in which products possessing different attribute qualities are mixed in a series of pools in …

Our recent work globally optimized two classes of large-scale pooling problems: a
generalized pooling problem treating the network topology as a decision variable and an …

The pooling problem, an optimization challenge of maximizing profit subject product
availability, storage capacity, demand, and product specification constraints, has …

Pooling and blending problems occur frequently in the petrochemical industry where crude
oils, procured from various sources, are mixed together to manufacture several end …

This work discusses alternative relaxation schemes for the pooling problem, a theoretically
and practically interesting optimization problem. The problem nonconvexities appear in the …

In this paper a deterministic method is proposed for the global optimization of mathematical
programs that involve the sum of linear fractional and/or bilinear terms. Linear and nonlinear …