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Recent Advances in Mathematical Programming with Semi-continuous Variables and Cardinality Constraint
Mathematical programming problems with semi-continuous variables and cardinality constraint have many applications, including production planning,...
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Fuzzy efficiency ranking in fuzzy two-stage data envelopment analysis
Data envelopment analysis (DEA) is a useful tool for efficiency measurement of firms and organizations. Many production systems in the real world are...
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A computational study of a solver system for processing two-stage stochastic LPs with enhanced Benders decomposition
We report a computational study of two-stage SP models on a large set of benchmark problems and consider the following methods: (i) Solution of the...
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Implementing the simplex method as a cutting-plane method, with a view to regularization
We show that the simplex method can be interpreted as a cutting-plane method, assuming that a special pricing rule is used. This approach is...
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Fuzzy Combinatorial Optimization Problems
Decision-making is an ongoing process for humankind. Many of these real-world decisions can be modeled using the problems contained in the...
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Divide to conquer: decomposition methods for energy optimization
Modern electricity systems provide a plethora of challenging issues in optimization. The increasing penetration of low carbon renewable sources of...
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Immersed Boundary Methods for Fluid-Structure Interaction and Shape Optimization within an FEM-Based PDE Toolbox
One of the main challenges in a classical mesh-based FEM-approach is the representation of complex geometries. This challenge is often tackled by a...
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The Lorenz Attractor, a Paradigm for Chaos
It is very unusual for a mathematical or physical idea to disseminate into the society at large. An interesting example is chaos theory, popularized...
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Monotone Measure Probability Representations and Weighted Fuzzy Statistics
The basic definitions and propositions of the well-known Campos–Bolanos probability representations (CBR) and Murofushi–Sugeno probability...
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Modeling Macromolecular Complexes: A Journey Across Scales
While proteins and nucleic acids are the fundamental components of an organism, Biology itself is based on the interactions they make with each...
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Algorithms and Software for Convex Mixed Integer Nonlinear Programs
This paper provides a survey of recent progress and software for solving convex Mixed Integer Nonlinear Programs (MINLP)s, where the objective and...
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Worst-Case Violation of Sampled Convex Programs for Optimization with Uncertainty
A deterministic approach called robust optimization has been recently proposed to deal with optimization problems including inexact data, i.e.,...
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A facility location model with safety stock costs: analysis of the cost of single-sourcing requirements
We consider a supply chain setting where multiple uncapacitated facilities serve a set of customers with a single product. The majority of literature...
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An exact algorithm for side-chain placement in protein design
Computational protein design aims at constructing novel or improved functions on the structure of a given protein backbone and has important...
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On Adaptive-Multilevel BDDC
The BDDC method [2] is one of the most advanced methods of iterative substructuring. In the case of many substructures, solving the coarse problem...
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Algebraic Curves and Riemann Surfaces in Matlab
In the previous chapter, a detailed description of the algorithms for the ‘algcurves’ package in Maple was presented. As discussed there, the package...
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Optimization of real asset portfolio using a coherent risk measure: application to oil and energy industries
We consider the problem of optimally determining an investment portfolio for an energy company owning a network of gas pipelines, and in charge of...
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1910 – 1919
The second decennium opened with Brouwer’s spectacular breakthrough in topology. In quick succession he wrote a number of epoch-making papers. The...
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Algorithms
The discussion of algorithms in this chapter is organized according to the framework of different SLP model classes, as presented in the previous...
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A Unified Primal-Dual Algorithm Framework Based on Bregman Iteration
In this paper, we propose a unified primal-dual algorithm framework for two classes of problems that arise from various signal and image processing...