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Survey on Lagrangian relaxation for MILP: importance, challenges, historical review, recent advancements, and opportunities
Operations in areas of importance to society are frequently modeled as mixed-integer linear programming (MILP) problems. While MILP problems suffer...
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Constraint relaxation for the discrete ordered median problem
This paper compares different exact approaches to solve the Discrete Ordered Median Problem (DOMP). In recent years, DOMP has been formulated using...
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A Lagrangian relaxation approach to an electricity system investment model with a high temporal resolution
The global production of electricity contributes significantly to the release of carbon dioxide emissions. Therefore, a transformation of the...
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A Lagrangian relaxation algorithm and hybrid genetic algorithm-black widow optimization for perishable products supply chain with sustainable development goals consideration
In this study, a location-inventory-routing problem (LIRP) for perishable products with a many-to-many network and a heterogeneous vehicle fleet is...
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Sustainable closed-loop supply chain with energy efficiency: Lagrangian relaxation, reformulations and heuristics
Research on the development of sustainable supply chain models is highly active nowadays. Merging the concept of supply chain management with...
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The bundled task assignment problem in mobile crowdsensing: a lagrangean relaxation-based solution approach
This paper studies the Bundled Task Assignment Problem in Mobile Crowdsensing (BTAMC), a significant extension of the traditional Task Assignment...
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An optimization model with a lagrangian relaxation algorithm for artificial internet of things-enabled sustainable circular supply chain networks
Circular supply chain (CSC) networks improve sustainability and create socially responsible enterprises through recycling, harvesting, and...
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Using Lagrangian relaxation to locate hydrogen production facilities under uncertain demand: a case study from Norway
Hydrogen is considered a solution to decarbonize the transportation sector, an important step to meet the requirements of the Paris agreement. Even...
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A Lagrangian relaxation algorithm for optimizing a bi-objective agro-supply chain model considering CO2 emissions
In this research, an agro-supply chain in the context of both economic and environmental issues has been investigated. To this end, a bi-objective...
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Scalable relaxation techniques to solve stochastic dynamic multi-product pricing problems with substitution effects
In many businesses, firms are selling different types of products, which share mutual substitution effects in demand. To compute effective pricing...
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A Lagrangian bounding and heuristic principle for bi-objective discrete optimization
Lagrangian relaxation is a common and often successful way to approach computationally challenging single-objective discrete optimization problems...
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Tight SDP Relaxations for Cardinality-Constrained Problems
We model the cardinality-constrained portfolio problem using semidefinite matrices and investigate a relaxation using semidefinite programming....
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Applying available-to-promise (ATP) concept in mixed-model assembly line sequencing problems in a Make-To-Order (MTO) environment: problem extension, model formulation and Lagrangian relaxation algorithm
Mixed-model assembly line is known to be a special case of production lines where variety of product models similar to product characteristics are...
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Enhanced capacitated facility location problem for mental accounting management using partial resource concentration
This paper studies a framework of Reliable Capacitated Facility Location Problem with Single source constraint, which allows us to capture the mental...
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A non-anticipative learning-optimization framework for solving multi-stage stochastic programs
We present a non-anticipative learning- and scenario-based prediction-optimization (ScenPredOpt) framework that combines deep learning, heuristics,...
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Psychological recovery effects of 3D virtual tourism with real scenes -- a comparative study
ObjectiveThis study explores the psychological recovery effects of virtual tourism on individuals.
MethodsRelevant research usually tends to examine...
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Strategic legislation for the promotion of university–industry collaborations: a case study of Taiwan
The strategic utilization of technology to enhance industrial competitiveness and product quality is pivotal for economic growth. As universities own...
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Robust maximum flow network interdiction considering uncertainties in arc capacity and resource consumption
This article discusses a robust network interdiction problem considering uncertainties in arc capacities and resource consumption. The problem...
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Generation schemes for the resource-constrained project scheduling problem with partially renewable resources and generalized precedence constraints
In recent years, new resource types have been established in project scheduling. These include so-called partially renewable resources, whose total...
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Convergence of the Multiplicative Algebraic Reconstruction Technique for the Inconsistent System of Equations
We prove that the underrelaxed version of the sequence generated by the multiplicative algebraic reconstruction technique (MART) for equalities in...