Exact algorithms for multiobjective linear optimization problems with integer variables: A state of the art survey

P Halffmann, LE Schäfer, K Dächert… - Journal of Multi …, 2022 - Wiley Online Library
We provide a comprehensive overview of the literature of algorithmic approaches for
multiobjective mixed‐integer and integer linear optimization problems. More precisely, we …

Berth allocation and quay crane assignment for the trade-off between service efficiency and operating cost considering carbon emission taxation

T Wang, Y Du, D Fang, ZC Li - Transportation Science, 2020 - pubsonline.informs.org
To sustain the development of maritime transportation,“green ports,” which operate with a
good balance between environmental impact and economic interests, have been the focus …

Ambulance allocation optimization model for the overcrowding problem in US emergency departments: A case study in Florida

JA Acuna, JL Zayas-Castro, H Charkhgard - Socio-Economic Planning …, 2020 - Elsevier
In the last decade, emergency department (ED) overcrowding has become a national crisis
for the US healthcare system. Increasing mortality rates, decreasing quality of care, financial …

[HTML][HTML] Fathoming rules for biobjective mixed integer linear programs: Review and extensions

P Belotti, B Soylu, MM Wiecek - Discrete Optimization, 2016 - Elsevier
We consider the class of biobjective mixed integer linear programs (BOMILPs). We review
fathoming rules for general BOMILPs and present them in a unified manner. We then …

Solving multiobjective mixed integer convex optimization problems

M De Santis, G Eichfelder, J Niebling… - SIAM Journal on …, 2020 - SIAM
Multiobjective mixed integer convex optimization refers to mathematical programming
problems where more than one convex objective function needs to be optimized …

On multi-criteria chance-constrained capacitated single-source discrete facility location problems

ÖB Kınay, F Saldanha-da-Gama, BY Kara - Omega, 2019 - Elsevier
This work aims at investigating multi-criteria modeling frameworks for discrete stochastic
facility location problems with single sourcing. We assume that demand is stochastic and …

The quadrant shrinking method: A simple and efficient algorithm for solving tri-objective integer programs

N Boland, H Charkhgard, M Savelsbergh - European Journal of …, 2017 - Elsevier
We present a new variant of the full 2-split algorithm, the Quadrant Shrinking Method (QSM),
for finding all nondominated points of a tri-objective integer program. The algorithm is easy …

The L-shape search method for triobjective integer programming

N Boland, H Charkhgard, M Savelsbergh - Mathematical Programming …, 2016 - Springer
We present a new criterion space search method, the L-shape search method, for finding all
nondominated points of a triobjective integer program. The method is easy to implement …

A criterion space search algorithm for biobjective mixed integer programming: The triangle splitting method

N Boland, H Charkhgard… - INFORMS Journal on …, 2015 - pubsonline.informs.org
We present the first criterion space search algorithm, the triangle splitting method, for finding
all nondominated points of a biobjective mixed integer program. The algorithm is relatively …

Computing representations using hypervolume scalarizations

L Paquete, B Schulze, M Stiglmayr… - Computers & Operations …, 2022 - Elsevier
In this article, we use the hypervolume indicator as a scalarizing function for biobjective
combinatorial optimization problems. In particular, we describe a generic solution approach …