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We study the Maximum Budgeted Allocation problem, i.e., the problem of selling a set of $m$ indivisible goods to $n$ players, each with a separate budget, such that we maximize the collected revenue. Since the natural assignment LP is known…

Data Structures and Algorithms · Computer Science 2014-03-31 Christos Kalaitzis , Aleksander Mcadry , Alantha Newman , Lukáš Poláček , Ola Svensson

This paper addresses a production scheduling problem derived from an industrial use case, focusing on unrelated parallel machine scheduling with the personnel availability constraint. The proposed model optimizes the production plan over a…

Artificial Intelligence · Computer Science 2024-02-27 Maziyar Khadivi , Mostafa Abbasi , Todd Charter , Homayoun Najjaran

It is well known that selecting a good Mixed Integer Programming (MIP) formulation is crucial for an effective solution with state-of-the art solvers. While best practices and guidelines for constructing good formulations abound, there is…

Optimization and Control · Mathematics 2017-05-23 Juan Pablo Vielma

Several recent publications report advances in training optimal decision trees (ODT) using mixed-integer programs (MIP), due to algorithmic advances in integer programming and a growing interest in addressing the inherent suboptimality of…

Machine Learning · Computer Science 2020-11-09 Haoran Zhu , Pavankumar Murali , Dzung T. Phan , Lam M. Nguyen , Jayant R. Kalagnanam

The facility location problems (FLPs) are a typical class of NP-hard combinatorial optimization problems, which are widely seen in the supply chain and logistics. Many mathematical and heuristic algorithms have been developed for optimizing…

Machine Learning · Computer Science 2022-10-28 Shiqing Liu , Xueming Yan , Yaochu Jin

We study the problem of designing systems in order to minimize cost while meeting a given flexibility target. Flexibility is attained by enforcing a joint chance constraint, which ensures that the system will exhibit feasible operation with…

Optimization and Control · Mathematics 2021-06-25 Joshua L. Pulsipher , Victor M. Zavala

This thesis investigates the use of problem-specific knowledge to enhance a genetic algorithm approach to multiple-choice optimisation problems.It shows that such information can significantly enhance performance, but that the choice of…

Neural and Evolutionary Computing · Computer Science 2010-07-05 Uwe Aickelin

This paper considers how to fuse Machine Learning (ML) and optimization to solve large-scale Supply Chain Planning (SCP) optimization problems. These problems can be formulated as MIP models which feature both integer (non-binary) and…

Machine Learning · Computer Science 2025-04-11 Vahid Eghbal Akhlaghi , Reza Zandehshahvar , Pascal Van Hentenryck

This paper addresses the single-item single-stocking location non-stationary stochastic lot-sizing problem under a reorder point -- order quantity control strategy. The reorder points and order quantities are chosen at the beginning of the…

Optimization and Control · Mathematics 2022-03-08 Xiyuan Ma , Roberto Rossi , Thomas Welsh Archibald

Mixed Integer Programming (MIP) is NP-hard, and yet modern solvers often solve large real-world problems within minutes. This success can partially be attributed to heuristics. Since their behavior is highly instance-dependent, relying on…

Optimization and Control · Mathematics 2023-04-10 Antonia Chmiela , Ambros Gleixner , Pawel Lichocki , Sebastian Pokutta

In this work, the online printing shop scheduling problem introduced in (Lunardi et al., Mixed Integer Linear Programming and Constraint Programming Models for the Online Printing Shop Scheduling Problem, Computers & Operations Research, to…

Artificial Intelligence · Computer Science 2022-02-22 Willian T. Lunardi , Ernesto G. Birgin , Débora P. Ronconi , Holger Voos

The growing need for companies to reduce costs and maximize profits has led to an increased focus on logistics activities. Among these, inventory management plays a crucial role in minimizing organizational expenses by optimizing the…

Facility and covering location models are key elements in many decision aid tools in logistics, supply chain design, telecommunications, public infrastructure planning, and many other industrial and public sectors. In many applications, it…

Optimization and Control · Mathematics 2019-09-12 Eduardo Álvarez-Miranda , Markus Sinnl

Motivated by the need of quick job (re-)scheduling, we examine an elaborate scheduling environment under the objective of total weighted tardiness minimization. The examined problem variant moves well beyond existing literature, as it…

Optimization and Control · Mathematics 2023-07-14 Ioannis Avgerinos , Ioannis Mourtos , Stavros Vatikiotis , Georgios Zois

Stochastic choice-based discrete planning is a broad class of decision-making problems characterized by a sequential decision-making process involving a planner and a group of customers. The firm or planner first decides a subset of options…

Optimization and Control · Mathematics 2024-09-20 Jiajie Zhang , Yun Hui Lin , Gerardo Berbeglia

Mixed Integer Programming (MIP) is one of the most widely used modeling techniques for combinatorial optimization problems. In many applications, a similar MIP model is solved on a regular basis, maintaining remarkable similarities in model…

Artificial Intelligence · Computer Science 2019-09-10 Jian-Ya Ding , Chao Zhang , Lei Shen , Shengyin Li , Bing Wang , Yinghui Xu , Le Song

Modeling and optimization of multi-echelon supply chain systems is challenging as it requires a holistic approach that exploits synergies and interactions between echelons while accurately accounting for variability observed by these…

Optimization and Control · Mathematics 2019-01-03 Anshul Agarwal

Many academic disciplines - including information systems, computer science, and operations management - face scheduling problems as important decision making tasks. Since many scheduling problems are NP-hard in the strong sense, there is a…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-05-26 Gerhard Rauchecker , Guido Schryen

Logistics network is expected that opened facilities work continuously for a long time horizon without any failure, but in real world problems, facilities may face disruptions. This paper studies a reliable joint inventory location problem…

Data Structures and Algorithms · Computer Science 2017-11-28 Elham Taghizadeh , Mostafa Abedzadeh , Mostafa Setak

In this paper we study the problem of locating a given number of hyperplanes minimizing an objective function of the closest distances from a set of points. We propose a general framework for the problem in which norm-based distances…

Optimization and Control · Mathematics 2021-01-12 Víctor Blanco , Alberto Japón , Diego Ponce , Justo Puerto
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