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In this paper, we propose a model to schedule the next 24 hours of operations in a bulk cargo port to unload bulk cargo trains onto stockpiles. It is a problem that includes multiple parts such as splitting long trains into shorter ones and…

Artificial Intelligence · Computer Science 2023-12-22 Guillaume Perez , Gael Glorian , Wijnand Suijlen , Arnaud Lallouet

We formulate an integer program to solve a highly constrained academic timetabling problem at the United States Merchant Marine Academy. The IP instance that results from our real case study has approximately both 170,000 rows and columns…

Artificial Intelligence · Computer Science 2017-01-04 Joshua S. Friedman

We propose a stronger formulation of the precedence constraints and the station limits for the simple assembly line balancing problem. The linear relaxation of the improved integer program theoretically dominates all previous formulations…

Discrete Mathematics · Computer Science 2015-08-11 Marcus Ritt , Alysson M. Costa

In this work, the online printing shop scheduling problem is considered. This challenging real problem, that appears in the nowadays printing industry, can be seen as a flexible job shop scheduling problem with sequence flexibility in which…

Optimization and Control · Mathematics 2022-02-22 Willian T. Lunardi , Ernesto G. Birgin , Philippe Laborie , Débora P. Ronconi , Holger Voos

This paper presents an integer programming-based optimization framework designed to effectively address the complex final exam scheduling challenges encountered at Cornell University. With high flexibility, the framework is specifically…

Optimization and Control · Mathematics 2025-11-07 Tinghan Ye , Adam S. Jovine , Willem van Osselaer , Qihan Zhu , David B. Shmoys

This paper provides a classification of real scheduling problems. Various ways have been examined and described on the problem. Scheduling problem faces a tremendous challenges and difficulties in order to meet the preferences of the…

Optimization and Control · Mathematics 2012-05-11 Suliadi F. Sufahani , Siti N. A. Mohd Razali , Zuhaimy Ismail

The growth in online shopping and third party logistics has caused a revival of interest in finding optimal solutions to the large scale in-transit freight consolidation problem. Given the shipment date, size, origin, destination, and due…

Optimization and Control · Mathematics 2018-01-29 Abdulkader S Hanbazazah , Luis E. Abril , Nazrul I Shaikh , Murat Erkoc

This paper considers the integrated problem of quay crane assignment, quay crane scheduling, yard location assignment, and vehicle dispatching operations at a container terminal. The main objective is to minimize vessel turnover times and…

Artificial Intelligence · Computer Science 2017-12-15 Damla Kizilay , Deniz T. Eliiyi , Pascal Van Hentenryck

Approximate integer programming is the following: For a convex body $K \subseteq \mathbb{R}^n$, either determine whether $K \cap \mathbb{Z}^n$ is empty, or find an integer point in the convex body scaled by $2$ from its center of gravity…

Optimization and Control · Mathematics 2024-04-10 Daniel Dadush , Friedrich Eisenbrand , Thomas Rothvoss

Scheduling problems are fundamental in combinatorial optimization. Much work has been done on approximation algorithms for NP-hard cases, but relatively little is known about exact solutions when some part of the input is a fixed parameter.…

Data Structures and Algorithms · Computer Science 2018-01-09 Dušan Knop , Martin Koutecký

In many real-life optimisation problems, there are multiple interacting components in a solution. For example, different components might specify assignments to different kinds of resource. Often, each component is associated with different…

Data Structures and Algorithms · Computer Science 2014-04-10 Edmund K. Burke , Jakub Marecek , Andrew J. Parkes , Hana Rudova

The paper presents a scheduling intelligent system intended for the project management and for the operation management as well, having integrated a planner time buffer method combined with the PERT (Programme Evaluation and Review…

Software Engineering · Computer Science 2018-04-19 Gabriela Prostean , Octavian Prostean , Iosif Szeidert , Ioan Filip

The minimum common string partition problem is an NP-hard combinatorial optimization problem with applications in computational biology. In this work we propose the first integer linear programming model for solving this problem. Moreover,…

Artificial Intelligence · Computer Science 2014-05-23 Christian Blum , José A. Lozano , Pedro Pinacho Davidson

A popular approach in combinatorial optimization is to model problems as integer linear programs. Ideally, the relaxed linear program would have only integer solutions, which happens for instance when the constraint matrix is totally…

Data Structures and Algorithms · Computer Science 2009-09-29 Christoph Durr , Mathilde Hurand

In this paper, scheduling problems of aircraft minimizing the total delays on a same runway and on dual runways are studied. In contrast to the algorithms based on mixed-integer optimization models in existing works, where the optimality…

Optimization and Control · Mathematics 2026-03-18 Peng Lin , Haopeng Yang

In this paper, the scheduling problems of landing and takeoff aircraft on a same runway and on dual runways are addressed. In contrast to the approaches based on mixed-integer optimization models in existing works, our approach focuses on…

Optimization and Control · Mathematics 2025-06-06 Peng Lin , Haopeng Yang , Gui Gui , Mengxiang Zeng , Weihua Gui

The notion of 'resource' plays an important role in the overall efficiency and performance of most cross-docks. The processing time can often be described in terms of the resources allocated to different trucks. Conversely, for a given…

Optimization and Control · Mathematics 2023-11-07 Rahimeh Neamatian Monemia , Shahin Gelareh

Planning in public transportation is traditionally done in a sequential process: After the network design process, the lines and their frequencies are planned. When these are fixed, a timetable is determined and based on the timetable, the…

Optimization and Control · Mathematics 2021-12-07 Philine Schiewe , Anita Schöbel

Real world combinatorial optimization problems such as scheduling are typically too complex to solve with exact methods. Additionally, the problems often have to observe vaguely specified constraints of different importance, the available…

Artificial Intelligence · Computer Science 2007-05-23 Andreas Raggl , Wolfgang Slany

Integer programs provide a powerful abstraction for representing a wide range of real-world scheduling problems. Despite their ability to model general scheduling problems, solving large-scale integer programs (IP) remains a computational…

Machine Learning · Computer Science 2022-04-18 Luke Kenworthy , Siddharth Nayak , Christopher Chin , Hamsa Balakrishnan
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