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We consider the problem of minimizing the makespan on batch processing identical machines, subject to compatibility constraints, where two jobs are compatible if they can be processed simultaneously in a same batch. These constraints are…

离散数学 · 计算机科学 2023-09-07 Khaoula Bouakaz , Mourad Boudhar

The interval scheduling problem is one variant of the scheduling problem. In this paper, we propose a novel variant of the interval scheduling problem, whose definition is as follows: given jobs are specified by their {\em release times},…

数据结构与算法 · 计算机科学 2018-05-16 Koji M. Kobayashi

In this paper we introduce a new problem in the field of production planning which we call the Production Leveling Problem. The task is to assign orders to production periods such that the load in each period and on each production resource…

人工智能 · 计算机科学 2020-06-17 Johannes Vass , Marie-Louise Lackner , Nysret Musliu

We study shared multi-processor scheduling problem where each job can be executed on its private processor and simultaneously on one of many processors shared by all jobs in order to reduce the job's completion time due to processing time…

离散数学 · 计算机科学 2021-03-05 Dariusz Dereniowski , Wieslaw Kubiak

We consider the following shared-resource scheduling problem: Given a set of jobs $J$, for each $j\in J$ we must schedule a job-specific processing volume of $v_j>0$. A total resource of $1$ is available at any time. Jobs have a resource…

数据结构与算法 · 计算机科学 2023-10-11 Christoph Damerius , Peter Kling , Florian Schneider

For scheduling in flexible manufacturing system (FMS), many factors should be considered, it is difficult to solve the scheduling problem by satisfying different criteria (production cost, utilization of system, number of movements of part,…

分布式、并行与集群计算 · 计算机科学 2019-06-24 U Yongnam , Ri Taehyong

Packing and vehicle routing problems play an important role in the area of supply chain management. In this paper, we introduce a non-linear knapsack problem that occurs when packing items along a fixed route and taking into account travel…

数据结构与算法 · 计算机科学 2015-04-16 Sergey Polyakovskiy , Frank Neumann

Assigning jobs onto identical machines with the objective to minimize the maximal load is one of the most basic problems in combinatorial optimization. Motivated by product planing and data placement, we study a natural extension called…

数据结构与算法 · 计算机科学 2019-09-27 Klaus Jansen , Alexandra Lassota , Marten Maack

Ready Mixed Concrete Delivery Problem (RMCDP) is a multi-objective multi-constraint dynamic combinatorial optimization problem. From the operational research prospective, it is a real life logistic problem that is hard to be solved with…

数据结构与算法 · 计算机科学 2018-10-29 Mohamed Masoud , Saeid Belkasim

We study the single machine scheduling problem with the objective to minimize the total weight of late jobs. It is assumed that the processing times of jobs are not exactly known at the time when a complete schedule must be dispatched.…

离散数学 · 计算机科学 2017-06-13 Maciej Drwal

Real-life parallel machine scheduling problems can be characterized by: (i) limited information about the exact task duration at scheduling time, and (ii) an opportunity to reschedule the remaining tasks each time a task processing is…

最优化与控制 · 数学 2023-11-22 Izack Cohen , Krzysztof Postek , Shimrit Shtern

A moldable job is a job that can be executed on an arbitrary number of processors, and whose processing time depends on the number of processors allotted to it. A moldable job is monotone if its work doesn't decrease for an increasing…

数据结构与算法 · 计算机科学 2018-01-09 Klaus Jansen , Felix Land

Scheduling jobs with precedence constraints on a set of identical machines to minimize the total processing time (makespan) is a fundamental problem in combinatorial optimization. In practical settings such as cloud computing, jobs are…

数据结构与算法 · 计算机科学 2014-04-29 Konstantin Makarychev , Debmalya Panigrahi

Machine Reassignment is a challenging problem for constraint programming (CP) and mixed-integer linear programming (MILP) approaches, especially given the size of data centres. The multi-objective version of the Machine Reassignment Problem…

人工智能 · 计算机科学 2021-03-19 Takfarinas Saber , Anthony Ventresque , Joao Marques-Silva , James Thorburn , Liam Murphy

Constraint programming (CP) is a powerful technique for solving constraint satisfaction and optimization problems. In CP solvers, the variable ordering strategy used to select which variable to explore first in the solving process has a…

人工智能 · 计算机科学 2023-04-13 Yuan Sun , Su Nguyen , Dhananjay Thiruvady , Xiaodong Li , Andreas T. Ernst , Uwe Aickelin

Due to the restricted resources, efficient scheduling in vertiports has received much more attention in the field of Urban Air Mobility (UAM). For the scheduling problem, we utilize a Mixed Integer Linear Programming (MILP), which is often…

人工智能 · 计算机科学 2025-12-18 Jeongseok Kim , Kangjin Kim

Mixed-integer programming (MIP) is a well-established framework for computer-aided molecular design (CAMD). By precisely encoding the molecular space and score functions, e.g., a graph neural network, the molecular design problem is…

计算工程、金融与科学 · 计算机科学 2024-11-26 Shiqiang Zhang , Christian W. Feldmann , Frederik Sandfort , Miriam Mathea , Juan S. Campos , Ruth Misener

We define a new problem called the Vehicle Scheduling Problem (VSP). The goal is to minimize an objective function, such as the number of tardy vehicles over a transportation network subject to maintaining safety distances, meeting hard…

机器人学 · 计算机科学 2020-01-28 Mirmojtaba Gharibi , Steven L. Waslander , Raouf Boutaba

We consider the uncapacitated three-level lot-sizing and replenishment problem with a distribution structure. In this NP-hard problem, a single production plant sends the produced items to replenish warehouses from where they are dispatched…

最优化与控制 · 数学 2021-04-20 Jesus O. Cunha , Rafael A. Melo

This paper addresses the scheduling problem of minimizing the total weighted tardiness on a single machine with step-deteriorating jobs. With the assumption of deterioration, the job processing times are modeled by step functions of job…

最优化与控制 · 数学 2014-11-04 Peng Guo , Wenming Cheng , Yi Wang