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While almost all existing works which optimally solve just-in-time scheduling problems propose dedicated algorithmic approaches, we propose in this work mixed integer formulations. We consider a single machine scheduling problem that aims…

数据结构与算法 · 计算机科学 2021-02-15 Anne-Elisabeth Falq , Pierre Fouilhoux , Safia Kedad-Sidhoum

In project scheduling under processing times uncertainty, the Anchor-Robust Project Scheduling Problem is to find a baseline schedule of bounded makespan and a max-weight subset of jobs whose starting times are guaranteed. The problem was…

最优化与控制 · 数学 2021-06-24 Pascale Bendotti , Philippe Chrétienne , Pierre Fouilhoux , Adèle Pass-Lanneau

In this paper, we develop a new formulation of changeover constraints for mixed integer programming problem (MIP) that emerges in solving a short-term production scheduling problem. The new model requires fewer constraints than the original…

最优化与控制 · 数学 2014-08-28 Pavel A. Borisovsky , Anton V. Eremeev , Josef Kallrath

We study the approximability of two related machine scheduling problems. In the late work minimization problem, there are identical parallel machines and the jobs have a common due date. The objective is to minimize the late work, defined…

数据结构与算法 · 计算机科学 2020-04-27 Peter Gyorgyi , Tamas Kis

We consider a capacitated job shop problem with order acceptance. This research is motivated by the management of a research and development project pipeline for a company in the agricultural industry whose success depends on regularly…

最优化与控制 · 数学 2024-12-02 Florian Linß , Mike Hewitt , Janis S. Neufeld , Udo Buscher

The problem of scheduling conflicting jobs on parallel machines consists in assigning a set of jobs to a set of machines so that no two conflicting jobs are allocated to the same machine, and the maximum processing time among all machines…

离散数学 · 计算机科学 2025-04-04 Phablo F. S. Moura , Roel Leus , Hande Yaman

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…

最优化与控制 · 数学 2023-07-14 Ioannis Avgerinos , Ioannis Mourtos , Stavros Vatikiotis , Georgios Zois

This paper presents different methods for solving parallel machine scheduling problems with precedence constraints and setup times between the jobs. Limited discrepancy search methods mixed with local search principles, dominance conditions…

数据结构与算法 · 计算机科学 2009-02-19 Bernat Gacias , Christian Artigues , Pierre Lopez

We consider the class of single machine scheduling problems with the objective to minimize the weighted number of late jobs, under the assumption that completion due-dates are not known precisely at the time when decision-maker must provide…

数据结构与算法 · 计算机科学 2017-08-11 Maciej Drwal

Mixed integer convex and nonlinear programs, MICP and MINLP, are expressive but require long solving times. Recent work that combines data-driven methods on solver heuristics has shown potential to overcome this issue allowing for…

最优化与控制 · 数学 2022-08-30 Xuan Lin , Gabriel I. Fernandez , Dennis W. Hong

A mathematical programming model for a class of single machine family scheduling problem is described in this technical report, with the aim of comparing the performance in solving the scheduling problem by means of mathematical programming…

最优化与控制 · 数学 2015-03-03 Davide Giglio

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

This paper considers the problem of scheduling jobs on single and parallel machines where all the jobs possess different processing times but a common due date. There is a penalty involved with each job if it is processed earlier or later…

数据结构与算法 · 计算机科学 2013-11-13 Abhishek Awasthi , Jörg Lässig , Oliver Kramer

The problem of scheduling non-simultaneously released jobs with due dates on a single machine with the objective to minimize the maximum job lateness is known to be strongly NP-hard. Here we consider an extended model in which the…

最优化与控制 · 数学 2023-06-16 Nodari Vakhania , Frank Werner , Alejandro Reynoso

We consider the problem of scheduling $n$ precedence-constrained jobs on $m$ uniformly-related machines in the presence of an arbitrary, fixed communication delay $\rho$. We consider a model that allows job duplication, i.e. processing of…

数据结构与算法 · 计算机科学 2020-04-24 Biswaroop Maiti , Rajmohan Rajaraman , David Stalfa , Zoya Svitkina , Aravindan Vijayaraghavan

The two-dimensional non-oriented bin packing problem with due dates packs a set of rectangular items, which may be rotated by 90 degrees, into identical rectangular bins. The bins have equal processing times. An item's lateness is the…

数据结构与算法 · 计算机科学 2017-11-09 S. Polyakovskiy , R. M'Hallah

The article describes a special time-interval balancing in multi-processor scheduling of composite modular jobs. This scheduling problem is close to just-in-time planning approach. First, brief literature surveys are presented on…

人工智能 · 计算机科学 2018-11-13 Mark Sh. Levin

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

Local search is a widely used technique for tackling challenging optimization problems, offering significant advantages in terms of computational efficiency and exhibiting strong empirical behavior across a wide range of problem domains. In…

数据结构与算法 · 计算机科学 2025-05-14 Lars Rohwedder , Ashkan Safari , Tjark Vredeveld

In scheduling and timetabling applications, the mutual-exclusion constraint stipulates that certain pairs of tasks that cannot be executed at the same time. This corresponds to the vertex colouring problem in graph theory, for which there…

最优化与控制 · 数学 2019-04-09 Jakub Marecek , Andrew J. Parkes
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