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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

The Variable Sized Bin Packing Problem has a wide range of application areas including packing, scheduling, and manufacturing. Given a list of items and variable sized bin types, the objective is to minimize the total size of the used bins.…

分布式、并行与集群计算 · 计算机科学 2016-03-02 Qadha'a AlEnezi , Hosam AboElFotoh , Bader AlBdaiwi , Mohammad Ali AlMulla

We consider robust combinatorial optimization problems where the decision maker can react to a scenario by choosing from a finite set of $k$ solutions. This approach is appropriate for decision problems under uncertainty where the…

最优化与控制 · 数学 2019-03-28 André Chassein , Marc Goerigk , Jannis Kurtz , Michael Poss

We consider the Bin Packing problem with a partition matroid constraint. The input is a set of items of sizes in $(0,1]$, and a partition matroid over the items. The goal is to pack all items in a minimum number of unit-size bins, such that…

数据结构与算法 · 计算机科学 2023-05-16 Ilan Doron-Arad , Ariel Kulik , Hadas Shachnai

Cutting and Packing problems are occurring in different industries with a direct impact on the revenue of businesses. Generally, the goal in Cutting and Packing is to assign a set of smaller objects to a set of larger objects. To solve…

人工智能 · 计算机科学 2021-10-28 Stefan Böhm , Martin Neumayer , Oliver Kramer , Alexander Schiendorfer , Alois Knoll

In two-dimensional geometric knapsack problem, we are given a set of n axis-aligned rectangular items and an axis-aligned square-shaped knapsack. Each item has integral width, integral height and an associated integral profit. The goal is…

数据结构与算法 · 计算机科学 2021-03-18 Arindam Khan , Arnab Maiti , Amatya Sharma , Andreas Wiese

The task of finding efficient production schedules for parallel machines is a challenge that arises in most industrial manufacturing domains. There is a large potential to minimize production costs through automated scheduling techniques,…

In traditional assembly lines, it is reasonable to assume that task execution times are the same for each worker. However, in sheltered work centres for disabled this assumption is not valid: some workers may execute some tasks considerably…

人工智能 · 计算机科学 2013-08-05 Leonardo Borba , Marcus Ritt

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

Packing problems are in general NP-hard, even for simple cases. Since now there are no highly efficient algorithms available for solving packing problems. The two-dimensional bin packing problem is about packing all given rectangular items,…

神经与进化计算 · 计算机科学 2020-07-28 Camelia-M. Pintea , Cristian Pascan , Mara Hajdu-Macelaru

Column generation is an iterative method used to solve a variety of optimization problems. It decomposes the problem into two parts: a master problem, and one or more pricing problems (PP). The total computing time taken by the method is…

最优化与控制 · 数学 2022-01-10 Mouad Morabit , Guy Desaulniers , Andrea Lodi

The three-dimensional bin packing problem (3D-BPP) plays an important role in city logistics and manufacturing environments, due to its direct relevance to operational cost. Most existing literature have investigated the conventional…

计算几何 · 计算机科学 2022-07-01 Qiruyi Zuo , Xinglu Liu , Wai Kin Victor Chan

Outsourcing jobs to a public cloud is a cost-effective way to address the problem of satisfying the peak resource demand when the local cloud has insufficient resources. In this paper, we study on managing deadline-constrained bag-of-tasks…

分布式、并行与集群计算 · 计算机科学 2016-04-29 Bo Wang , Ying Song , Yuzhong Sun , Jun Liu

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…

分布式、并行与集群计算 · 计算机科学 2016-05-26 Gerhard Rauchecker , Guido Schryen

Cutting and packing problems are fundamental in manufacturing and logistics, as they aim to minimize waste and improve efficiency. The Cutting Stock Problem (CSP) concerns material cutting, whereas the Bin Packing Problem (BPP) concerns…

The bin packing problem exists widely in real logistic scenarios (e.g., packing pipeline, express delivery), with its goal to improve the packing efficiency and reduce the transportation cost. In this NP-hard combinatorial optimization…

人工智能 · 计算机科学 2022-02-28 Jiahui Duan , Xialiang Tong , Fei Ni , Zhenan He , Lei Chen , Mingxuan Yuan

This work proposes a unified heuristic algorithm for a large class of earliness-tardiness (E-T) scheduling problems. We consider single/parallel machine E-T problems that may or may not consider some additional features such as idle time,…

人工智能 · 计算机科学 2017-01-11 Arthur Kramer , Anand Subramanian

Appointment scheduling problems under uncertainty encounter a fundamental trade-off between cost minimization and customer waiting times. Most existing studies address this trade-off using a weighted sum approach, which puts little emphasis…

综合经济学 · 经济学 2026-01-06 Carolin Bauerhenne , Rainer Kolisch , Andreas S. Schulz

Recently, a variety of constraint programming and Boolean satisfiability approaches to scheduling problems have been introduced. They have in common the use of relatively simple propagation mechanisms and an adaptive way to focus on the…

人工智能 · 计算机科学 2011-09-28 Diarmuid Grimes , Emmanuel Hebrard

We formulate the Resource-Constrained Project Scheduling Problem (RCPSP) as optimal search over the reachability graph of a Timed Transition Petri Net with Resources, using relative-delay tokens so that scheduling decisions correspond to…

人工智能 · 计算机科学 2026-05-18 Ido Lublin , Dor Atzmon , Izack Cohen