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Flow shops are widely studied machine environments in which all jobs must visit all machines in the same order. While conventional flow shops assume that each job traverses the shop only once, many industrial environments require jobs to…

最优化与控制 · 数学 2025-07-04 Maximilian von Aspern , Felix Buld , Nicklas Klein , Michael Pinedo

In this paper, we consider the online version of the machine minimization problem (introduced by Chuzhoy et al., FOCS 2004), where the goal is to schedule a set of jobs with release times, deadlines, and processing lengths on a minimum…

离散数学 · 计算机科学 2014-03-06 Nikhil Devanur , Konstantin Makarychev , Debmalya Panigrahi , Grigory Yaroslavtsev

We consider online scheduling to minimize weighted completion time on related machines, where each job consists of several tasks that can be concurrently executed. A job gets completed when all its component tasks finish. We obtain an…

数据结构与算法 · 计算机科学 2021-07-14 Anupam Gupta , Amit Kumar , Sahil Singla

This paper addresses the scheduling problem for unrelated crowd workers in mobile social networks, where the required service time for each task varies among the assigned crowd workers. The goal is to minimize the total weighted completion…

数据结构与算法 · 计算机科学 2026-03-30 Chi-Yeh Chen

We consider a natural generalization of scheduling $n$ jobs on $m$ parallel machines so as to minimize the makespan. In our extension the set of jobs is partitioned into several classes and a machine requires a setup whenever it switches…

数据结构与算法 · 计算机科学 2018-09-28 Klaus Jansen , Marten Maack , Alexander Mäcker

In this paper, we present long-awaited algorithmic advances toward the efficient construction of near-optimal replenishment policies for a true inventory management classic, the economic warehouse lot scheduling problem. While this paradigm…

数据结构与算法 · 计算机科学 2026-01-23 Danny Segev

In parallel machine scheduling, we are given a set of jobs, together with a number of machines and our goal is to decide for each job, when and on which machine(s) it should be scheduled in order to minimize some objective function.…

数据结构与算法 · 计算机科学 2023-02-09 Klaus Jansen , Kai Kahler

While previous work on energy-efficient algorithms focused on assumption that tasks can be assigned to any processor, we initially study the problem of task scheduling on restricted parallel processors. The objective is to minimize the…

数据结构与算法 · 计算机科学 2013-09-17 Xibo Jin , Fa Zhang , Ying Song , Liya Fan , Zhiyong Liu

We implement and test the performances of several approximation algorithms for computing the minimum dominating set of a graph. These algorithms are the standard greedy algorithm, the recent LP rounding algorithms and a hybrid algorithm…

数据结构与算法 · 计算机科学 2020-09-11 Jonathan S. Li , Rohan Potru , Farhad Shahrokhi

We consider a fundamental online scheduling problem in which jobs with processing times and deadlines arrive online over time at their release dates. The task is to determine a feasible preemptive schedule on a single or multiple possibly…

数据结构与算法 · 计算机科学 2021-12-02 Franziska Eberle , Nicole Megow , Kevin Schewior

A mixed shop is a manufacturing infrastructure designed to process a mixture of a set of flow-shop jobs and a set of open-shop jobs. Mixed shops are in general much more complex to schedule than flow-shops and open-shops, and have been…

数据结构与算法 · 计算机科学 2018-09-18 Longcheng Liu , Yong Chen , Jianming Dong , Randy Goebel , Guohui Lin , Yue Luo , Guanqun Ni , Bing Su , An Zhang

This paper is concerned with the $1||\sum p_jU_j$ problem, the problem of minimizing the total processing time of tardy jobs on a single machine. This is not only a fundamental scheduling problem, but also a very important problem from a…

数据结构与算法 · 计算机科学 2020-04-22 Karl Bringmann , Nick Fischer , Danny Hermelin , Dvir Shabtay , Philip Wellnitz

We present a general technique for approximating bicriteria minimization problems with positive-valued, polynomially computable objective functions. Given $0<\epsilon\leq1$ and a polynomial-time $\alpha$-approximation algorithm for the…

最优化与控制 · 数学 2017-11-16 Pascal Halffmann , Stefan Ruzika , Clemens Thielen , David Willems

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

In the restricted assignment problem, the input consists of a set of machines and a set of jobs each with a processing time and a subset of eligible machines. The goal is to find an assignment of the jobs to the machines minimizing the…

计算复杂性 · 计算机科学 2019-07-09 Marten Maack , Klaus Jansen

We study the problem of preemptive scheduling n jobs with given release times on m identical parallel machines. The objective is to minimize the average flow time. We show that when all jobs have equal processing times then the problem can…

数据结构与算法 · 计算机科学 2007-05-23 Philippe Baptiste , Peter Brucker , Marek Chrobak , Christoph Durr , Svetlana A. Kravchenko , Francis Sourd

Apart from the principles and methodologies inherited from Economics and Game Theory, the studies in Algorithmic Mechanism Design typically employ the worst-case analysis and approximation schemes of Theoretical Computer Science. For…

计算机科学与博弈论 · 计算机科学 2017-12-15 Jie Zhang

In this paper, we are interested in parallel identical machine scheduling problems with preemption and release dates in case of a regular criterion to be minimized. We show that solutions having a permutation flow shop structure are…

离散数学 · 计算机科学 2013-09-19 D. Prot , O. Bellenguez-Morineau , C. Lahlou

In this paper we study a proportionate flow shop of batching machines with release dates and a fixed number $m \geq 2$ of machines. The scheduling problem has so far barely received any attention in the literature, but recently its…

数据结构与算法 · 计算机科学 2020-11-30 Christoph Hertrich , Christian Weiß , Heiner Ackermann , Sandy Heydrich , Sven O. Krumke

We introduce and study a class of optimization problems we coin replenishment problems with fixed turnover times: a very natural model that has received little attention in the literature. Nodes with capacity for storing a certain commodity…

数据结构与算法 · 计算机科学 2017-12-15 Thomas Bosman , Martijn van Ee , Yang Jiao , Alberto Marchetti-Spaccamela , R. Ravi , Leen Stougie
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