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相关论文: Scheduling a Proportionate Flow Shop of Batching M…

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This paper is the first to consider online algorithms to schedule a proportionate flexible flow shop of batching machines (PFFB). The scheduling model is motivated by manufacturing processes of individualized medicaments, which are used in…

数据结构与算法 · 计算机科学 2024-07-18 Christoph Hertrich , Christian Weiß , Heiner Ackermann , Sandy Heydrich , Sven O. Krumke

We consider the routing flow shop problem with two machines on an asymmetric network. For this problem we discuss properties of an optimal schedule and present a polynomial time algorithm assuming the number of nodes of the network to be…

离散数学 · 计算机科学 2020-05-14 Ilya Chernykh , Alexander Kononov , Sergey Sevastyanov

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

In this paper, we consider an NP-hard problem of scheduling a set of jobs of equal processing time on two machines, given a partial precedence order on the set of jobs, with an objective to minimize the makespan. An approximation algorithm…

最优化与控制 · 数学 2014-12-17 Anna Romanova

We study flow shop scheduling with stochastic reentry, where jobs must complete multiple passes through the entire shop, and the number of passes that a job requires for completion is drawn from a discrete probability distribution. The goal…

数据结构与算法 · 计算机科学 2026-04-21 Maximilian von Aspern , Felix Buld , Michael Pinedo

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

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

This paper addresses the problem of scheduling a set of jobs that are released over the time on a set of identical parallel machines, aiming at the minimization of the total weighted completion time. This problem, referred to as $P|r_j|\sum…

最优化与控制 · 数学 2020-06-30 Arthur Kramer , Mauro Dell'Amico , Dominique Feillet , Manuel Iori

This paper studies a combinatorial optimization problem which is obtained by combining the flow shop scheduling problem and the shortest path problem. The objective of the obtained problem is to select a subset of jobs that constitutes a…

数据结构与算法 · 计算机科学 2013-09-03 Kameng Nip , Zhenbo Wang , Fabrice Talla Nobibon , Roel Leus

Scheduling a set of jobs over a collection of machines is a fundamental problem that needs to be solved millions of times a day in various computing platforms: in operating systems, in large data clusters, and in data centers. Along with…

数据结构与算法 · 计算机科学 2018-07-10 Janardhan Kulkarni , Shi Li

We consider the robust permutation flowshop problem under the budgeted uncertainty model, where at most a given number of job processing times may deviate on each machine. We show that solutions for this problem can be determined by solving…

数据结构与算法 · 计算机科学 2026-05-26 Noam Goldberg , Danny Hermelin , Dvir Shabtay

We introduce a parallel machine scheduling problem in which the processing times of jobs are not given in advance but are determined by a system of linear constraints. The objective is to minimize the makespan, i.e., the maximum job…

数据结构与算法 · 计算机科学 2015-10-30 Kameng Nip , Zhenbo Wang , Zizhuo Wang

This paper studies the scheduling of jobs of different families on parallel machines with qualification constraints. Originating from semiconductor manufacturing, this constraint imposes a time threshold between the execution of two jobs of…

人工智能 · 计算机科学 2020-11-23 Margaux Nattaf , Arnaud Malapert

We study a scheduling problem in which jobs may be split into parts, where the parts of a split job may be processed simultaneously on more than one machine. Each part of a job requires a setup time, however, on the machine where the job…

数据结构与算法 · 计算机科学 2012-12-11 Frans Schalekamp , Rene Sitters , Suzanne van der Ster , Leen Stougie , Victor Verdugo , Anke van Zuylen

An important objective in scheduling literature is to minimize the sum of weighted flow times. We are given a set of jobs where each job is characterized by a release time, a processing time, and a weight. Our goal is to find a preemptive…

数据结构与算法 · 计算机科学 2022-08-08 Alexander Armbruster , Lars Rohwedder , Andreas Wiese

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

We consider a special case of the ordinary NP-hard two-machine flow shop problem with the objective of determining simultaneously a minimal common due date and the minimal number of tardy jobs. In [S. S. Panwalkar, C. Koulamas, An O(n^2)…

数据结构与算法 · 计算机科学 2015-03-16 Aleksandar Ilic

In this paper we consider the open shop scheduling problem where the jobs have delivery times. The minimization criterion is the maximum lateness of the jobs. This problem is known to be NP-hard, even restricted to only 2 machines. We…

数据结构与算法 · 计算机科学 2017-06-08 Imed Kacem , Christophe Rapine

Generalizing many well-known and natural scheduling problems, scheduling with job-specific cost functions has gained a lot of attention recently. In this setting, each job incurs a cost depending on its completion time, given by a private…

数据结构与算法 · 计算机科学 2014-03-07 Wiebke Höhn , Julián Mestre , Andreas Wiese

We consider the problem of scheduling jobs with equal lengths on uniform parallel batch machines with non-identical capacities where each job can only be processed on a specified subset of machines called its processing set. For the case of…

数据结构与算法 · 计算机科学 2017-08-22 Shuguang Li
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