Scheduling in the presence of processor networks : complexity
          and approximation

Vincent Boudet; Johanne Cohen; Rodolphe Giroudeau; Jean-Claude König

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Displaying similar documents to “Scheduling in the presence of processor networks : complexity and approximation”

Scheduling in the presence of processor networks : complexity and approximation

Vincent Boudet, Johanne Cohen, Rodolphe Giroudeau, Jean-Claude König (2012)

RAIRO - Operations Research

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In this paper, we study the problem of makespan minimization for the multiprocessor scheduling problem in the presence of communication delays. The communication delay between two tasks and depends on the distance between the two processors on which these two tasks are executed. Lahlou shows that a simple polynomial-time algorithm exists when the length of the schedule is at most two (the problem becomes 𝒩𝒫-complete when the length...

Une méthode tabou pour l'ordonnancement multiprocesseur avec délais de communication

Dalila Tayachi, Philippe Chrétienne, Khaled Mellouli (2010)

RAIRO - Operations Research

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This paper deals with the problem of scheduling tasks on identical processors in the presence of communication delays. A new approach of modelisation by a decision graph and a resolution by a tabu search method is proposed. Initial solutions are constructed by list algorithms, and then improved by a tabu algorithm operating in two phases. The experiments carried on arbitrary graphs show the efficiency of our method and that it outperformed the principle existent heuristics. ...

On the hardness of approximating the UET-UCT scheduling problem with hierarchical communications

Evripidis Bampis, R. Giroudeau, J.-C. König (2010)

RAIRO - Operations Research

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We consider the unit execution time unit communication time (UET-UCT) scheduling model with hierarchical communica tions [CITE], and we study the impact of the hierarchical communications hypothesis on the hardness of approximation. We prove that there is no polynomial time approximation algorithm with performance guarantee smaller than (unless ). This result is an extension of the result of Hoogeveen [CITE] who proved that there is no polynomial time -approximation algorithm with...

Job shop scheduling with unit length tasks

Meike Akveld, Raphael Bernhard (2012)

RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications

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In this paper, we consider a class of scheduling problems that are among the fundamental optimization problems in operations research. More specifically, we deal with a particular version called . Using the results of Hromkovič, Mömke, Steinhöfel, and Widmayer presented in their work , we analyze the problem setting for 2 jobs with an unequal number of tasks. We contribute a deterministic algorithm which achieves a vanishing delay in certain cases and a randomized algorithm with a competitive...

Job shop scheduling with unit length tasks

Meike Akveld, Raphael Bernhard (2012)

RAIRO - Theoretical Informatics and Applications

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Scheduling an interval ordered precedence graph with communication delays and a limited number of processors

Alix Munier Kordon, Fadi Kacem, Benoît Dupont de Dinechin, Lucian Finta (2013)

RAIRO - Operations Research - Recherche Opérationnelle

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We consider the scheduling of an interval order precedence graph of unit execution time tasks with communication delays, release dates and deadlines. Tasks must be executed by a set of processors partitioned into classes; each task requires one processor from a fixed class. The aim of this paper is to study the extension of the Leung–Palem–Pnueli (in short LPP) algorithm to this problem. The main result is to prove that the LPP algorithm can be extended to dedicated processors and monotone...

Minimizing the Earliness and Tardiness Cost of a Sequence of Tasks on a Single Machine

Philippe Chrétienne (2010)

RAIRO - Operations Research

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Assume that tasks must be processed by one machine in a fixed sequence. The processing time, the preferred starting time and the earliness and tardiness costs per time unit are known for each task. The problem is to allocate each task a starting time such that the total cost incurred by the early and tardy tasks is minimum. Garey have proposed a nice log) algorithm for the special case of symmetric and task-independent costs. In this paper we first extend that algorithm to...

New algorithms for coupled tasks scheduling – a survey

Jacek Blazewicz, Grzegorz Pawlak, Michal Tanas, Wojciech Wojciechowicz (2012)

RAIRO - Operations Research - Recherche Opérationnelle

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The coupled tasks scheduling problem is a class of scheduling problems introduced for beam steering software of sophisticated radar devices, called phased arrays. Due to increasing popularity of such radars, the importance of coupled tasks scheduling is constantly growing. Unfortunately, most of the coupled tasks problems are NP-hard, and only a few practically usable algorithms for such problems were found. This paper provides a survey of already known complexity results of various...

An Improved Algorithm for a Bicriteria Batching Scheduling Problem

Cheng He, Xiumei Wang, Yixun Lin, Yundong Mu (2013)

RAIRO - Operations Research - Recherche Opérationnelle

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This note is concerned with the bicriteria scheduling problem on a series-batching machine to minimize maximum cost and makespan. An ( ) algorithm has been established previously. Here is an improved algorithm which solves the problem in ( ) time.

On the application of insertion techniques for job shop problems with setup times

Yuri N. Sotskov, Thomas Tautenhahn, Frank Werner (2010)

RAIRO - Operations Research

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Constructive heuristics for shop scheduling problems are often based on priority (or dispatching) rules. However, recent work has demonstrated that insertion algorithms that step by step insert operations or jobs into partial schedules usually clearly outperform priority rules. In this paper, we consider various job shop scheduling problems with setup times. For each job a specific technological route and a release date are given. Moreover, the jobs are partitioned into groups. A sequence...