Displaying similar documents to “On minimizing total tardiness in a serial batching problem”

Multicriteria scheduling problems : a survey

V. T'kindt, J.-C. Billaut (2001)

RAIRO - Operations Research - Recherche Opérationnelle

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This paper presents a state-of-the-art survey on multicriteria scheduling and introduces a definition of a multicriteria scheduling problem. It provides a framework that allows to tackle multicriteria scheduling problems, according to Decision Aid concepts. This problem is decomposed into three different problems. The first problem is about obtaining a model. The second one is how to take criteria into account and the third one is about solving a scheduling problem. An extension to an...

Single machine preemptive scheduling to minimize the weighted number of late jobs with deadlines and nested release/due date intervals

Valery S. Gordon, F. Werner, O. A. Yanushkevich (2001)

RAIRO - Operations Research - Recherche Opérationnelle

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This paper is devoted to the following version of the single machine preemptive scheduling problem of minimizing the weighted number of late jobs. A processing time, a release date, a due date and a weight of each job are given. Certain jobs are specified to be completed in time, i.e., their due dates are assigned to be deadlines, while the other jobs are allowed to be completed after their due dates. The release/due date intervals are nested, i.e., no two of them overlap (either they...

Scheduling problems with a common due window assignment: A survey

Adam Janiak, Tomasz Kwiatkowski, Maciej Lichtenstein (2013)

International Journal of Applied Mathematics and Computer Science

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In this article a survey of studies on scheduling problems with a common due window assignment and earliness/tardiness penalty functions is presented. A due window is a generalization of the classical due date and describes a time interval in which a job should be finished. If a job is completed before or after the due window, it incurs an earliness or a tardiness penalty, respectively. In this survey we separately analyse the classical models with job-independent and job-dependent earliness/tardiness...

An efficient ILP formulation for the single machine scheduling problem

Cyril Briand, Samia Ourari, Brahim Bouzouia (2010)

RAIRO - Operations Research

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This paper considers the problem of scheduling jobs on a single machine. A fixed processing time and an execution interval are associated with each job. Preemption is not allowed. On the basis of analytical and numerical dominance conditions, an efficient integer linear programming formulation is proposed for this problem, aiming at minimizing the maximum lateness ( ). Experiments have been performed by means of a commercial solver that show that this formulation...

Timed Petri-net based formulation and an algorithm for the optimal scheduling of batch plants

Tianlong Gu, Parisa Bahri, Guoyong Cai (2003)

International Journal of Applied Mathematics and Computer Science

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The effective scheduling of operations in batch plants has a great potential for high economic returns, in which the formulation and an optimal solution algorithm are the main issues of study. Petri nets have proven to be a promising technique for solving many difficult problems associated with the modelling, formal analysis, design and coordination control of discrete-event systems. One of the major advantages of using a Petri-net model is that the same model can be used for the analysis...

Scheduling jobs in open shops with limited machine availability

Jacek Błażewicz, Piotr Formanowicz (2002)

RAIRO - Operations Research - Recherche Opérationnelle

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In this paper, open shop scheduling problems with limited machine availability are studied. Such a limited availability of machines may appear in many real-life situations, e.g. as preventive maintenance activities. Three types of jobs are distinguished: non-preemptable, resumable and preemptable. An operation of a resumable job if not completed before a non-availability period of a machine may be suspended and continued without additional cost when the machine becomes available. In...