Two-agent scheduling with agent specific batches on an unbounded serial batching machine

We study a scheduling problem, in which jobs of two agents are performed in agent specific batches on the same serial unbounded batching machine. On this machine, jobs of the same batch complete simultaneously, and the batch processing time is equal to the total processing time of its jobs plus a se...

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Published in:	Journal of scheduling Vol. 18; no. 4; pp. 423 - 434
Main Authors:	Kovalyov, Mikhail Y., Oulamara, Ammar, Soukhal, Ameur
Format:	Journal Article
Language:	English
Published:	New York Springer US 01.08.2015 Springer Nature B.V Springer Verlag
Subjects:	Artificial Intelligence Batch processing Business and Management Calculus of Variations and Optimal Control; Optimization Computer Science Consolidation Customers Dynamic programming Functions (mathematics) Hierarchies Logistics Manufacturing Mathematical analysis Operations Research Operations Research/Decision Theory Optimization Polynomials Preventive maintenance Production scheduling Scheduling Serials Studies Supply Chain Management Multi-agent Scheduling Dynamic programming Serial batching machine Distribution center
ISSN:	1094-6136, 1099-1425
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Abstract	We study a scheduling problem, in which jobs of two agents are performed in agent specific batches on the same serial unbounded batching machine. On this machine, jobs of the same batch complete simultaneously, and the batch processing time is equal to the total processing time of its jobs plus a setup time. Each agent aims at minimizing a function which depends only on the completion times of its jobs. The problem is to find a schedule that minimizes the objective function of one agent, subject to the objective function of the other agent does not exceed a given threshold. The problem appears in optimizing product consolidation operations of a cross-docking distribution center. Polynomial and pseudo-polynomial dynamic programming algorithms are derived for settings with various combinations of the objective functions.
AbstractList	We study a scheduling problem, in which jobs of two agents are performed in agent specific batches on the same serial unbounded batching machine. On this machine, jobs of the same batch complete simultaneously, and the batch processing time is equal to the total processing time of its jobs plus a setup time. Each agent aims at minimizing a function which depends only on the completion times of its jobs. The problem is to find a schedule that minimizes the objective function of one agent, subject to the objective function of the other agent does not exceed a given threshold. The problem appears in optimizing product consolidation operations of a cross-docking distribution center. Polynomial and pseudo-polynomial dynamic programming algorithms are derived for settings with various combinations of the objective functions. Issue Title: Special Issue: New Perspectives in Scheduling Theory We study a scheduling problem, in which jobs of two agents are performed in agent specific batches on the same serial unbounded batching machine. On this machine, jobs of the same batch complete simultaneously, and the batch processing time is equal to the total processing time of its jobs plus a setup time. Each agent aims at minimizing a function which depends only on the completion times of its jobs. The problem is to find a schedule that minimizes the objective function of one agent, subject to the objective function of the other agent does not exceed a given threshold. The problem appears in optimizing product consolidation operations of a cross-docking distribution center. Polynomial and pseudo-polynomial dynamic programming algorithms are derived for settings with various combinations of the objective functions.
Author	Kovalyov, Mikhail Y. Oulamara, Ammar Soukhal, Ameur
Author_xml	– sequence: 1 givenname: Mikhail Y. surname: Kovalyov fullname: Kovalyov, Mikhail Y. organization: United Institute of Informatics Problems, National Academy of Sciences of Belarus – sequence: 2 givenname: Ammar surname: Oulamara fullname: Oulamara, Ammar email: oulamara@loria.fr organization: University of Lorraine – sequence: 3 givenname: Ameur surname: Soukhal fullname: Soukhal, Ameur organization: Laboratory of Computer Science (EA 6300), Team Scheduling and Control (ERL CNRS 6305), University François Rabelais - Tours
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Keywords	Multi-agent Scheduling Dynamic programming Serial batching machine Distribution center
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Snippet	We study a scheduling problem, in which jobs of two agents are performed in agent specific batches on the same serial unbounded batching machine. On this... Issue Title: Special Issue: New Perspectives in Scheduling Theory We study a scheduling problem, in which jobs of two agents are performed in agent specific...
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SubjectTerms	Artificial Intelligence Batch processing Business and Management Calculus of Variations and Optimal Control; Optimization Computer Science Consolidation Customers Dynamic programming Functions (mathematics) Hierarchies Logistics Manufacturing Mathematical analysis Operations Research Operations Research/Decision Theory Optimization Polynomials Preventive maintenance Production scheduling Scheduling Serials Studies Supply Chain Management
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Title	Two-agent scheduling with agent specific batches on an unbounded serial batching machine
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