Single machine batch scheduling with resource dependent setup and processing times

Jobs are processed by a single machine in batches. A batch is a set of jobs processed contiguously and completed together when the processing of all jobs in the batch is finished. Processing of a batch requires a machine setup time common for all batches. Both the job processing times and the setup...

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Vydané v:European journal of operational research Ročník 135; číslo 1; s. 177 - 183
Hlavní autori: Cheng, T.C.Edwin, Janiak, Adam, Kovalyov, Mikhail Y.
Médium: Journal Article
Jazyk:English
Vydavateľské údaje: Elsevier B.V 16.11.2001
Elsevier
Edícia:European Journal of Operational Research
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ISSN:0377-2217, 1872-6860
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Abstract Jobs are processed by a single machine in batches. A batch is a set of jobs processed contiguously and completed together when the processing of all jobs in the batch is finished. Processing of a batch requires a machine setup time common for all batches. Both the job processing times and the setup time can be compressed through allocation of a continuously divisible resource. Each job uses the same amount of the resource. Each setup also uses the same amount of the resource, which may be different from that for the jobs. Polynomial time algorithms are presented to find an optimal batch sequence and resource values such that either the total weighted resource consumption is minimized, subject to meeting job deadlines, or the maximum job lateness is minimized, subject to an upper bound on the total weighted resource consumption. The algorithms are based on linear programming formulations of the corresponding problems.
AbstractList Jobs are processed by a single machine in batches. A batch is a set of jobs processed contiguously and completed together when the processing of all jobs in the batch is finished. Processing of a batch requires a machine setup time common for all batches. Both the job processing times and the setup time can be compressed through allocation of a continuously divisible resource. Each job uses the same amount of the resource. Each setup also uses the same amount of the resource, which may be different from that for the jobs. Polynomial time algorithms are presented to find an optimal batch sequence and resource values such that either the total weighted resource consumption is minimized, subject to meeting job deadlines, or the maximum job lateness is minimized, subject to an upper bound on the total weighted resource consumption. The algorithms are based on linear programming formulations of the corresponding problems.
Author Cheng, T.C.Edwin
Kovalyov, Mikhail Y.
Janiak, Adam
Author_xml – sequence: 1
  givenname: T.C.Edwin
  surname: Cheng
  fullname: Cheng, T.C.Edwin
  organization: Department of Management, The Hong Kong Polytechnic University, Hung Hom, Kowloon, Hong Kong
– sequence: 2
  givenname: Adam
  surname: Janiak
  fullname: Janiak, Adam
  organization: Institute of Engineering Cybernetics, Technical University of Wroclaw, Wroclaw, Poland
– sequence: 3
  givenname: Mikhail Y.
  surname: Kovalyov
  fullname: Kovalyov, Mikhail Y.
  email: koval@newman.bas-net.by
  organization: Institute of Engineering Cybernetics, National Academy of Sciences of Belarus, Surganova 6, 220012 Minsk, Belarus
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Issue 1
Keywords Batching
Linear programming
Scheduling
Polynomial algorithm
Resource allocation
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Snippet Jobs are processed by a single machine in batches. A batch is a set of jobs processed contiguously and completed together when the processing of all jobs in...
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SubjectTerms Batching
Linear programming
Polynomial algorithm
Resource allocation
Scheduling
Title Single machine batch scheduling with resource dependent setup and processing times
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