Flow shop and open shop scheduling with a critical machine and two operations per job

Flow shop and open shop scheduling with a critical machine and two operations per job

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Article ID: iaor20011784
Country: Netherlands
Volume: 127
Issue: 1
Start Page Number: 120
End Page Number: 125
Publication Date: Nov 2000
Journal: European Journal of Operational Research
Authors: ,
Keywords: flowshop
Abstract:

This paper develops polynomial time algorithms to solve the m machine flow shop and open shop makespan problems with a critical machine (that processes all jobs) and at most two operations per job under certain assumptions. In the flow shop case, an O(m(nlogn + logm)) algorithm is developed (where n is the number of jobs) assuming that all jobs that require processing on the same subset of machines are contiguously processed. In the open shop case, O(n + mlogm) algorithm is developed assuming that the load on the critical machine exceeds the load on any other machine.

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