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Scheduling linear deteriorating jobs to minimize makespan with an availability constraint on a single machine. (English) Zbl 1161.68367
Summary: The scheduling problem with deteriorating jobs to minimize the makespan on a single machine where the facility has an availability constraint is studied in this paper. By a deteriorating job we mean that the processing time for the job is a function of its starting time. Even with the introduction of the availability to a facility, the linear deteriorating model can be solved using the 0-1 integer programming technique if the actual job processing time is proportional to the starting time.

MSC:
68M20 Performance evaluation, queueing, and scheduling in the context of computer systems
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