Scheduling linear deteriorating jobs with an availability constraint on a single machine
نویسندگان
چکیده
منابع مشابه
Scheduling linear deteriorating jobs with an availability constraint on a single machine
We consider a single machine scheduling problem in which the processing time of a job is a simple linear increasing function of its starting time and the machine is subject to an availability constraint. We consider the non-resumable case. The objectives are to minimize the makespan and the total completion time. We show that both problems are NP-hard and present pseudo-polynomial time optimal ...
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We consider a single-machine scheduling problem in which the processing time of each job is a simple linear deteriorating function of its waiting time. The machine is subject to an availability constraint. Jobs interrupted by machine unavailability can resume their processing. The objective is to minimize the makespan. We first show that the problem can be solved optimally by 0–1 integer progra...
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This paper considers the single machine scheduling problem with precedence constraints and deteriorating jobs. A mathematical model based on binary integer programming (BIP) is developed. By these precedence constraints, jobs can not start before completion of its all predecessors. The represented model is in two steps, in step one the earliest starting time of each job is computed, then the re...
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متن کاملSingle Machine Scheduling Problem with Precedence Constraints and Deteriorating Jobs
This paper considers the single machine scheduling problem with precedence constraints and deteriorating jobs and a mathematical model based on binary integer programming (BIP) is developed. Since the precedence constraints exist, a job cannot start before completion of its all predecessors. The proposed model consists of two steps: in the first step, the earliest starting time of each job is c...
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ژورنال
عنوان ژورنال: Theoretical Computer Science
سال: 2006
ISSN: 0304-3975
DOI: 10.1016/j.tcs.2006.06.006