An improved approximation scheme for scheduling a maintenance and proportional deteriorating jobs
نویسندگان
چکیده
منابع مشابه
Scheduling Resumable Deteriorating Jobs
We consider the following single-machine time-dependent scheduling problem with constraints on the machine availability. There is given a set of independent and deteriorating jobs Jj , 1 ≤ j ≤ n, to be processed on a single machine, starting from time t0 > 0. The processing time pj of job Jj is a proportional function of the starting time Sj of this job, pj = αjSj, where Sj ≥ t0 and deteriorati...
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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 کاملAn approximation algorithm based on game theory for scheduling simple linear deteriorating jobs
Article history: Received 5 August 2013 Received in revised form 2 May 2014 Accepted 28 May 2014 Communicated by D.-Z. Du
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In this paper we consider a single machine scheduling problem with deteriorating jobs. By deteriorating jobs, we mean that the processing time of a job is a simple linear function of its execution starting time. For the jobs with chain precedence constraints, we prove that the weighted sum of squared completion times minimization problem with strong chains and weak chains can be solved in polyn...
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ژورنال
عنوان ژورنال: Journal of Industrial and Management Optimization
سال: 2015
ISSN: 1547-5816
DOI: 10.3934/jimo.2016.12.811