An approximation algorithm based on game theory for scheduling simple linear deteriorating jobs
نویسندگان
چکیده
منابع مشابه
An 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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Traditional scheduling assumes that the processing time of a job is fixed. Yet there are numerous situations that the processing time increases (deteriorates) as the start time increases. Examples include scheduling cleaning or maintenance, fire fighting, steel production and financial management. Scheduling of deteriorating jobs was first introduced on a single machine by Browne and Yechiali, ...
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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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متن کاملScheduling Linearly Deteriorating Jobs on Multiple Machines
This paper investigates the scheduling problems in which the job processing times do not remain constant but are increasing linear functions of their starting times. Two deteriorating scheduling models, Model 1 and Model 2, for multiple machines are considered, with the goal being to minimize the makespan. In this paper, we propose an efficient heuristic for Model 1 and prove that the ratio of ...
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ژورنال
عنوان ژورنال: Theoretical Computer Science
سال: 2014
ISSN: 0304-3975
DOI: 10.1016/j.tcs.2014.05.023