Scheduling jobs with position and sum-of-processing-time based processing times
نویسندگان
چکیده
منابع مشابه
Scheduling jobs with position and sum-of-processing-time based processing times
The paper is devoted to some single-machine scheduling problems with variable job processing times. The objectives are to minimize the makespan (i.e., the maximum completion time of all jobs), and to minimize the total completion time. For some special cases, we show that these problems can be solved in polynomial time. For some another special cases of the makespan and the total completion tim...
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The single-machine scheduling problems with position and sum-of-processing-time based processing times are considered. The actual processing time of a job is defined by function of its scheduled position and total normal processing time of jobs in front of it in the sequence. We provide optimal solutions in polynomial time for some special cases of the makespan minimization and the total comple...
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Whereas the overwhelming majority of scheduling problems appears to be NP-hard, models with equal processing time jobs form a remarkable case which is still open for most problems but it intuitively looks polynomially solvable. The basic scheduling problem we are dealing with is the following. There are n jobs, each requiring an identical execution time p. There are associated a release time rj...
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In this paper we introduce a new scheduling model with learning effects in which the actual processing time of a job is a function of the total normal processing times of the jobs already processed and of the job’s scheduled position. We show that the single-machine problems to minimize makespan and total completion time are polynomially solvable. In addition, we show that the problems to minim...
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ژورنال
عنوان ژورنال: Applied Mathematical Modelling
سال: 2015
ISSN: 0307-904X
DOI: 10.1016/j.apm.2014.12.021