2010
DOI: 10.1016/j.cie.2009.11.009
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A priori parallel machines scheduling

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Cited by 15 publications
(24 citation statements)
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“…In a previous work (see Bouyahia et al, 2010), we introduced a probabilistic generalization in which we consider the number of jobs as a random variable instead of defining it as a deterministic value. This random variable varies in ½1; n. More specifically, each job in the input has a probability of being present, independently from the others.…”
Section: Introductionmentioning
confidence: 99%
See 1 more Smart Citation
“…In a previous work (see Bouyahia et al, 2010), we introduced a probabilistic generalization in which we consider the number of jobs as a random variable instead of defining it as a deterministic value. This random variable varies in ½1; n. More specifically, each job in the input has a probability of being present, independently from the others.…”
Section: Introductionmentioning
confidence: 99%
“…In a previous work (Bouyahia et al, 2010), we introduced and studied the probabilistic generalization of the classical total weighted completion time problem. We defined two a priori strategies devoted to the incorporated problem on parallel identical machines (U A and U B ).…”
Section: Introductionmentioning
confidence: 99%
“…Sotskov et al [20] presented a number of approaches based on interval processing times for the evaluation of robustness and stability in a single-machine environment. Bouyahia et al [21] proposed a probable comprehensive approach for the robustness design of pre-scheduling, which assumed that the number of jobs to be processed on parallel machines was a random variable. They studied the total weighted ow time as an objective function.…”
Section: Literature Reviewmentioning
confidence: 99%
“…A relatively small example of solving 12 jobs on 5 machines is provided and the results are discussed. Bouyahia et al (2010) contribute to the parallel machine scheduling problem by addressing long-term robust optimization. Their goal is to design robust a priori schedules which on the long term horizon are optimal or suboptimal with respect to total weighted flow time.…”
Section: Machine Schedulingmentioning
confidence: 99%