We consider the problem of scheduling a set of jobs on a single machine where the release time of a job is related to the amount of resource consumed. The objective is to minimize the total amount of resource consumed subject to a constraint on the sum of completion times of the jobs. We show that the problem is NP-hard in general and can be solved efficiently when the resource consumption function is linear. The parallel machine case is also discussed.
机构:
Henan Polytech Univ, Sch Math & Informat Sci, Jiaozuo 454000, Henan, Peoples R China
Zhengzhou Univ, Sch Math & Stat, Zhengzhou 450001, Henan, Peoples R ChinaHenan Polytech Univ, Sch Math & Informat Sci, Jiaozuo 454000, Henan, Peoples R China
Ma, Ran
Tao, Jiping
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Xiamen Univ, Dept Automat, Xiamen 361005, Fujian, Peoples R ChinaHenan Polytech Univ, Sch Math & Informat Sci, Jiaozuo 454000, Henan, Peoples R China
Tao, Jiping
Yuan, Jinjiang
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Zhengzhou Univ, Sch Math & Stat, Zhengzhou 450001, Henan, Peoples R ChinaHenan Polytech Univ, Sch Math & Informat Sci, Jiaozuo 454000, Henan, Peoples R China
机构:
Univ New S Wales, Australian Grad Sch Management, Sydney, NSW 2052, AustraliaUniv New S Wales, Australian Grad Sch Management, Sydney, NSW 2052, Australia
Anderson, EJ
Potts, CN
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机构:Univ New S Wales, Australian Grad Sch Management, Sydney, NSW 2052, Australia