@inproceedings{40d9acf32cdd4e9582f241d830bd6a29,

title = "Minimizing the sum of completion times with resource dependant times",

abstract = "We extend the classical minimization sum of completion times problem to the case where the processing times are controllable by allocating a nonrenewable resource. The quality of a solution is measured by two different criteria. The first criterion is the sum of completion times and the second is the total weighted resource consumption. We consider four different problem variations for treating the two criteria. We prove that this problem is NP-hard for three of the four variations even if all resource consumption weights are equal. However, somewhat surprisingly, the variation of minimizing the integrated objective function is solvable in polynomial time. Although the sum of completion times is arguably the most important scheduling criteria, the complexity of this problem, up to this paper, was an open question for three of the four variations. The results of this research have various implementations, including efficient battery usage on mobile devices such as mobile computer, phones and GPS devices in order to prolong their battery duration.",

keywords = "Complexity, Controllable processing times, Resource allocation, Scheduling",

author = "Liron Yedidsion and Dvir Shabtay and Moshe Kaspi",

year = "2008",

month = nov,

day = "12",

doi = "10.1063/1.3008683",

language = "English",

isbn = "9780735405813",

series = "AIP Conference Proceedings",

pages = "292--297",

booktitle = "International Conference on Power Control and Optimization",

note = "International Conference on Power Control and Optimization, PCO 2008 ; Conference date: 18-07-2008 Through 20-08-2008",

}