a single-machine scheduling problem with uncertainty in processing times and outsourcing costs

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ID: 183694
2017
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Abstract
We consider a single-machine scheduling problem with an outsourcing option in an environment where the processing time and outsourcing cost are uncertain. The performance measure is the total cost of processing some jobs in-house and outsourcing the rest. The cost of processing in-house jobs is measured as the total weighted completion time, which can be considered the operating cost. The uncertainty is described through either an interval or a discrete scenario. The objective is to minimize the maximum deviation from the optimal cost of each scenario. Since the deterministic version is known to be NP-hard, we focus on two special cases, one in which all jobs have identical weights and the other in which all jobs have identical processing times. We analyze the computational complexity of each case and present the conditions that make them polynomially solvable.
Reference Key
park2017mathematicala Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors ;Myoung-Ju Park;Byung-Cheon Choi
Journal journal of power sources
Year 2017
DOI
10.1155/2017/5791796
URL
http://dx.doi.org/10.1155/2017/5791796
Keywords
civil engineering (general)mathematics engineering (general)

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