Amortized analysis of some disk scheduling algorithms: SSTF, SCAN, andN-StepSCAN
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The amortized analysis is a useful tool for analyzing the time-complexity of performing a sequence of operations. The disk scheduling problem involves a sequence of requests in general. In this paper, the performances of representative disk scheduling algorithms,SSTF, SCAN, andN-StepSCAN, are analyzed in the amortized sense. A lower bound of the amortized complexity for the disk scheduling problem is also derived. According to our analysis,SCAN is not only better thanSSTF andN-StepSCAN, but also an optimal algorithm. Various authors have studied the disk scheduling problem based on some probability models and concluded that the most acceptable performance is obtained fromSCAN. Our result therefore supports their conclusion.
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- Amortized analysis of some disk scheduling algorithms: SSTF, SCAN, andN-StepSCAN
BIT Numerical Mathematics
Volume 32, Issue 4 , pp 546-558
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- amortized analysis
- disk scheduling
- on-line problem
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- Author Affiliations
- 1. Department of Computer Science and Information Engineering, National Chiao Tung University, Hsinchu, Taiwan, ROC
- 2. Department of Computer and Information Science, National Chiao Tung University, Hsinchu, Taiwan, ROC
- 3. Department of Computer Science, National Tsing Hua University, Hsinchu, Taiwan, ROC