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European Journal of Operational Research
Volume 175, Issue 1, 16 November 2006, Pages 376-384
 
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doi:10.1016/j.ejor.2005.03.049    How to Cite or Link Using DOI (Opens New Window)
Copyright © 2005 Elsevier B.V. All rights reserved.

Stochastics and Statistics

Seasonal clustering technique for time series data

Tasha R. InnissCorresponding Author Contact Information, a, E-mail The Corresponding Author

aDepartment of Mathematics, Spelman College, 350 Spelman Lane SW, Box 320, Atlanta, GA 30314-4399, USA

Received 24 June 2004; 
accepted 29 March 2005. 
Available online 10 August 2005.

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Abstract

In data mining, the unsupervised learning technique of clustering is a useful method for ascertaining trends and patterns in data. Most general clustering techniques do not take into consideration the time-order of data. In this paper, mathematical programming and statistical techniques and methodologies are combined to develop a seasonal clustering technique for determining clusters of time series data. We apply this technique to weather and aviation data to determine probabilistic distributions of arrival capacity scenarios, which can be used for efficient traffic flow management. In general, this technique may be used for seasonal forecasting and planning.

Keywords: Partitional clustering; Seasonal clustering; Set partitioning integer program; Empirical distribution function; Mean square ratio

Article Outline

1. Motivation for development of technique
2. Overview of clustering
3. Modeling seasonal clustering problem
4. Seasonal clustering approach
4.1. Determining seasonal clusters using GDP data
4.2. Determining seasonal clusters using fog weather data
5. Evaluating sets of seasons (computational results)
6. Conclusion
References



 
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