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FEB Research Report KBI_1419

Publication date: 2014-09-01
Publisher: KU Leuven - Faculty of Economics and Business; Leuven (Belgium)

Author:

Wang, Jianjiang
Demeulemeester, Erik ; Qiu, Dishan

Keywords:

Earth observation satellites, Uncertainties of clouds, Proactive scheduling, Chance constraint programming, Sample approximation, Branch and cut

Abstract:

Most earth observation satellites (EOSs) are equipped with optical sensors, which cannot see through the clouds. Hence, observations are significantly affected and blocked by clouds. In this work, with the inspiration of the notion of a forbidden sequence, we propose a novel assignment formulation for EOS scheduling. Considering the uncertainties of clouds, we formulate the cloud coverage for observations as stochastic events, and extend the assignment formulation to a chance constraint programming (CCP) model. To solve the problem, we suggest a sample approximation (SA) method, which transforms the CCP model into an integer linear programming (ILP) model. Subsequently, a branch and cut (B&C) algorithm based on lazy constraint generation is developed to solve the ILP model. Finally, we conduct a lot of simulation experiments to verify the effectiveness and efficiency of our proposed formulation and algorithm.