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Coherent quality management for big data systems: a dynamic approach for stochastic time consistency

Abstract

Big data systems for reinforcement learning have often exhibited problems (e.g., failures or errors) when their components involve stochastic nature with the continuous control actions of reliability and quality. The complexity of big data systems and their stochastic features raise the challenge of uncertainty. This article proposes a dynamic coherent quality measure focusing on an axiomatic framework by characterizing the probability of critical errors that can be used to evaluate if the conveyed information of big data interacts efficiently with the integrated system (i.e., system of systems) to achieve desired performance. Herein, we consider two new measures that compute the higher-than-expected error,—that is, the tail error and its conditional expectation of the excessive error (conditional tail error)—as a quality measure of a big data system. We illustrate several properties (that suffice stochastic time-invariance) of the proposed dynamic coherent quality measure for a big data system. We apply the proposed measures in an empirical study with three wavelet-based big data systems in monitoring and forecasting electricity demand to conduct the reliability and quality management in terms of minimizing decision-making errors. Performance of using our approach in the assessment illustrates its superiority and confirms the efficiency and robustness of the proposed method.

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Notes

  1. 1.

    These are layers of hardware, firmware, software applications, operating platforms, and networks that make up IT architecture.

  2. 2.

    A six sigma process is one in which 99.99966% of all opportunities are statistically expected to be free of defects (i.e., 3.4 defective features per million opportunities).

  3. 3.

    PTC white paper. PTC is a global provider of technology platforms and solutions that transform how companies create, operate, and service the “things” in the Internet of Things (IoT). See www.ptc.com.

  4. 4.

    See www.rte-france.com.

  5. 5.

    Not because of making a round number.

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Acknowledgements

The authors would like to thank the three anonymous reviewers and the guest editor for providing valuable comments. This work was supported in part by the Ministry of Science and Technology (MOST) under Grant 106-2221-E-009-006 and Grant 106-2221-E-009-049-MY2, in part by the “Aiming for the Top University Program” of National Chiao Tung University and the Ministry of Education, Taiwan, and in part by Academia Sinica AS-105-TP-A07 and Ministry of Economic Affairs (MOEA) 106-EC-17-A-24-0619.

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Correspondence to Edward W. Sun.

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Chen, YT., Sun, E.W. & Lin, YB. Coherent quality management for big data systems: a dynamic approach for stochastic time consistency. Ann Oper Res 277, 3–32 (2019). https://doi.org/10.1007/s10479-018-2795-1

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Keywords

  • Big data
  • Dynamic coherent measure
  • Optimal decision
  • Quality management
  • Time consistency

JEL Classification

  • C02
  • C10
  • C63