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Online Work-Break Problem and its Competitive Analysis

Author

Listed:
  • Weimin Ma

    (School of Economics and Management, Tongji University, Tongji A-Building, No. 1239 Siping Road, Yangpu District, Shanghai, P. R. China)

  • Xiaodong Ji

    (School of Economics and Management, Tongji University, Pengyard 4#, No. 4800 Caoan Road, Jiading District, Shanghai, P. R. China)

Abstract

An original online problem with decreasing profit growth rate is proposed to optimize the work hours of employees, named the online work-break problem (WBP). In this problem, the manager has to answer for an abstract worker when he should have a break for his work efficiency declines with the durative time of work period. The efficiency of the worker is presented by a work efficiency function P(t) in the description of our problem. We present the online algorithms to solve the WBP based on linear estimation of P(t) under two levels. Both the problems with single-period and dynamic multi-periods have 2-competitive online algorithms.

Suggested Citation

  • Weimin Ma & Xiaodong Ji, 2016. "Online Work-Break Problem and its Competitive Analysis," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 33(02), pages 1-17, April.
    • Handle: RePEc:wsi:apjorx:v:33:y:2016:i:02:n:s0217595916500111
    DOI: 10.1142/S0217595916500111
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    References listed on IDEAS

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    1. Bruce Philp & Gary Slater & David Harvie, 2005. "Preferences, Power, and the Determination of Working Hours," Journal of Economic Issues, Taylor & Francis Journals, vol. 39(1), pages 75-90, March.
    2. Stavros Mavroudeas & Alexis Ioannides, 2011. "Duration, Intensity and Productivity of Labour and the Distinction between Absolute and Relative Surplus-value," Review of Political Economy, Taylor & Francis Journals, vol. 23(3), pages 421-437.
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    Cited by:

    1. Weimin Ma & Wei Shao & Xiaodong Ji, 2018. "Dynamic work hour optimization for casual workers," Journal of Combinatorial Optimization, Springer, vol. 35(4), pages 1185-1201, May.

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