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It Is Time to Get Some Rest
Baucells, Manel1; Zhao, Lin2
AbstractWe introduce the fatigue disutility model. Set in continuous time, the model formalizes the notion that fatigue accumulates with effort, decays with rest, and produces an increase in marginal instant disutility. The model is meant to be prescriptive, although it rationalizes several anomalies observed in time preference. Under very general conditions, the most efficient temporal profile of effort exhibits a high-low-high pattern. We consider a variant whereby marginal productivity decreases with fatigue, and we examine the optimal management of fatigue and productivity under various scenarios. We also reexamine the beneficial role of breaks in reducing fatigue. We bring the model to the data and provide a calibration that favorably predicts the speed profiles observed in swimming competitions.
Keyworddisutility effort fatigue time preferences scheduling athletic time trial
Funding ProjectNational Center for Mathematics and Interdisciplinary Sciences, Chinese Academy of Sciences ; National Science Foundation of China[71301161] ; National Science Foundation of China[71532013]
WOS Research AreaBusiness & Economics ; Operations Research & Management Science
WOS SubjectManagement ; Operations Research & Management Science
WOS IDWOS:000464941900015
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Document Type期刊论文
Corresponding AuthorBaucells, Manel
Affiliation1.Univ Virginia, Darden Sch Business, Charlottesville, VA 22906 USA
2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
Recommended Citation
GB/T 7714
Baucells, Manel,Zhao, Lin. It Is Time to Get Some Rest[J]. MANAGEMENT SCIENCE,2019,65(4):1717-1734.
APA Baucells, Manel,&Zhao, Lin.(2019).It Is Time to Get Some Rest.MANAGEMENT SCIENCE,65(4),1717-1734.
MLA Baucells, Manel,et al."It Is Time to Get Some Rest".MANAGEMENT SCIENCE 65.4(2019):1717-1734.
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