Mathematical modeling of fatigue in physically demanding jobs |
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| Affiliation: | 1. University of Arkansas for Medical Sciences, College of Nursing, 4301 West Markham Street, Slot #529, Little Rock, AR 72205, USA;2. Arizona State University, College of Nursing and Health Innovation, 550 N. 3rd Street, Phoenix, AZ 85004, USA;1. Department of Physics and Astronomy and PITT PACC, University of Pittsburgh, 3941 O’Hara St., Pittsburgh, PA 15260, USA;2. Physics Department, University of Arizona, 1118 East 4th Street, Tucson, AZ 85721, USA;3. Astrophysics Group, Department of Physics & Astronomy, University College London, Gower Place, London WC1E 6BT, UK;4. Fermi National Accelerator Laboratory, MS 127, P.O. Box 500, Batavia, IL 60510, USA;5. Department of Physics, Stanford University, 382 Via Pueblo Mall, Stanford, CA 94305, USA;6. SLAC National Accelerator Laboratory, 2575 Sand Hill Road MS 29, Menlo Park, CA 94025, USA;7. UniversitéParis-Sud, LAL-IN2P3/CNRS, BP 34, 91898 Orsay Cedex, France;8. Lawrence Berkeley National Laboratory, 1 Cyclotron Rd, Berkeley, CA 94720, USA;9. Department of Physics and Astrophysics, University of North Dakota, Grand Forks, ND 58202, USA;10. National Optical Astronomy Observatories, 50 N. Cherry Avenue, P.O. Box 26732, Tucson, AZ 85726, USA;11. Department of Physics, New York University, 4 Washington Place, Room 424, New York, NY 10003, USA;12. Department of Physics and Astronomy, University of Missouri at Kansas City, 5110 Rockhill Road, Kansas City, MO 64110, USA;13. Department of Physics, The University of Utah, 115 S 1400 E, Salt Lake City, UT 84112, USA;14. Department of Astronomy, University of Illinois, 226 Astronomy Building, MC-221, 1002 W. Green St., Urbana, IL 61801, USA;15. Instituto Nacional de Investigaciones Nucleares (ININ), Apartado Postal 18-1027 Col. Escandón, México DF 11801, Mexico;p. Department of Astrophysical Sciences, Princeton University, 4 Ivy Lane, Peyton Hall, Princeton, NJ 08544, USA;q. Research School of Astronomy and Astrophysics, The Australian National University, Canberra, ACT 2611, Australia;s. Astronomical Observatory of the University of Geneva, ch. d’Ecogia 16, 1290 Versoix, Switzerland;t. Kavli Institute for Particle Astrophysics and Cosmology, 452 Lomita Mall, Stanford University, Stanford, CA 94305, USA;u. Depto. de Fisica Teorica and Instituto Avanzado de Cosmologia (IAC), UNAM, Mexico City, Mexico;v. Department of Physics, Brown University, Box 1843, 182 Hope Street, Providence, RI 02912, USA;w. Department of Astronomy and Steward Observatory, University of Arizona, 933 North Cherry Avenue, Tucson, AZ 85721, USA;x. Department of Physics & Astronomy, Rutgers, The State University of New Jersey, 136 Frelinghuysen Rd., Piscataway, NJ 08854, USA;y. NASA Goddard Space Flight Center, Greenbelt, MD 2077, USA;z. Department of Astronomy & Astrophysics, The Pennsylvania State University, 525 Davey Lab, University Park, PA 16802, USA;11. Department of Physics and Astronomy, York University, 4700 Keel Street, Toronto, ON, Canada;12. Yale Center for Astronomy & Astrophysics, Yale University, New Haven, CT, USA;13. Argelander-Institut für Astronomie, Auf dem Hügel 71, 53121 Bonn, Germany;14. Department of Astronomy, The Ohio State University, 140 West 18th Avenue, Columbus, OH 43210, USA;15. McWilliams Center for Cosmology, Carnegie Mellon University, 5000 Forbes Avenue, Pittsburgh, PA 15213, USA;16. Department of Physics, The Ohio State University, 140 West 18th Avenue, Columbus, OH 43210, USA;17. Department of Physics, University of Michigan, 450 Church St., Ann Arbor, MI 48109, USA;18. Astronomy Department, University of Washington, PAB 357, 3910 15th Ave NE, Seattle, WA, USA;19. Laboratoire d’Astrophysique, Ecole Polytechnique Fédérale de Lausanne (EPFL), Observatoire de Sauverny, CH-1290 Versoix, Switzerland;110. Laboratoire d’Astrophysique de Marseille – LAM, Université d’Aix-Marseille & CNRS, UMR7326, 38 rue F. Joliot-Curie, 13388 Marseille Cedex, France;111. Department of Physics & Astronomy, Texas A& M University, College Station, TX 77843, USA;112. Department of Physics and Astronomy, Johns Hopkins University, Baltimore, MD 21218, USA;113. Institut de Fisica d’Altes Energies (IFAE), Edifici Cn, Universitat Autonoma de Barcelona, E-08193 Bellaterra (Barcelona), Spain;114. Department of Physics and Astronomy, Siena College, 515 Loudon Road, Loudonville, NY 12211, USA;115. Department of Physics & Astronomy, University of Wyoming, 1000 E. University, Dept.3905, Laramie, WY 82071, USA;1p. Institute for Astronomy, University of Edinburgh, Royal Observatory, Edinburgh EH9 3HJ, UK;1q. School of Physics, Korea Institute for Advanced Study, 85 Hoegiro, Dongdaemun-gu, Seoul 130-722, Korea;1r. Jet Propulsion Laboratory, California Institute of Technology, 4800 Oak Grove Drive, Pasadena, CA 91109, USA;1s. Laboratoire de Physique Subatomique et de Cosmologie Grenoble, 53 rue des Martyrs, 38026 Grenoble Cedex, France;1t. Brookhaven National Laboratory, P.O. Box 5000, Upton, NY 11973-5000, USA;1u. Department of Physics, University of California, One Shields Ave., Davis, CA 95616, USA |
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| Abstract: | This paper applies catastrophe modeling to fatigue resulting from physically demanding work. It is shown that the cusp model is essentially the same as a mathematical model for behavioral fatigue originally proposed by Ioteyko (1920, La fatigue [Fatigue] (2nd ed.), Paris: Flammarion). The test of the model was nested in a standard personnel selection problem involving 129 employees of a Midwest manufacturer. Dynamometer measurements of arm, back, and leg strength were collected before and after a simulated task sequence, along with measurements of height, weight, body fat, and exercise habits. The cusp model for arm strength was substantially more accurate than linear modeling alternatives. Several variables were implicated in the process. The results argue in favor of the proposed paradigm for studying fatigue. |
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