The Depletion-Power-Integration-Latency (DPIL) model of spaced and massed repetition

Computers and Industrial Engineering

Volumn 63, Issue 1, 2012, Pages 323-337

  Sikström, Sverker ^a   Jaber, Mohamad Y ^b  

^a LUND UNIVERSITY   (Sweden)

^b RYERSON UNIVERSITY   (Canada)

Author keywords

Depletion; Forgetting; Learning; Mathematical model; Novelty; Spaced massed practice

Indexed keywords

DEPLETION; FORGETTING; LEARNING; NOVELTY; SPACED/MASSED PRACTICE;

ENGINEERING; INDUSTRY;

MATHEMATICAL MODELS;

EID: 84859731290     PISSN: 03608352     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cie.2012.03.005     Document Type: Article

References (75)

1. J.A. Adams The second facet of forgetting: A review of warm-up decrement Psychological Bulletin 58 4 1961 257 273
2. H. Akaike A new look at the statistical model identification IEEE Transactions on Automatic Control 19 6 1974 716 723
3. J.R. Anderson Acquisition of cognitive skill Psychological Review 89 4 1982 369 403
4. J.R. Anderson Rules of the mind 1993 Erlbaum Hillsdale, NJ
5. Anderson, R. B. (1998). Rational and non-rational aspects of forgetting. In M. Oaksford, & N. Chater (Eds.), Rational models of, cognition (pp. 156-164).
6. J.R. Anderson, J.M. Fincham, and S. Douglass Practice and retention: A unifying analysis Journal of Experimental Psychology: Learning, Memory, & Cognition 25 5 1999 1120 1136
7. J.R. Anderson, and C. Lebiere The atomic components of thought 1998 Lawrence Erlbaum Associates Mahwah, NJ
8. J.R. Anderson, and L.J. Schooler Reflections of the environment in memory Psychological Science 2 6 1991 396 408
9. R.B. Anderson, and R.D. Tweney Artifactual power curves in forgetting Memory & Cognition 25 5 1997 724 730
10. Y. Arzi, and A. Shtub Learning and forgetting in mental and mechanical tasks: A comparative study IIE Transactions 29 9 1997 759 768
11. A.D. Baddeley, and D.J.A. Longman The influence of length and frequency on training sessions on the rate of learning to type Ergonomics 21 8 1978 627 635
12. C.D. Bailey Forgetting and the learning curve: A laboratory study Management Science 35 3 1989 346 352
13. J.G. Carlson, and R.G. Rowe How much does forgetting cost? Industrial Engineering 8 9 1976 40 47
14. N.J. Cepeda, N. Coburn, D. Rohrer, J.T. Wixted, M.C. Mozer, and H. Pashler Optimizing distributed practice. Theoretical analysis and practical implications Experimental Psychology 56 4 2009 236 246
15. N.J. Cepeda, H. Pashler, E. Vul, J.T. Wixted, and D. Rohrer Distributed practice in verbal recall tasks: A review and quantiative synthesis Psychological Bulletin 132 3 2006 354 380
16. N.J. Cepeda, E. Vul, D. Rohrer, J.T. Wixted, and H. Pashler Spacing effects in learning: A temporal ridgeline of optimal retention Psychological Science 19 11 2008 1095 1102
17. R.A. Chechile Memory hazard functions: A vehicle for development and test Psychological Review 113 1 2006 31 56
18. J.J. Donovan, and D.J. Radosevich A meta-analytic review of the distribution of practice effect: Now you see it, now you don't Journal of Applied Psychology 84 5 1999 795 805
19. S.E. Elmaghraby Economic manufacturing quantities under conditions of learning and forgetting (EMQ/LaF) Production Planning & Control 1 4 1990 196 208
20. W.K. Estes The problem of interferences from curves based on group data Psychological Bulletin 53 2 1956 134 140
21. A.M. Glenberg Monotonic and nonmonotonic lag effects in paired-associate and recognition memory paradigms Journal of Verbal Learning and Verbal Behavior 15 1 1976 1 16
22. A.M. Glenberg Component-levels theory of the effects of spacing of repetitions on recall and recognition Memory & Cognition 7 2 1979 95 112
23. A.M. Glenberg, and T.S. Lehmann Spacing repetitions over 1 week Memory & Cognition 8 6 1980 528 538
24. S. Globerson, N. Levin, and A. Shtub The impacts of breaks on forgetting when performing a repetitive task IIE Transactions 21 4 1989 376 381
25. A. Heathcote, S. Brown, and D.J. Mewhort Repealing the power law: The case for an exponential law of practice Psychonomic Bulletin and Review 7 2 2000 185 207
26. E.J. Hertenstein Goal orientation and practice condition as predictors of training results Human Resource Development Quarterly 12 4 2001 403 419
27. D. Hewitt, K. Sprague, R. Yearout, D. Lisnerski, and C. Sparks The effects of unequal relearning rates on estimating forgetting parameters associated with performance curves International Journal of Industrial Ergonomics 10 3 1992 217 224
28. M.Y. Jaber Learning curves: Theory, models, and applications 2011 CRC Press Baco Raton, FL
29. M.Y. Jaber Learning and forgetting models and their applications A.B. Badiru, Handbook of industrial & systems engineering 2006 CRC Press Baco Raton, FL 1 27
30. M.Y. Jaber, and M.C. Bonney Production breaks and the learning curve: The forgetting phenomena Applied Mathematical Modelling 20 2 1996 162 169
31. M.Y. Jaber, H.V. Kher, and D. Davis Countering forgetting through training and deployment International Journal of Production Economics 85 1 2003 33 46
32. M.Y. Jaber, and S. Sikström A note on: An empirical comparison of forgetting models IEEE Transactions on Engineering Management 51 2 2004 233 234
33. A. Jost Die Assoziationsfestigkeit in ihrer Abhängigkeit von der Verteilung der Wiederholungen [The strength of associations in their dependence on the distribution of repetitions] Zeitschrift fur Psychologie und Physiologie der Sinnesorgane 16 1897 436 472
34. H.V. Kher, M.K. Malhotra, P.R. Philipoom, and T.D. Fry Modeling simultaneous worker learning and forgetting in dual constrained systems European Journal of Operational Research 115 1 1999 158 172
35. T.D. Lee, and E.D. Genovese Distribution of practice in motor skill acquisition: Learning and performance effects reconsidered Research Quarterly 59 4 1988 277 287
36. K. Malmberg, and R.M. Shiffrin The "One-Shot" hypothesis for context storage Journal of Experimental Psychology: Learning, Memory, & Cognition 31 2 2005 322 336
37. J.E. Mazur, and R. Hastie Learning as accumulation: A re-examination of the learning curve Psychological Bulletin 85 6 1978 1256 1274
38. A.W. Melton The situation with respect to the spacing of repetitions and memory Journal of Verbal Learning and Verbal Behavior 9 1970 596 606
39. G.-J.M. Mensink, and J.G.W. Raaijmakers A model for contextual fluctuation Journal of Mathematical Psychology 33 2 1989 161 189
40. Metcalfe, J. (1993a). Monitoring and gain control in an episodic memory model: Relation to the P300 event-related potential. In S. E. G. Alan, F. Collins, Martin A. Conway, & Peter E. Morris (Eds.), Theories of memory (pp. 327-353). Hove, East Sussex: Lawrence Erlbaum Associates.
41. J. Metcalfe Novelty monitoring, metacognition, and control in a composite holographicassociative recall model Psychological Review 100 1 1993 3 22
42. M.D. Mumford, D.P. Costanza, W.A. Baughman, K.V. Threlfall, and E.A. Fleishman Influence of abilities on performance during practice. Effects of massed and distributed practice Journal of Educational Psychology 86 1 1994 134 144
43. D.A. Nembhard, and N. Osothsilp An empirical comparison of forgetting models IEEE Transactions on Engineering Management 48 3 2001 283 291
44. D. Nembhard, and M. Uzumeri An individual-based description of learning within an organization IEEE Transactions on Engineering Management 47 2 2000 370 378
45. A. Newell, and P.S. Rosenbloom Mechanism of skill acquisition and the law of practice J.R. Anderson, Cognitive skills and the their acquisition 1981 Lawrence Erlbaum Associates Hillsdale, NJ 1 55
46. R.M. Nosofsky, and T.J. Palmeri An exemplar-based random walk model of speeded classification Psychological Review 104 2 1997 266 300
47. T.J. Palmeri Exemplar similarity and the development of automaticity Journal of Experimental Psychology: Learning, Memory, and Cognition 23 2 1997 324 354
48. T.J. Palmeri Theories of automaticity and the power law of practice Journal of Experimental Psychology: Learning, Memory, & Cognition 25 2 1999 543 551
49. P.I. Pavlik, and J.R. Anderson Practice and forgetting effects on vocabulary memory Cognitive Science 29 4 2005 559 586
50. L. Postman Experimental analysis of learning to learn G.H. Bower, J.T. Spence, Psychology of learning and motivation Vol. 3 1969 Academic Press New York, NY 241 297
51. J.G.W. Raaijmakers Spacing and repetition effects in human memory: Application of the SAM model Cognitive Science 27 3 2003 431 452
52. R. Ratcliff A theory of memory retrieval Psychological Review 83 2 1978 59 108
53. R. Ratcliff, and B.B. Murdock Retrieval processes in recognition memory Psychological Review 83 3 1976 190 214
54. R. Ratcliff, T. Van Zandt, and G. McKoon Connectionist and diffusion models of reaction time Psychological Review 106 2 1999 261 300
55. T.C. Rickard Bending the power law: A CMPL theory of strategy shifts and the automatization of cognitive skills Journal of Experimental Psychology: General 126 3 1997 288 311
56. T.C. Rickard A CMPL alternative account of practice effects in numerosity judgment tasks Journal of Experimental Psychology: Learning, Memory, and Cognition 25 2 1999 532 542
57. S. Roberts, and H. Pashler How persuasive is a good fit? A comment on theory testing in psychology Psychological Review 107 2 2000 358 367
58. D.C. Rubin On the retention function for autobiographical memory Journal of Verbal Learning and Verbal Behavior 21 1 1982 21 38
59. D.C. Rubin, S. Hinton, and A. Wenzel The precise time course of retention Journal of Experimental Psychology: Learning, Memory, and Cognition 25 5 1999 1161 1176
60. D.C. Rubin, and A.E. Wenzel One hundred years of forgetting: A quantitative description of retention Psychological Review 103 4 1996 734 760
61. M.T. Scharf, N.H. Woo, K.M. Lattal, J.Z. Young, P.V. Nguyen, and T. Abel Protein synthesis is required for the enhancement of long-term potentiation and long-term memory by spaced training Journal of Neurophysiology 87 6 2002 2770 2777
62. R.A. Schmidt Motor control and learning: A behavioral emphasis 1988 Human Kinetics Champaign, IL
63. B.L. Schwartz Sources of information in metamemory: Judgments of learning and feelings of knowing Psychonomic Bulletin & Review 1 3 1994 357 375
64. M. Sidman A note on the functional relations obtained from group data Psychological Bulletin 49 3 1952 263 269
65. S. Sikström Forgetting curves: Implications for connectionist models Cognitive Psychology 45 1 2002 95 152
66. S. Sikström The variance reaction time model Cognitive Psychology 48 4 2004 371 421
67. S. Sikström, and M.Y. Jaber The Power Integration Diffusion (PID) model for production breaks Journal of Experimental Psychology: Applied 8 2 2002 118 126
68. S. Sikström, and F. Jönsson A model for stochastic drift in memory strength to account for judgments of learning Psychological Review 112 4 2005 932 950
69. M.P. Walker A refined model of sleep and the time course of memory formation Behavioral and Brain Sciences 28 1 2005 51 104
70. W.A. Wickelgren Trace resistance and the decay of long-term memory Journal of Mathematical Psychology 9 4 1972 418 455
71. J.D. Wisner A study of US machine shops with just-in-time customers International Journal of Operations and Production Management 16 7 1996 62 76
72. J.T. Wixted On common ground: Jost's (1897) law of forgetting and Ribot's (1881) law of retrograde amnesia Psychological Review 111 4 2004 864 879
73. J.T. Wixted, and E.B. Ebbesen On the form of forgetting Psychological Science 2 6 1991 409 415
74. J.T. Wixted, and E.B. Ebbesen Genuine power curves in forgetting: A quantitative analysis of individual subject forgetting functions Memory & Cognition 25 5 1997 731 739
75. J.C.P. Yin, M. Del Vecchio, H. Zhou, and T. Tully CREB as a memory modulator: Induced expression of a dCREB2 activator isoform enhances long-term memory in Drosophila Cell 81 1 1995 107 115