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Strategic Study of CAE >> 2007, Volume 9, Issue 7

Learning Curve and Its Application in Production Operation al Research

School of Business, Sun Yat-sen University, Guangzhou   510275, China

Funding project:国家自然科学基金资助项目(70271023) Received: 2006-07-24 Revised: 2006-08-24

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Abstract

Learning curve is one character function that improves output by the experience accumulation of producer. Learning curve can be used to establish scientific cost plan, improve shop flow scheduling, labor quota and plan, quality, and so on. This paper reviews the research literatures, introduces different forms of learning curve, analyzes their characters, and discusses the future directions of application of learning curve.

References

[ 1 ] Conway R , Schultz A . The manufacturing progress function [J] . Journal of Industrial Engineering , 1959 , 10 :39 ~ 53

[ 2 ] Hirsch W Z . Progress functions of machine tool manufacturing [J] .Econometrica ,1952 ,20(1) :81 ~ 82

[ 3 ] Muth J D . Search theory and the manufacturing progress functions [J] . Management Science , 1986 , 32(8) : 948 ~ 962

[ 4 ] Sahal D A . Theory of Progress Functions [ M ] . International Institute of Management , Berlin , Germany , 1942

[ 5 ] Wright T .Factors affecting the costs of airplanes [J] .J of Aeronautical Sci ,1936 ,3(4) :122 ~ 128

[ 6 ] Yelle L E . The learning curve : historical review and comprehensive survey [J] . Decision Sciences , 1979 , 10 (2) :302 ~ 328

[ 7 ] Crossman E R F W .A theory of acquisition of speed skill [J] .Ergonomics ,1959 ,2 :153 ~ 166

[ 8 ] Levy F K . Adaptation in the production processes [J] . Management Science ,1965 ,11(6) :136 ~ 154

[ 9 ] Globerson S .The influence of job related variables on the predictability power of three learning curve models [J] . AIIE Transactions ,1980 ,12 :64 ~ 49

[10] Badiru A B . Computational survey of univariate and bivariate learning curve models [J] .IEEE Transactions on Engineering Management ,1992 ,39 :176 ~ 188

[11] Franceschini F ,Galetto M .Composition laws for learning curves of individual manufacturing processes [ J ] . International Journal of Production Research , 2003 , 41 (7) :1431 ~ 1447

[12] Fine C H .Quality improvement and learning in productive systems [J] .Management Science ,1986 ,32(10) : 1301 ~ 1315

[13] Li G , Rajagopalan S . The impact of quality on learning [J] . Journal of Operations Management , 1997 , 15 : 181 ~ 191

[14] Lapre M A ,Mukherjee A S ,Wassenhove L N V , et al . Behind the learning curve : linking learning activities to waste reduction [J] .Management Science ,2000 ,46(5) : 597 ~ 611

[15] Jaber M Y , Guiffrida A L . Learning curves for processes generating defects requiring reworks [J] .European Journal of Operational Research ,2004 ,159 :663 ~ 672

[16] Franceschini F ,Galetto M .An empirical invenstigation of learning curve composition laws for quality improvement in complex manufacturing plants [ J ] . Journal of Manufacturing Technology Management , 2004 , 15 (7) : 687 ~ 699

[17] Ebert R J . Aggregate planning and learning curve productivity [J] . Management Science , 1976 , 23 (2) : 171 ~ 182

[18] Reeves G R ., Sweigart J R . Product-mix models when learning effects are present [J] . Management Science , 1981 ,27(2) :204 ~ 212

[19] Reeves G R ,Sweigart J R .Multiperiod research allocation with variable technology [J] .Management Science 1982 , 28(12) :1441 ~ 1449

[20] Karwan K R , Mazzola J B , Morey R C . Prodduction lot sizing under setup and worker learning [ J ] . Naval Research Logistics ,1988 ,35 :159 ~ 175

[21] Chand S , Sethi S P . A dynamic lot sizing model with learning in setups [J] . Operations Research , 1990 , 38 (4) :644 ~ 655

[22] Hillier R S , Shapiro J F . Optimal capacity expansion planning when there are learning effects [J] .Management Science ,1986 ,32(9) :1153 ~ 1163

[23] Womer N K . Learning curves , production rate , and program costs [J] . Management Science , 1979 , 25(4) : 312 ~ 319

[24] Smunt T L . Rough cut capacity planning in a learning environment [ J ] . IEEE Transactions on Engineering Management ,1996 ,43(3) :334 ~ 341

[25] Mazzola J B , McCardle K F . The stochastic learning curve :optimal production in the presence of learning-curve uncertainty [J] .Operations Research ,1997 ,45(3) :440 ~ 449

[26] Mazzola J B , Neebe A W , Rump C M . Multiproduct production planning in the presence of work-force learning [J] . European Journal of Operational Research , 1998 , 106(1/2) :336 ~ 356

[27] Keachie E C ,Fontana R J .Effects of learning on optimal lot size [J] . Management Science 1965 , 13(2) : 102 ~ 107

[28] Keachie E C , Fontana R J . Production lot sizing under a learning effect [J] .Management Science ,1966 ,13 :102 ~ 108

[29] Steedman I . Some improvement curve theory [ J ] . International Journal of Production Research , 1970 , 8 : 189 ~ 205

[30] Muth E J , Spremann K . Learning effect in economic lot sizing [J] .Management Science ,1983 ,29 :102 ~ 108

[31] Wortham A W ,Mayyasi A M .Learning effect in economic order quantity [J] .AIIE Transactions ,1972 ,4(1) :69 ~ 71

[32] Dolinsky L R , Vollmann E T , Maggard M J , et al . Adjusting replenishment orders to reflect learning in a material requirements planning environment [ J ] . Management Science ,1990 ,36(12) :1532 ~ 1547

[33] Jaber M Y , Bonney M .Optimal lot sizing under learning considerations: the bounded learning case [ J] . Apply Mathematics Modeling ,1996 ,20 :750 ~ 755

[34] Eynan A , Li C L . Lot-splitting decisions and learning effects [J] .IIE Transactions ,1997 ,29(2) :139 ~ 146

[35] Jaber M Y , Bonney M . The economic manufacture/order quantity ( EMQ/EOQ) and the learning curve : past , present , and future [ J ] . International Journal of Production Economics ,1999 ,59 :93 ~ 102

[36] Cohen Y ,Dar-El M E .Optimizing the number of stations in assembly lines under learning for limited production [J] .Production Planning & Control ,1998 ,9 :230 ~ 240

[37] McCreery J K , Krajewski L J . Improving performance using workforce flexibility in an assembly environment and learning and forgetting effects [J] .International Journal of Production Research ,1999 ,37 :2031 ~ 2058

[38] Nembhard D A . Heuristic approach for assigning workers to tasks based on individual learning rates [ J ] . International Journal Production Research , 2001 , 39(9) : 1955 ~ 1968

[39] Sayin S , Karabati S . Assigning cross-trained workers to departments : a two-stage optimization model to minimize utility and skill improvement [J] . European Journal of Operational Research , 2006 , ( in press , http ://www . sciencedirect .com)

[40] Smunt T L , Watts C A . Improving operations planning with learning curves : overcoming the pitfalls of “messy” shop floor data [J] . Journal of Operations Management , 2003 ,21 :93 ~ 107

[41] Mosheiov G, Sidney J B . Note on scheduling with general learning curves to minimize the number of tardy jobs [J] . Journal of Operational Research Society ,2005 ,56 :110 ~ 112

[42] Hatch N W ,Mowery D C .Process innovation and learning by doing in semiconductor manufacturing [ J ] . Management Science ,1998 ,44(11) :1461 ~ 1477

[43] Kannan V R ,Palocsay S W .Cellular vs process layouts : an analytic investigation of the impact of learning on shop performance [J] .Omega ,1999 ,27 :583 ~ 592

[44] Dardan S , Busch D , Sward D . An application of the learning curve and the nonconstant-growth dividend model : IT investment valuations at Intel Corporation [J] .Decision Support System ,2006 ,41 :688 ~ 697

[45] Lapre M A ,Wassenhove L N V .Creating and transferring knowledge for productivity improvement in factories [J] . Management Science ,2001 ,47(10) :1311 ~ 1325

[46] DeJong J R .,The effects of increasing skill on cycle time and its consequences for time standards [J] .Ergonomics , 1957 ,(Nov) :51 ~ 60

[47] Glover J H . Manufacturing progress functions : an alternative model and its comparison with existing functions [J] . International Journal of Production Research , 1966 , 4(4) :279 ~ 300

[48] Pegels C C .On start up or learning curves : an expanded view [J] .AIIE Transactions ,1969 ,1(3) :216 ~ 222 link1

[49] Knecht G R . Costing , technological growth and generalized learning curves [ J] . Operations Research Quarterly ,1974 ,25(3) :487 ~ 491 link1

[50] Yelle L E . Estimating learning curves for potential products [J] . Industrial Marketing Management , 1976 ,5 (2/3) :147 ~ 154 link1

[51] Alchian A . Reliability of progress curves in airframe production [J] .Econometrica ,1963 ,31(4) :679 ~ 693 link1

[52] Preston L E , Keachie E C . Cost functions and progress functions : an integration [ J ] . American Economic Review ,1964 ,54 :100 ~ 106 link1

[53] Womer N K ,Gulledge T R . A dynamic cost function for an airframe production program [J] . Engineering Costs and Production Economics ,1983 ,7(3) :213 ~ 227 link1

[54] Camm J D ,Gulledge Jr ,Womer N K .Production rate and contract behavior [J] . J of Cost Analysis , 1987 , 5(1) : 27 ~ 38

[55] Bemis J C .A model for examining the cost implications of production rate [J] . Concepts : The Journal of Defense Systems Acquisition Management ,1981 ,4(2) :84 ~ 94

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