Applications of learning curves in production and operations management: A systematic literature review

Abstract The occurrence and characteristics of human learning and forgetting are extensively researched in many fields. Thus, the literature on learning curves is abundant. Within production and operations management, learning curves can describe the performance improvement of workers due to repetitions or experience, which makes them a useful tool for managerial decision making. Human learning is very relevant to manufacturing firms that are labor-intensive, especially where labor is costly. Also, technology and organization learning frequently occur in many organizations, even when manufacturing is not labor-intensive. It is not surprising, therefore, that, despite the plethora of prior work in learning curves, research in this important area continues to appear in the production and operations management literature. A comprehensive, systematic review of the literature, however, has never been conducted. This article aims at giving a general overview of learning curves in production and operations management. It maps this specific research area, synthesizes its research findings, highlights its key application areas and explores future research directions. This work achieves this goal by presenting the results of a systematic literature review on the applications of learning curves in production and operations management. First, a framework that includes typical learning curve models is developed. The fundamental characteristics of learning curves and their applications in production and operations management are then identified. This framework is used to categorize the literature. This study also presents a discussion of the most important and informative articles in each of the major categories, as well as highlighting future research opportunities.

[1]  Charles H. Fine A Quality Control Model with Learning Effects , 1988, Oper. Res..

[2]  T. Smunt Incorporating learning curve analysis into medium-term capacity planning procedures: a simulation experiment , 1986 .

[3]  Jeffrey D. Camm,et al.  Modeling Synergy and Learning under Multiple Advanced Manufacturing Technologies , 1989 .

[4]  T. C. Edwin Cheng,et al.  Single-machine scheduling with deteriorating jobs and learning effects to minimize the makespan , 2007, Eur. J. Oper. Res..

[5]  E. A. Hackett Application of a set of learning curve models to repetitive tasks , 1983 .

[6]  Randolph W. Hall,et al.  Territory Planning and Vehicle Dispatching with Driver Learning , 2007, Transp. Sci..

[7]  Maurice Bonney,et al.  Optimal lot sizing under learning considerations: The bounded learning case , 1996 .

[8]  Christoph H. Glock,et al.  Production Economics and the Learning Curve: A Meta-Analysis , 2014 .

[9]  J. H. Glover,et al.  MANUFACTURING PROGRESS FUNCTIONS I. AN ALTERNATIVE MODEL AND ITS COMPARISON WITH EXISTING FUNCTIONS , 1965 .

[10]  M. Jaber,et al.  Vendor managed inventory (VMI) with consignment considering learning and forgetting effects , 2012 .

[11]  Mohamad Y. Jaber,et al.  An integrated supply chain model with errors in quality inspection and learning in production , 2014 .

[12]  R. Nanda,et al.  Quantity discounts using a joint lot size model under learning effects—multiple buyers case , 1993 .

[13]  Robert E. Ployhart,et al.  Learning by Doing Something Else: Variation, Relatedness, and the Learning Curve , 2003, Manag. Sci..

[14]  G. R. Knecht,et al.  Costing, Technological Growth and Generalized Learning Curves , 1974 .

[15]  J. R. De Jong,et al.  THE EFFECTS OF INCREASING SKILL ON CYCLE TIME AND ITS CONSEQUENCES FOR TIME STANDARDS , 1957 .

[16]  Bertrand M. T. Lin,et al.  A concise survey of scheduling with time-dependent processing times , 2004, Eur. J. Oper. Res..

[17]  Walter Rohmert,et al.  LEARNING OF COMPLEX MANUAL TASKS , 1966 .

[18]  Nicholas Baloff,et al.  Extension of the Learning Curve — Some Empirical Results , 1971 .

[19]  Flávio Sanson Fogliatto,et al.  Learning curve models and applications: Literature review and research directions , 2011 .

[20]  Gur Mosheiov,et al.  Scheduling problems with a learning effect , 2001, Eur. J. Oper. Res..

[21]  Hamed Maleki,et al.  Evaluation of scheduling using triangular whitenization functions , 2015 .

[22]  Mohamed Mohamed Naim,et al.  The dynamics of capacity planning for flexible manufacturing system startup , 1989 .

[23]  Mohamad Y. Jaber,et al.  A numerical comparison of three potential learning and forgetting models , 2004 .

[24]  Maurice Bonney,et al.  The economic manufacture/order quantity (EMQ/EOQ) and the learning curve: Past, present, and future , 1999 .

[25]  F. Lévy Adaptation in the Production Process , 1965 .

[26]  N. Baloff,et al.  Startup management , 1970 .

[27]  Christoph H. Glock,et al.  Systematic literature reviews in purchasing and supply management research: a tertiary study , 2012 .

[28]  Christoph H. Glock,et al.  The effect of worker learning on manual order picking processes , 2015 .

[29]  Denis Royston Towill,et al.  Management systems applications of learning curves and progress functions , 1985 .

[30]  George Li,et al.  The impact of quality on learning , 1997 .

[31]  M. Jaber,et al.  Coordinating a three-level supply chain with learning-based continuous improvement , 2010 .

[32]  Nick T. Thomopoulos,et al.  The Mixed Model Learning Curve , 1969 .

[33]  D. R. Towill,et al.  Transfer Functions and Learning Curves , 1976 .

[34]  David P. Kopcso,et al.  Learning curves and lot sizing for independent and dependent demand , 1983 .

[35]  Timothy L. Smunt,et al.  Log-linear and non-log-linear learning curve models for production research and cost estimation , 1999 .

[36]  Avraham Shtub,et al.  Modelling the effects of learning and job enlargement on assembly systems with parallel lines , 1988 .

[37]  H. FlomJ,et al.  The expanding scope of SEC disclosure laws. , 1974 .

[38]  Meriem Ennigrou,et al.  Scheduling problems under learning effects: classification and cartography , 2018, Int. J. Prod. Res..

[39]  Avraham Shtub,et al.  Learning and forgetting industrial skills: An experimental model , 1993 .

[40]  C. Glock The joint economic lot size problem: A review , 2012 .

[41]  Tonya Boone,et al.  Learning and Knowledge Depreciation in Professional Services , 2008, Manag. Sci..

[42]  Gur Mosheiov,et al.  Parallel machine scheduling with a learning effect , 2001, J. Oper. Res. Soc..

[43]  Edieal J. Pinker,et al.  The Efficiency-Quality Trade-Off of Cross-Trained Workers , 2000, Manuf. Serv. Oper. Manag..

[44]  Mohamad Y. Jaber,et al.  Managing yield by lot splitting in a serial production line with learning, rework and scrap , 2010 .

[45]  S. Sikström,et al.  The power integration diffusion model for production breaks. , 2002, Journal of experimental psychology. Applied.

[46]  Maurice Bonney,et al.  A comparative study of learning curves with forgetting , 1997 .

[47]  Flávio Sanson Fogliatto,et al.  Learning curve modelling of work assignment in mass customized assembly lines , 2007 .

[48]  Paul S. Adler,et al.  Shared learning , 1990 .

[49]  H C Wiltshire,et al.  The variation of cycle times with repetition for manual tasks. , 1967, Ergonomics.

[50]  D. Tranfield,et al.  Towards a Methodology for Developing Evidence-Informed Management Knowledge by Means of Systematic Review , 2003 .

[51]  Salah E. Elmaghraby,et al.  Economic manufacturing quantities under conditions of learning and forgetting (EMQ/LaF) , 1990 .

[52]  Mohamad Y. Jaber,et al.  Production , Manufacturing and Logistics Learning curves for processes generating defects requiring reworks , 2004 .

[53]  Amiya K. Chakravarty Line Balancing With Task Learning Effects , 1988 .

[54]  Charles J. Teplitz,et al.  The Learning Curve Deskbook: A Reference Guide to Theory, Calculations, and Applications , 1991 .

[55]  Shlomo Globerson Introducing the repetition pattern of a task into its learning curve , 1980 .

[56]  M. Palmer Terrell,et al.  Aggregate planning models incorporating productivity—an overview , 1982 .

[57]  Dirk Biskup,et al.  Single-machine scheduling with learning considerations , 1999, Eur. J. Oper. Res..

[58]  Yasuo Yamane,et al.  Developing a plant system prediction model for technology transfer , 2015 .

[59]  Gwo-Liang Liao,et al.  Optimum policy for a production system with major repair and preventive maintenance , 2012 .

[60]  Terry P. Harrison,et al.  Optimising lot sizing and order scheduling with non-linear production rates , 2010 .

[61]  Vicente Salas-Fumás,et al.  Learning to learn and productivity growth: Evidence from a new car-assembly plant , 2013 .

[62]  Mohamad Y. Jaber,et al.  Learning curves for imperfect production processes with reworks and process restoration interruptions , 2008, Eur. J. Oper. Res..

[63]  D. Mowery,et al.  Process Innovation and Learning by Doing in Semiconductor Manufacturing , 1998 .

[64]  Mohamad Y. Jaber,et al.  Countering forgetting through training and deployment , 2003 .

[65]  Finn Wynstra,et al.  What did we do, who did it and did it matter? A review of fifteen volumes of the (European) Journal of Purchasing and Supply Management , 2010 .

[66]  E. H. Grosse,et al.  Decision support models for supplier development: systematic literature review and research agenda , 2017 .

[67]  Hongzhong Huang,et al.  Optimal reliability, warranty and price for new products , 2007 .

[68]  Jie Zhang,et al.  A multi-factor revision based analysis of the personnel operational capacity of aircraft assembly lines , 2015 .

[69]  Dmitrij Slepniov,et al.  Management of the learning curve: A case of overseas production capacity expansion , 2016 .

[70]  Giovanni Mummolo,et al.  The effect of dynamic worker behavior on flow line performance , 2009 .

[71]  Fiorenzo Franceschini,et al.  An empirical investigation of learning curve composition laws for quality improvement in complex manufacturing plants , 2004 .

[72]  John B. Jensen,et al.  Learning and labour assignment in a dual resource constrained cellular shop , 2004 .

[73]  Christoph H. Glock,et al.  An experimental investigation of learning effects in order picking systems (angenommen) , 2013 .

[74]  J. H. Glover MANUFACTURING PROGRESS FUNCTIONS III. PRODUCTION CONTROL OF NEW PRODUCTS , 1967 .

[75]  Moutaz Khouja The use of minor setups within production cycles to improve product quality and yield , 2005, Int. Trans. Oper. Res..

[76]  Ojelanki K. Ngwenyama,et al.  A comparative analysis of learning curves: Implications for new technology implementation management , 2010, Eur. J. Oper. Res..

[77]  Timothy L. Smunt,et al.  Improving operations planning with learning curves: overcoming the pitfalls of ‘messy’ shop floor data , 2003 .

[78]  Christoph H. Glock,et al.  The Lot Sizing Problem: A Tertiary Study , 2014 .

[79]  J. H. Glover,et al.  MANUFACTURING PROGRESS FUNCTIONS II. SELECTION OF TRAINEES AND CONTROL OF THEIR PROGRESS , 1966 .

[80]  R. Ebert Aggregate Planning with Learning Curve Productivity , 1976 .

[81]  Denis Royston Towill,et al.  PREDICTION OF OPERATOR PERFORMANCE DURING LEARNING OF REPETITIVE TASKS , 1970 .

[82]  Kevin J. Dooley,et al.  Supplier innovativeness, organizational learning styles and manufacturer performance: An empirical assessment , 2010 .

[83]  T. P. Wright,et al.  Factors affecting the cost of airplanes , 1936 .

[84]  Mario Vanhoucke,et al.  Influence of learning in resource-constrained project scheduling , 2015, Comput. Ind. Eng..

[85]  Yan Dong,et al.  Supply Chain Learning and Spillovers in Vendor Managed Inventory , 2012, Decis. Sci..

[86]  Behrokh Khoshnevis,et al.  Production rate, learning, and program costs: Survey and bibliography , 1987 .

[87]  Christoph H. Glock,et al.  Machine scheduling problems in production: A tertiary study , 2017, Comput. Ind. Eng..

[88]  Kannan Srinivasan,et al.  Modifying Customer Expectations of Price Decreases for a Durable Product , 1998 .

[89]  Maurice Bonney,et al.  The effects of learning and forgetting on the optimal lot size quantity of intermittent production runs , 1998 .

[90]  Maurice Bonney,et al.  Production breaks and the learning curve: The forgetting phenomenon , 1996 .

[91]  Yu-Chung Tsao,et al.  Effects of promotion cost sharing policy with the sales learning curve on supply chain coordination , 2012, Comput. Oper. Res..

[92]  Andrew P. McAfee THE IMPACT OF ENTERPRISE INFORMATION TECHNOLOGY ADOPTION ON OPERATIONAL PERFORMANCE: AN EMPIRICAL INVESTIGATION , 2002 .

[93]  Adam Janiak,et al.  Scheduling jobs with position-dependent processing times , 2004, J. Oper. Res. Soc..

[94]  Ramsey F. Hamade,et al.  Analyzing CAD competence with univariate and multivariate learning curve models , 2009, Comput. Ind. Eng..

[95]  S. Goyal,et al.  Economic production quantity model for items with imperfect quality subject to learning effects , 2008 .

[96]  C. Bailey Forgetting and the learning curve: a laboratory study , 1989 .

[97]  John F. Muth,et al.  Search Theory and the Manufacturing Progress Function , 1986 .

[98]  Timothy L. Smunt A COMPARISON OF LEARNING CURVE ANALYSIS AND MOVING AVERAGE RATIO ANALYSIS FOR DETAILED OPERATIONAL PLANNING , 1986 .

[99]  Tarald O. Kvålseth,et al.  The effect of task complexity on the human learning function , 1978 .

[100]  Woody M. Liao EFFECTS OF LEARNING ON RESOURCE ALLOCATION DECISIONS , 1979 .

[101]  H. Ebbinghaus Uber das Gedachtnis , 1996 .

[102]  Antony R Mileham,et al.  Modelling human performance within an automotive engine assembly line , 2013 .

[103]  Adedeji Badiru,et al.  Multivariate analysis of the effect of learning and forgetting on product quality , 1995 .

[104]  D. Tranfield,et al.  Producing a systematic review. , 2009 .

[105]  Charles H. Fine Quality Improvement and Learning in Productive Systems , 1986 .

[106]  David A. Nembhard,et al.  The Effects of Worker Learning, Forgetting, and Heterogeneity on Assembly Line Productivity , 2001, Manag. Sci..

[107]  Kirk R. Karwan,et al.  Production lot sizing under setup and worker learning , 1988 .

[108]  Christoph H. Glock,et al.  A learning curve for tasks with cognitive and motor elements , 2013, Comput. Ind. Eng..

[109]  G. Nadler,et al.  MANUFACTURING PROGRESS FUNCTIONS FOR TYPES OF PROCESSES , 1963 .

[110]  Mohamad Y. Jaber,et al.  Inventory models for imperfect quality items with shortages and learning in inspection , 2012 .

[111]  Avraham Shtub,et al.  The Impact of Breaks on Forgetting When Performing A Repetitive Task , 1989 .

[112]  Denis Royston Towill,et al.  Learning performance of an industrial long cycle time group task , 1980 .

[113]  C. Pegels On Startup or Learning Curves: An Expanded View , 1969 .

[114]  Avraham Shtub,et al.  THE EFFECT OF LEARNING ON THE OPERATION OF MIXED-MODEL ASSEMBLY LINES , 2009 .

[115]  Kofi Kissi Dompere,et al.  Learning by doing and optimal factor demand , 1991 .

[116]  J. E. Mazur,et al.  Learning as accumulation: a reexamination of the learning curve. , 1978, Psychological bulletin.

[117]  Gur Mosheiov,et al.  Scheduling with general job-dependent learning curves , 2003, Eur. J. Oper. Res..

[118]  Denis Royston Towill,et al.  A direct method for the determination of learning curve parameters from historical data , 1973 .

[119]  C. Glock,et al.  Literature reviews in supply chain management: a tertiary study , 2015 .

[120]  Mustafa Uzumeri,et al.  Experiential learning and forgetting for manual and cognitive tasks , 2000 .

[121]  Mohamad Y. Jaber,et al.  Production planning in DRC systems considering worker performance , 2015, Comput. Ind. Eng..

[122]  Evan L. Porteus Optimal Lot Sizing, Process Quality Improvement and Setup Cost Reduction , 1986, Oper. Res..

[123]  T. C. Edwin Cheng,et al.  Some scheduling problems with deteriorating jobs and learning effects , 2008, Comput. Ind. Eng..

[124]  Flávio Sanson Fogliatto,et al.  Learning dependent job scheduling in mass customized scenarios considering ergonomic factors , 2014 .

[125]  Mohamad Y. Jaber,et al.  An economic production and remanufacturing model with learning effects , 2011 .

[126]  Randolph Kirchain,et al.  A dynamic process-based cost modeling approach to understand learning effects in manufacturing , 2010 .

[127]  Christos Koulamas,et al.  Single-machine and two-machine flowshop scheduling with general learning functions , 2007, Eur. J. Oper. Res..

[128]  Manoj K. Malhotra,et al.  Acquiring and operationalizing worker flexibility in dual resource constrained job shops with worker transfer delays and learning losses , 1994 .

[129]  Mustafa Uzumeri,et al.  A population of learners: A new way to measure organizational learning , 1998 .

[130]  J. Alberto Espinosa,et al.  Learning from Experience in Software Development: A Multilevel Analysis , 2007, Manag. Sci..

[131]  I. Steedman SOME IMPROVEMENT CURVE THEORY , 1970 .

[132]  Guoqing Wang,et al.  Single Machine Scheduling with Learning Effect Considerations , 2000, Ann. Oper. Res..

[133]  Eric H. Grosse,et al.  Celebrating the 10th volume of IJISM: a bibliographic review and outlook , 2017 .

[134]  Timothy L. Smunt Rough cut capacity planning in a learning environment , 1996 .

[135]  Adedeji Badiru,et al.  Computational survey of univariate and multivariate learning curve models , 1992 .

[136]  Mohamad Y. Jaber,et al.  The Depletion-Power-Integration-Latency (DPIL) model of spaced and massed repetition , 2012, Comput. Ind. Eng..

[137]  L. Demeester,et al.  Managing learning resources for consecutive product generations , 2005 .

[138]  Nima Hamta,et al.  A hybrid PSO algorithm for a multi-objective assembly line balancing problem with flexible operation times, sequence-dependent setup times and learning effect , 2013 .

[139]  Dirk Biskup,et al.  A state-of-the-art review on scheduling with learning effects , 2008, Eur. J. Oper. Res..

[140]  Ji-Bo Wang,et al.  Single-machine scheduling problems with the effects of learning and deterioration , 2007 .

[141]  Louis E. Yelle THE LEARNING CURVE: HISTORICAL REVIEW AND COMPREHENSIVE SURVEY , 1979 .

[142]  David A. Nembhard,et al.  An empirical comparison of forgetting models , 2001, IEEE Trans. Engineering Management.

[143]  Dar-Li Yang,et al.  Minimizing the total completion time in a single-machine scheduling problem with a time-dependent learning effect , 2006, Eur. J. Oper. Res..

[144]  Everett E. Adam,et al.  Examining the Impact of Speed of Quality Improvement on Quality‐Related Costs , 1996 .

[145]  Rajiv Kohli,et al.  Learning curves in collaborative planning, forecasting, and replenishment (CPFR) information systems: An empirical analysis from a mobile phone manufacturer , 2013 .

[146]  Luk N. Van Wassenhove,et al.  Behind the Learning Curve: Linking Learning Activities to Waste Reduction , 2000 .

[147]  Mohamad Y. Jaber,et al.  Learning and forgetting models and their applications , 2013 .

[148]  E. B. Cochran,et al.  Predicting new product labour hours , 1982 .

[149]  Maurice Bonney,et al.  Lot sizing with learning and forgetting in set-ups and in product quality , 2003 .

[150]  Ezey M. Dar-El,et al.  A dual-phase model for the individual learning process in industrial tasks , 1995 .