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Dynamic optimal control of process–product innovation with learning by doing

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  • Pan, Xiaojun
  • Li, Shoude

Abstract

In this paper, we present a dynamic optimal control model of process–product innovation with learning by doing, and extend the model of Chenavaz (2012) to an even more general model in which the firm's cost functions of product and process innovation depend on both the innovation investments and the knowledge accumulations of product and process innovation; furthermore, in our paper, the product price, the investments of product and process innovation are decision variables; the product quality, production cost, the change rates of knowledge accumulations of product and process innovation are state variables. The main objective of this paper is to analyze the relationships between these variables, and investigate the model's optimal conditions and characteristics. Further, we solve the model with some numerical examples, and sensitivity analysis is conducted to study the effect of changing the parameters and coefficients on the objective function value.

Suggested Citation

  • Pan, Xiaojun & Li, Shoude, 2016. "Dynamic optimal control of process–product innovation with learning by doing," European Journal of Operational Research, Elsevier, vol. 248(1), pages 136-145.
    • Handle: RePEc:eee:ejores:v:248:y:2016:i:1:p:136-145
    DOI: 10.1016/j.ejor.2015.07.007
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    References listed on IDEAS

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    1. Chenavaz, Régis, 2012. "Dynamic pricing, product and process innovation," European Journal of Operational Research, Elsevier, vol. 222(3), pages 553-557.
    2. Susan Athey & Armin Schmutzler, 1995. "Product and Process Flexibility in an Innovative Environment," RAND Journal of Economics, The RAND Corporation, vol. 26(4), pages 557-574, Winter.
    3. Huisman, Kuno J. M. & Kort, Peter M., 2003. "Strategic investment in technological innovations," European Journal of Operational Research, Elsevier, vol. 144(1), pages 209-223, January.
    4. Lambertini, Luca & Mantovani, Andrea, 2009. "Process and product innovation by a multiproduct monopolist: A dynamic approach," International Journal of Industrial Organization, Elsevier, vol. 27(4), pages 508-518, July.
    5. Teng, Jinn-Tsair & Thompson, Gerald L., 1996. "Optimal strategies for general price-quality decision models of new products with learning production costs," European Journal of Operational Research, Elsevier, vol. 93(3), pages 476-489, September.
    6. Andrea Mantovani, 2006. "Complementarity between product and process innovation in a monopoly setting," Economics of Innovation and New Technology, Taylor & Francis Journals, vol. 15(3), pages 219-234.
    7. Xiaokai Yang & Jeff Borland, 2005. "A Microeconomic Mechanism For Economic Growth," World Scientific Book Chapters, in: An Inframarginal Approach To Trade Theory, chapter 18, pages 409-436, World Scientific Publishing Co. Pte. Ltd..
    8. Cellini, Roberto & Lambertini, Luca, 2009. "Dynamic R&D with spillovers: Competition vs cooperation," Journal of Economic Dynamics and Control, Elsevier, vol. 33(3), pages 568-582, March.
    9. Thompson, Peter, 2010. "Learning by Doing," Handbook of the Economics of Innovation, in: Bronwyn H. Hall & Nathan Rosenberg (ed.), Handbook of the Economics of Innovation, edition 1, volume 1, chapter 0, pages 429-476, Elsevier.
    10. Argote, L. & Epple, D., 1990. "Learning Curves In Manufacturing," GSIA Working Papers 89-90-02, Carnegie Mellon University, Tepper School of Business.
    11. Utterback, James M & Abernathy, William J, 1975. "A dynamic model of process and product innovation," Omega, Elsevier, vol. 3(6), pages 639-656, December.
    12. Souresh Saha, 2007. "Consumer preferences and product and process R&D," RAND Journal of Economics, RAND Corporation, vol. 38(1), pages 250-268, March.
    13. Steven D. Levitt & John A. List & Chad Syverson, 2013. "Toward an Understanding of Learning by Doing: Evidence from an Automobile Assembly Plant," Journal of Political Economy, University of Chicago Press, vol. 121(4), pages 643-681.
    14. Nile W. Hatch & David C. Mowery, 1998. "Process Innovation and Learning by Doing in Semiconductor Manufacturing," Management Science, INFORMS, vol. 44(11-Part-1), pages 1461-1477, November.
    15. Maurizio Zollo & Sidney G. Winter, 2002. "Deliberate Learning and the Evolution of Dynamic Capabilities," Organization Science, INFORMS, vol. 13(3), pages 339-351, June.
    16. K. J. Arrow, 1971. "The Economic Implications of Learning by Doing," Palgrave Macmillan Books, in: F. H. Hahn (ed.), Readings in the Theory of Growth, chapter 11, pages 131-149, Palgrave Macmillan.
    17. Klepper, Steven, 1996. "Entry, Exit, Growth, and Innovation over the Product Life Cycle," American Economic Review, American Economic Association, vol. 86(3), pages 562-583, June.
    18. Avagyan, Vardan & Esteban-Bravo, Mercedes & Vidal-Sanz, Jose M., 2014. "Licensing radical product innovations to speed up the diffusion," European Journal of Operational Research, Elsevier, vol. 239(2), pages 542-555.
    19. David J. Teece & Gary Pisano & Amy Shuen, 1997. "Dynamic capabilities and strategic management," Strategic Management Journal, Wiley Blackwell, vol. 18(7), pages 509-533, August.
    20. Ma, Tieju & Nakamori, Yoshiteru, 2005. "Agent-based modeling on technological innovation as an evolutionary process," European Journal of Operational Research, Elsevier, vol. 166(3), pages 741-755, November.
    21. Ouardighi, Fouad El & Tapiero, Charles S., 1998. "Quality and the diffusion of innovations," European Journal of Operational Research, Elsevier, vol. 106(1), pages 31-38, April.
    22. Régis Chenavaz, 2011. "Dynamic pricing rule and R&D," Economics Bulletin, AccessEcon, vol. 31(3), pages 2229-2236.
    23. Ron Adner & Daniel Levinthal, 2001. "Demand Heterogeneity and Technology Evolution: Implications for Product and Process Innovation," Management Science, INFORMS, vol. 47(5), pages 611-628, May.
    24. Alvarez, F. & Cerda, E., 2003. "Learning by doing in a T-period production planning: Analytical solution," European Journal of Operational Research, Elsevier, vol. 150(2), pages 353-369, October.
    25. Steven Levitt & John List & Chad Syverson, 2012. "Toward an Understanding of Learning by Doing: Evidence from an Automobile Plant," Natural Field Experiments 00463, The Field Experiments Website.
    26. Kamien, Morton I. & Oren, Shmuel S. & Tauman, Yair, 1992. "Optimal licensing of cost-reducing innovation," Journal of Mathematical Economics, Elsevier, vol. 21(5), pages 483-508.
    27. Kutsoati, Edward & Zabojnik, Jan, 2005. "The effects of learning-by-doing on product innovation by a durable good monopolist," International Journal of Industrial Organization, Elsevier, vol. 23(1-2), pages 83-108, February.
    28. Lucas, Robert Jr., 1988. "On the mechanics of economic development," Journal of Monetary Economics, Elsevier, vol. 22(1), pages 3-42, July.
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