Invisible Balancing/Collaboration of Enterprises

  • Masayuki Matsui
Part of the International Series in Operations Research & Management Science book series (ISOR, volume 202)


The well-known invisible hand in economics is hypothesized to cause a win-win situation in the division of work. The invisible hand is regarded here as the demand speed in Matsui (2008), and the system balancing problem by demand speed is considered to be stochastic under a station-centered approach. This chapter discusses a stochastic approach to system or risk balancing/re-balancing by demand speed based on an assembly line toward a demand (supply) chain and presents a fundamental theory for the cost/profit balancing of under and excess penalties based on demand speed. The next Sect. 6.2, focuses on the K-center model of series/parallel types in the invisible balancing/collaboration of enterprises.


Profit Maximization Ellipse Shape Invisible Hand Integral Optimization Parallel Type 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


  1. 1.
    Aumann, R.J.: Subjectivity and correlation in randomized strategies. J. Math. Econ. 1, 69–96 (1974)Google Scholar
  2. 2.
    Braess, D.: Über ein Paradoxen ausder Verkehrsplanung. Unterehmensforshung 12, 258–268 (1968)Google Scholar
  3. 3.
    Ceroni, J.A., Matsui, M., Nof, S.Y.: Communication-based coordination modeling in distributed manufacturing systems. Int. J. Prod. Econ. 60–61, 281–287 (1999)CrossRefGoogle Scholar
  4. 4.
    Feyzbakhsh, S.A., Matsui, M., Itai, K.: Optimal design of a generalized conveyor-serviced production station: fixed and removal item cases. Int. J. Prod. Econ. 55, 177–189 (1998)CrossRefGoogle Scholar
  5. 5.
    Hillier, F.S., Boling, R.W.: The effects of some design factors on the efficiency of production lines with variable operation times. J. Jpn. Ind. Eng. 17, 651–658 (1966)Google Scholar
  6. 6.
    Hunt, G.C.: Sequential arrays of waiting lines. Oper. Res. 4(6), 674–683 (1956)CrossRefGoogle Scholar
  7. 7.
    Johnson, S.M.: Optional two-and three-stage production schedules with set-up times included. Nav. Res. Logist. Q. 1(1), 61–68 (1954)CrossRefGoogle Scholar
  8. 8.
    Katayama, T., Matsui, M.: A profit-balancing issue on serial-parallel K-center model. Preprints of the Operations Research Society of Japan, 142–143 (Spring 2010) (in Japanese)Google Scholar
  9. 9.
    Keynes, J. M.: The General Theory of Employment, Interest and Money. The Macmillan Press, 1973 edition (1936)Google Scholar
  10. 10.
    Malon, D.M.: Optimal consecutive-2-out-of-n: F component sequencing. IEEE. T. Reliab. R-33, 414–418 (1984)CrossRefGoogle Scholar
  11. 11.
    Marukuni, S., Matsui, M., Ishii, N., Ishikawa, T.: Introductory traffic accounting practice for advanced management. In: Proceedings of APIEMS 2010, Melaka, 7–10 December 2010Google Scholar
  12. 12.
    Matsui, M.: A study on optimal operating policies in conveyor-serviced production system. Dissertation, Tokyo Institute of Technology, Japan (1981) (in Japanese)Google Scholar
  13. 13.
    Matsui, M.: Conveyor-serviced production system: queueing formulas, CSPS analysis and 2-level mathematical formulation. Unpublished paper (1982)Google Scholar
  14. 14.
    Matsui, M.: A game-theoretic consideration of order-selection and switch-over policy. Preprints of Japan Industrial Management Association, 48–49 (Fall 1983) (in Japanese)Google Scholar
  15. 15.
    Matsui, M.: On a joint policy of order-selection and switch-over. J. Jpn. Ind. Manag. Assoc. 39(2), 83–87 (1988) (in Japanese)Google Scholar
  16. 16.
    Matsui, M.: An optimal design problem of production and queueing systems. In: Symposium on Performance Models for Information Communication Networks, Hakone, Japan, 77–85 1994 (in Japanese); Optimal economic design of production and queueing systems. In: Abstracts of APORS’94, Fukuoka, Japan, 266 (1994)Google Scholar
  17. 17.
    Matsui, M.: A management game model: economic traffic, lead time and pricing setting. J. Jpn. Ind. Manag. Assoc. 53(1), 1–9 (2002)Google Scholar
  18. 18.
    Matsui, M.: MGM-modeling and balancing problem in supply chain management. In: Proceedings of APIEMS 2004 & IFPR-APR, Gold Coast, Australia, CD-ROM 2004Google Scholar
  19. 19.
    Matsui, M.: CSPS model: look-ahead controls and physics. Int. J. Prod. Res. 43(10), 2001–2025 (2005)CrossRefGoogle Scholar
  20. 20.
    Matsui, M.: Manufacturing and Service Enterprise with Risks: A Stochastic Management Approach. Springer, New York (2008)Google Scholar
  21. 21.
    Matsui, M.: Division of work, stochastic (re-balancing) and demand speed: from assembly line toward demand chain. J. Jpn. Ind. Manag. Assoc. 60(6E), 324–330 (2010)Google Scholar
  22. 22.
    Matsui, M.: Economic (re-)balancing problem: a visualization of invisible hand and ellipse theory for multi-center. In: Proceedings of the International Conference on Production Research, Stuttgart, Germany, CD-ROM August 2011Google Scholar
  23. 23.
    Matsui, M.: Conveyor-like network and balancing. In: Savarese, A.B. (ed.) Manufacturing Engineering, pp. 65–87. Nova, New York (2011)Google Scholar
  24. 24.
    Matsui, M.: Economic demand-balancing problem of multi-center. In: Tavidze, A. (ed.) Economics, Trade and Globalization, Progress of Economics Research, vol. 25, pp. 227–235. NOVA Scientific Publishers, New York (2012)Google Scholar
  25. 25.
    Matsui, M.: Economic station-centered network and invisible collaboration: a cyclic vs. semi-cyclic view. Theor. Econ. Lett. 2, 344–349 (2012)CrossRefGoogle Scholar
  26. 26.
    Matsui, M., Aita, S., Nof, S.Y., Chen, J., Nishibori, Y.: Analysis of cooperation effects in two-center production models. Int. J. Prod. Econ. 84, 101–112 (2003)CrossRefGoogle Scholar
  27. 27.
    Matsui, M., Dai, Y.: Parallel SCM: balancing issues of make-or-buy and supplier-retailers types. J. Jpn. Ind. Manag. Assoc. 60(1), 1–10 (2009)Google Scholar
  28. 28.
    Matsui, M., Ichihara, S.: A game approach to SCM: modeling, formulation example and integral optimization. J. Jpn. Soc. Logist. Syst. 4(1), 67–80 (2003) (in Japanese)Google Scholar
  29. 29.
    Matsui, M., Motohashi, M.: A basic study for strategic supply chain balancing. J. Jpn. Soc. Logist. Syst. 7(1), 21–31 (2007)Google Scholar
  30. 30.
    Matsui, M., Shingu, T., Makabe, H.: Conveyor-serviced production system: an analytic framework for station-centered approach by some queueing formulas. Preliminary Reports of the Operations Research Society of Japan, 104107 (Autumn 1997) (in Japanese)Google Scholar
  31. 31.
    Matsui, M., Shingu, T., Makabe, H.: Conveyor-serviced-production system(II): 2-level mathematical formulation and application. Preliminary Report of the Operations Research Society of Japan, 92–93 (Autumn 1982) (in Japanese)Google Scholar
  32. 32.
    Reis, L.L., Brennan, J.J., Crisp Jr., R.M.: A Markovian analysis for delay at conveyor-serviced production station. Int. J. Prod. Res. 5(3), 201–211 (1967)CrossRefGoogle Scholar
  33. 33.
    Smith, A.: The Wealth of Nations. Encyclopedia Britannica, 1952 edition (1776)Google Scholar
  34. 34.
    Stamp, D.: The Invisible Assembly Line-Boosting White-Collar Productivity in the New Economy, American Management Association (AMACOM) (1995)Google Scholar
  35. 35.
    Sun, J., Yamamoto, H., Matsui, M., Watanabe, K.: A study on limited-cycle problem with multiple periods. In: Proceedings of the Asia Pacific Industrial Engineering and Management Society, Bali, Indonesia, CD-ROM 2008Google Scholar
  36. 36.
    Yamada, T., Matsui, M.: 2-stage design method for assembly line system: a unified approach. J. Jpn. Ind. Manag. Assoc. 51(6), 538–549 (2001) (in Japanese)Google Scholar
  37. 37.
    Yamato, J., Yamada, T., Matsui, M., Nof, S.Y.: A cooperation/collaboration logic by sharing information in a ERP model. In: Proceedings of ICPR 2003, Blacksburg, VA, CD-ROM 2003Google Scholar
  38. 38.
    Yoon, S.W., Matsui, M., Yamada, T., Nof, S.Y.: Analysis of effectiveness and benefits of collaboration modes with information-and knowledge-sharing. J. Intell. Manuf. 22(1), 101–112 (2011)CrossRefGoogle Scholar

Copyright information

© Springer Japan 2014

Authors and Affiliations

  • Masayuki Matsui
    • 1
    • 2
  1. 1.The University of Electro-CommunicationsChofuJapan
  2. 2.Department of Industrial Engineering and Management Faculty of EngineeringKanagawa UniversityYokohamaJapan

Personalised recommendations