Skip to main content
Log in

A Neural Network Parallel Algorithm for Meeting Schedule Problems

  • Published:
Applied Intelligence Aims and scope Submit manuscript

Abstract

A parallel algorithm for solving meeting schedule problems is presented in this paper where the problem is NP-complete. The proposed system is composed of two maximum neural networks which interact with each other. One is an M × S neural network to assign meetings to available time slots on a timetable where M andS are the number of meetings and the number of time slots, respectively. The other is an M × P neural network to assign persons to the meetings where P is the number of persons. The simulation results show that the state of the system always converges to one of the solutions. Our empirical study shows that the solution quality of the proposed algorithm does not degrade with the problem size.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. M.R. Garey and D.S. Johnson, Computers and Intractability: A Guide to the Theory of NP-Completeness, Freeman: San Francisco, CA, 1979.

    Google Scholar 

  2. J. Hopfield and D. Tank, “Neural computation of decisions in optimization problems,” Biol. Cybern., vol. 52, pp. 141–152, 1985.

    Google Scholar 

  3. K.C. Lee and Y. Takefuji, “A generalized maximum neural network for the module orientation problem,” Int. J. Electronics, vol. 72,no. 3, pp. 331–335, 1992.

    Google Scholar 

  4. K.C. Lee, N. Funabiki, and Y. Takefuji, “A parallel improvement algorithm for bipartite subgraph problem,” IEEE Trans. on Neural Networks, vol. 3,no. 1, pp. 139–145, 1992.

    Google Scholar 

  5. S. Sen and E.H. Durfee, “A formal study of distributed meeting scheduling: Preliminary results,” SIGOIS Bulletin, vol. 12,nos. 2/3, pp. 55–68, 1991.

    Google Scholar 

  6. K. Sugihara, T. Kikuno, and N. Yoshida, “A meeting scheduler for office automation,” IEEE Trans. on Software Engineering, vol. 15,no. 10, pp. 1141–1146, 1989.

    Google Scholar 

  7. H. Szu, “Fast TSP algorithm based on binary neuron output and analog input using the zero-diagonal interconnect matrix and necessary and sufficient constraints of the permutation matrix,” in Proc. of the International Conference on Neural Networks, IEEE: Piscataway, NJ, 1988, vol. II, pp. 59–266.

    Google Scholar 

  8. Y. Takefuji, Neural Network Parallel Computing, Kluwer Academic Publishers: Norwell, MA, 1992.

    Google Scholar 

  9. Y. Takefuji and K.C. Lee, “A parallel algorithm for tiling problems,” IEEE Trans. on Neural Networks, vol. 1,no. 1, pp. 143–145, 1990.

    Google Scholar 

  10. Y. Takefuji and K.C. Lee, “Artificial neural networks for four-coloring map problem and k-colorability problems,” IEEE Trans. on Circuits Sys., vol. 38,no. 3, pp. 326–333, 1991.

    Google Scholar 

  11. S.L. Teger, “Factor impacting the evolution of office automation,” Proc. IEEE, vol. 71,no. 4, pp. 503–511, 1983.

    Google Scholar 

  12. K. Tsuchiya and Y. Takefuji, “A neural network algorithm for the no-three-in-line problem,” Neurocomputing, vol. 8, pp. 43–49, 1995.

    Google Scholar 

  13. K. Tsuchiya, S. Bharitkar, and Y. Takefuji, “A neural network approach to facility layout problems,” to appear in European Journal of Operational Research.

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Tsuchiya, K., Takefuji, Y. A Neural Network Parallel Algorithm for Meeting Schedule Problems. Applied Intelligence 7, 205–213 (1997). https://doi.org/10.1023/A:1008220515122

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1008220515122

Navigation