On complementary quadratic fractional programming problem

  • Authors

    • Basiya Abdulrahim univerisity of garmian, Sulaimani-kalar
    2014-08-25
    https://doi.org/10.14419/ijamr.v3i3.3138

  • Abstract

    In this paper, a class of optimization problems has been considered where quadratic fractional programming problem has an additional characteristic, i.e Complementary quadratic fractional programming problem (CQFPP) and consequently a convergent algorithm has been developed in the following discussion. Numerical examples have been provided in support of the theory. By using Matlab 2011 version 7.12.0.635 (R2011a).

    Keywords: CQFPP, Solving CQFPP by new technique to modified simplex method.

  • References

    1. Arora, R. and Arora, S. R., “Solving Linear-Quadratic Bilevel Programming Problem Using Kuhn-Tucker Conditions”, AMO-Advanced Modeling and Optimization, Vol. 13, No. 3, (2011), PP. 366-380, ISSN: 1841-4311.
    2. Arora, S. R. and Narang, R., “0-1 Bilevel Fractional Programming Problem with Independent Followers”, International Journal of Optimization Theory, Methods and Applications, Global information Publisher (H.K), Co. , Ltd, Vol. 1, No. 2, (2009), PP. 225-238.
    3. Fang, Shu-Cherng , Gao, D.Y., Sheu, Ruey-Lin, and Xing, W., “Global Optimization for a Class of Fractional Programming Problems”, J Glob Optim., Springer Science+ Business Media, LLC, Vol. 45, (2009), PP. 337–353.
    4. Gupta, A. K. and Sharma, J. K., “Quadratic Complementary Programming”, Journal of the Korean Operations Research Society, Vol. 7, (1982).
    5. Ibaraki, T., “Complementary Programming”, Worlsing paper department of applied Mathematics and Statistics, Kyoto University, Kyoto, Japan, (1969).
    6. Ibaraki, T., “Complementary Programming”, Operations Research, Vol. 19, No. 6, (1971), PP. 1523-1529.
    7. Jahan, S., and Islam, M. A., “A Complementary Slackness Theorem for Linear Fractional Programming Problem”, International Journal of Basic and Applied Sciences IJBAS-IJENS, Vol. 10 , No. 2, (2010), PP. 39-44.
    8. Judice, J. J., “Algorithms for Linear Programming with Linear Complementarity Constraints”, (2011).
    9. Sharma, S. D., “Operations Research”, Kedar Nath Ram Nath BCO., Meerut, India, (1988), P(559).
    10. Sharma, S. D., “Nonlinear and Dynamic Programming”, Kedar Nath Ram Nath and CO., Meerut, India, (1980), P(547).
    11. Sulaiman, N. A., “Extreme Point Quadratic Programming problem Techniques”, M.Sc. thesis, University of Salahaddin, Hawler/Iraq, (1989).

  • Downloads

    Additional Files

  • How to Cite

    Abdulrahim, B. (2014). On complementary quadratic fractional programming problem. International Journal of Applied Mathematical Research, 3(3), 348-352. https://doi.org/10.14419/ijamr.v3i3.3138

    Received date: 2014-07-09

    Accepted date: 2014-08-10

    Published date: 2014-08-25