IDEAS home Printed from https://ideas.repec.org/a/eee/ejores/v198y2009i1p37-42.html
   My bibliography  Save this article

Symmetric duality for minimax mixed integer programming problems with pseudo-invexity

Author

Listed:
  • Mishra, S.K.
  • Wang, S.Y.
  • Lai, K.K.

Abstract

In this paper, we consider the pair of symmetric dual multiobjective variational mixed integer programs proposed by Chen and Yang [X. Chen, J. Yang, Symmetric duality for minimax multiobjective variational mixed integer programming problems with partial-invexity, European Journal of Operational Research 181 (2007) 76-85.] and extend some of their results under the assumptions of partial-pseudo-invexity and separability on the functions involved. These results include several results available in literature as special cases.

Suggested Citation

  • Mishra, S.K. & Wang, S.Y. & Lai, K.K., 2009. "Symmetric duality for minimax mixed integer programming problems with pseudo-invexity," European Journal of Operational Research, Elsevier, vol. 198(1), pages 37-42, October.
    • Handle: RePEc:eee:ejores:v:198:y:2009:i:1:p:37-42
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0377-2217(08)00731-5
    Download Restriction: Full text for ScienceDirect subscribers only
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Kim, Do Sang & Song, Young Ran, 2001. "Minimax and symmetric duality for nonlinear multiobjective mixed integer programming," European Journal of Operational Research, Elsevier, vol. 128(2), pages 435-446, January.
    2. Chen, Xiuhong & Yang, Jiangyu, 2007. "Symmetric duality for minimax multiobjective variational mixed integer programming problems with partial-invexity," European Journal of Operational Research, Elsevier, vol. 181(1), pages 76-85, August.
    3. Chen, Xiuhong, 2004. "Minimax and symmetric duality for a class of multiobjective variational mixed integer programming problems," European Journal of Operational Research, Elsevier, vol. 154(1), pages 71-83, April.
    4. M. S. Bazaraa & J. J. Goode, 1973. "On Symmetric Duality in Nonlinear Programming," Operations Research, INFORMS, vol. 21(1), pages 1-9, February.
    5. Kim, Do Sang & Yun, Ye Boon & Lee, Won Jung, 1998. "Multiobjective symmetric duality with cone constraints," European Journal of Operational Research, Elsevier, vol. 107(3), pages 686-691, June.
    6. Mishra, S. K., 2000. "Multiobjective second order symmetric duality with cone constraints," European Journal of Operational Research, Elsevier, vol. 126(3), pages 675-682, November.
    7. Suneja, S. K. & Lalitha, C. S. & Khurana, Seema, 2003. "Second order symmetric duality in multiobjective programming," European Journal of Operational Research, Elsevier, vol. 144(3), pages 492-500, February.
    8. Nanda, S. & Das, L. N., 1996. "Pseudo-invexity and duality in nonlinear programming," European Journal of Operational Research, Elsevier, vol. 88(3), pages 572-577, February.
    9. Mishra, S. K., 2000. "Second order symmetric duality in mathematical programming with F-convexity," European Journal of Operational Research, Elsevier, vol. 127(3), pages 507-518, December.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Mishra, S. K. & Wang, S. Y., 2005. "Second order symmetric duality for nonlinear multiobjective mixed integer programming," European Journal of Operational Research, Elsevier, vol. 161(3), pages 673-682, March.
    2. Mishra, S.K., 2006. "Mond-Weir type second order symmetric duality in non-differentiable minimax mixed integer programming problems," European Journal of Operational Research, Elsevier, vol. 170(2), pages 355-362, April.
    3. Mishra, S.K. & Wang, S.Y. & Lai, K.K. & Yang, F.M., 2007. "Mixed symmetric duality in non-differentiable multiobjective mathematical programming," European Journal of Operational Research, Elsevier, vol. 181(1), pages 1-9, August.
    4. Chen, Xiuhong, 2004. "Minimax and symmetric duality for a class of multiobjective variational mixed integer programming problems," European Journal of Operational Research, Elsevier, vol. 154(1), pages 71-83, April.
    5. Ahmad, I. & Husain, Z., 2007. "Minimax mixed integer symmetric duality for multiobjective variational problems," European Journal of Operational Research, Elsevier, vol. 177(1), pages 71-82, February.
    6. Suneja, S. K. & Aggarwal, Sunila & Davar, Sonia, 2002. "Multiobjective symmetric duality involving cones," European Journal of Operational Research, Elsevier, vol. 141(3), pages 471-479, September.
    7. Mishra, S.K. & Lai, K.K., 2007. "Second order symmetric duality in multiobjective programming involving generalized cone-invex functions," European Journal of Operational Research, Elsevier, vol. 178(1), pages 20-26, April.
    8. Kim, Moon Hee & Kim, Do Sang, 2008. "Non-differentiable symmetric duality for multiobjective programming with cone constraints," European Journal of Operational Research, Elsevier, vol. 188(3), pages 652-661, August.
    9. Ahmad, I. & Husain, Z., 2010. "On multiobjective second order symmetric duality with cone constraints," European Journal of Operational Research, Elsevier, vol. 204(3), pages 402-409, August.
    10. Chen, Xiuhong & Yang, Jiangyu, 2007. "Symmetric duality for minimax multiobjective variational mixed integer programming problems with partial-invexity," European Journal of Operational Research, Elsevier, vol. 181(1), pages 76-85, August.
    11. Gulati, T.R. & Saini, Himani & Gupta, S.K., 2010. "Second-order multiobjective symmetric duality with cone constraints," European Journal of Operational Research, Elsevier, vol. 205(2), pages 247-252, September.
    12. Kim, Do Sang & Song, Young Ran, 2001. "Minimax and symmetric duality for nonlinear multiobjective mixed integer programming," European Journal of Operational Research, Elsevier, vol. 128(2), pages 435-446, January.
    13. S. Gupta & N. Kailey, 2013. "Second-order multiobjective symmetric duality involving cone-bonvex functions," Journal of Global Optimization, Springer, vol. 55(1), pages 125-140, January.
    14. Yang, X.M. & Yang, X.Q. & Teo, K.L., 2006. "Converse duality in nonlinear programming with cone constraints," European Journal of Operational Research, Elsevier, vol. 170(2), pages 350-354, April.
    15. Kim, Do Sang & Yun, Ye Boon & Lee, Won Jung, 1998. "Multiobjective symmetric duality with cone constraints," European Journal of Operational Research, Elsevier, vol. 107(3), pages 686-691, June.
    16. Mishra, S. K., 2005. "Non-differentiable higher-order symmetric duality in mathematical programming with generalized invexity," European Journal of Operational Research, Elsevier, vol. 167(1), pages 28-34, November.
    17. Ahmad, I. & Sharma, Sarita, 2008. "Symmetric duality for multiobjective fractional variational problems involving cones," European Journal of Operational Research, Elsevier, vol. 188(3), pages 695-704, August.
    18. Mishra, S. K., 2000. "Multiobjective second order symmetric duality with cone constraints," European Journal of Operational Research, Elsevier, vol. 126(3), pages 675-682, November.
    19. Chandra, S. & Abha, 2000. "A note on pseudo-invexity and duality in nonlinear programming," European Journal of Operational Research, Elsevier, vol. 122(1), pages 161-165, April.
    20. Chandra, Suresh & Abha, 2000. "Technical note on symmetric duality in multiobjective programming: Some remarks on recent results," European Journal of Operational Research, Elsevier, vol. 124(3), pages 651-654, August.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:ejores:v:198:y:2009:i:1:p:37-42. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/eor .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.