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

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  • 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
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    References listed on IDEAS

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    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. M. S. Bazaraa & J. J. Goode, 1973. "On Symmetric Duality in Nonlinear Programming," Operations Research, INFORMS, vol. 21(1), pages 1-9, February.
    3. 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.
    4. 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.
    5. 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.
    6. 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.
    7. 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.
    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.
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