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Posynomial geometric programming with interval exponents and coefficients

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  • Liu, Shiang-Tai

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  • Liu, Shiang-Tai, 2008. "Posynomial geometric programming with interval exponents and coefficients," European Journal of Operational Research, Elsevier, vol. 186(1), pages 17-27, April.
    • Handle: RePEc:eee:ejores:v:186:y:2008:i:1:p:17-27
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    References listed on IDEAS

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    1. Kao, Chiang & Liu, Shiang-Tai, 2004. "Predicting bank performance with financial forecasts: A case of Taiwan commercial banks," Journal of Banking & Finance, Elsevier, vol. 28(10), pages 2353-2368, October.
    2. Roy, T.K. & Maiti, M., 1997. "A fuzzy EOQ model with demand-dependent unit cost under limited storage capacity," European Journal of Operational Research, Elsevier, vol. 99(2), pages 425-432, June.
    3. Chris Chu & D.F. Wong, 2001. "VLSI Circuit Performance Optimization by Geometric Programming," Annals of Operations Research, Springer, vol. 105(1), pages 37-60, July.
    4. Jung, Hoon & Klein, Cerry M., 2001. "Optimal inventory policies under decreasing cost functions via geometric programming," European Journal of Operational Research, Elsevier, vol. 132(3), pages 628-642, August.
    5. Fang, S. C. & Peterson, E. L. & Rajasekera, J. R., 1988. "Controlled dual perturbations for posynomial programs," European Journal of Operational Research, Elsevier, vol. 35(1), pages 111-117, April.
    6. William W. Cooper & Kyung Sam Park & Gang Yu, 2001. "An Illustrative Application of Idea (Imprecise Data Envelopment Analysis) to a Korean Mobile Telecommunication Company," Operations Research, INFORMS, vol. 49(6), pages 807-820, December.
    7. Elmor Peterson, 2001. "The Fundamental Relations between Geometric Programming Duality, Parametric Programming Duality, and Ordinary Lagrangian Duality," Annals of Operations Research, Springer, vol. 105(1), pages 109-153, July.
    8. Kim, DaeSoo & Lee, Won J., 1998. "Optimal joint pricing and lot sizing with fixed and variable capacity," European Journal of Operational Research, Elsevier, vol. 109(1), pages 212-227, August.
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    Cited by:

    1. G. S. Mahapatra & T. K. Mandal, 2012. "Posynomial Parametric Geometric Programming with Interval Valued Coefficient," Journal of Optimization Theory and Applications, Springer, vol. 154(1), pages 120-132, July.
    2. Rashed Khanjani Shiraz & Madjid Tavana & Hirofumi Fukuyama & Debora Di Caprio, 2017. "Fuzzy chance-constrained geometric programming: the possibility, necessity and credibility approaches," Operational Research, Springer, vol. 17(1), pages 67-97, April.
    3. Milan Hladík, 2011. "Optimal value bounds in nonlinear programming with interval data," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 19(1), pages 93-106, July.
    4. Wasim Akram Mandal, 2021. "Weighted Tchebycheff Optimization Technique Under Uncertainty," Annals of Data Science, Springer, vol. 8(4), pages 709-731, December.
    5. Hladík, Milan, 2010. "Generalized linear fractional programming under interval uncertainty," European Journal of Operational Research, Elsevier, vol. 205(1), pages 42-46, August.
    6. Rashed Khanjani-Shiraz & Salman Khodayifar & Panos M. Pardalos, 2021. "Copula theory approach to stochastic geometric programming," Journal of Global Optimization, Springer, vol. 81(2), pages 435-468, October.
    7. Rashed Khanjani Shiraz & Hirofumi Fukuyama, 2018. "Integrating geometric programming with rough set theory," Operational Research, Springer, vol. 18(1), pages 1-32, April.
    8. Mrinal Jana & Geetanjali Panda, 2018. "$$\chi$$ χ -Optimal solution of single objective nonlinear optimization problem with uncertain parameters," OPSEARCH, Springer;Operational Research Society of India, vol. 55(1), pages 165-186, March.
    9. Rashed Khanjani Shiraz & Madjid Tavana & Debora Di Caprio & Hirofumi Fukuyama, 2016. "Solving Geometric Programming Problems with Normal, Linear and Zigzag Uncertainty Distributions," Journal of Optimization Theory and Applications, Springer, vol. 170(3), pages 1075-1078, September.
    10. Belleh Fontem, 2023. "Robust Chance-Constrained Geometric Programming with Application to Demand Risk Mitigation," Journal of Optimization Theory and Applications, Springer, vol. 197(2), pages 765-797, May.
    11. Rashed Khanjani Shiraz & Madjid Tavana & Debora Di Caprio & Hirofumi Fukuyama, 2016. "Solving Geometric Programming Problems with Normal, Linear and Zigzag Uncertainty Distributions," Journal of Optimization Theory and Applications, Springer, vol. 170(1), pages 243-265, July.

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