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All issues Volume 56 / No 4 (July-August 2022) RAIRO-Oper. Res., 56 4 (2022) 2833-2851 References
Open Access
Issue
RAIRO-Oper. Res.
Volume 56, Number 4, July-August 2022
Page(s) 2833 - 2851
DOI https://doi.org/10.1051/ro/2022132
Published online 24 August 2022
  • M. Avriel and D.J. Wilde, Engineering design under uncertainty. Ind. Eng. Chem. Process Des. Dev. 8 (1969) 127–131. [Google Scholar]
  • M. Avriel, R. Dembo and U. Passy, Solution of generalized geometric programs. Int. J. Numer. Method Eng. 9 (1975) 149–168. [CrossRef] [Google Scholar]
  • C.S. Beightler and D.T. Phillips, Applied Geometric Programming. Wiley, New York (1976). [Google Scholar]
  • T.C.E. Cheng, An economic order quantity model with demand-dependent unit production cost and imperfect production process. IIE Trans. 23 (1991) 23–28. [CrossRef] [Google Scholar]
  • J.C. Choi and D.L. Bricker, Effectiveness of a geometric programming algorithm for optimization of machining economics models. Comput. Oper. Res. 10 (1996) 957–961. [CrossRef] [Google Scholar]
  • C. Chu and D.F. Wong, VLSI circuit performance optimization by geometric programming. Ann. Oper. Res. 105 (2001) 37–60. [CrossRef] [MathSciNet] [Google Scholar]
  • R.J. Duffin and E.L. Peterson, Geometric programming with signomials. J. Optim. Theory Appl. 11 (1973) 3–35. [CrossRef] [MathSciNet] [Google Scholar]
  • R.J. Duffin, E.L. Peterson and C.M. Zener, Geometric Programming Theory and Applications. Wiley, New York (1967). [Google Scholar]
  • S.C. Fang, E.L. Peterson and J.R. Rajasekera, Controlled dual perturbations for posynomial programs. Eur. J. Oper. Res. 35 (1988) 111–117. [CrossRef] [Google Scholar]
  • M.D. Hershenson, S.P. Boyd and T.H. Lee, Optimal design of a CMOS op-amp via geometric programming. IEEE Trans. Comput. Aid. Design. 20 (2001) 1–21. [CrossRef] [Google Scholar]
  • H. Jung and C.M. Klein, Optimal inventory policies under decreasing cost functions via geometric programming. Eur. J. Oper. Res. 132 (2001) 628–642. [CrossRef] [Google Scholar]
  • D. Kim and W.J. Lee, Optimal joint pricing and lot sizing with fixed and variable capacity. Eur. J. Oper. Res. 109 (1998) 212–227. [CrossRef] [Google Scholar]
  • K.O. Kortanek and H. No, A second order affine scaling algorithm for the geometric programming dual with logarithmic barrier. Optimization 23 (1992) 303–322. [CrossRef] [MathSciNet] [Google Scholar]
  • K.O. Kortanek, X. Xu and Y. Ye, An infeasible interior-point algorithm for solving primal and dual geometric programs. Math. Program. 76 (1997) 155–181. [Google Scholar]
  • W.J. Lee, Determining order quantity and selling price by geometric programming. Optimal solution, bounds, and sensitivity. Decis. Sci. 24 (1993) 76–87. [CrossRef] [Google Scholar]
  • S.T. Liu, Posynomial geometric programming with parametric uncertainty. Eur. J. Oper. Res. 168 (2006) 345–353. [CrossRef] [Google Scholar]
  • S.T. Liu, Geometric programming with fuzzy parameters in engineering optimization. Int. J. Approx. Reason. 46 (2007) 484–498. [CrossRef] [Google Scholar]
  • B. Liu, Uncertainty Theory, 4th edition. Springer, Berlin (2015). [Google Scholar]
  • C.D. Maranas and C.A. Floudas, Global optimization in generalized geometric programming. Comput. Chem. Eng. 21 (1997) 351–369. [CrossRef] [Google Scholar]
  • P. Peykani, E. Mohammadi, M. Saman Pishvaee, M. Rostami Malkhalifeh and A. Jabbarzadeh, A novel fuzzy data envelopment analysis based on robust possibilistic programming: possibility, necessity and credibility-based approaches. RAIRO-Oper. Res. 52 (2018) 1445–1463. [CrossRef] [EDP Sciences] [MathSciNet] [Google Scholar]
  • J. Rajgopal, An alternative approach to the refined duality theory of geometric programming, J. Math. Anal. Appl. 167 (1992) 266–288. [CrossRef] [MathSciNet] [Google Scholar]
  • J. Rajgopal and D.L. Bricker, Posynomial geometric programming as a special case of semi-infinite linear programming. J. Optim. Theory Appl. 66 (1990) 455–475. [CrossRef] [MathSciNet] [Google Scholar]
  • J. Rajgopal and D.L. Bricker, Solving posynomial geometric programming problems via generalized linear programming. Comput. Optim. Appl. 21 (2002) 95–109. [CrossRef] [MathSciNet] [Google Scholar]
  • T.K. Roy and M. Maiti, A fuzzy EOQ model with demand-dependent unit cost under limited storage capacity. Eur. J. Oper. Res. 99 (1997) 425–432. [CrossRef] [Google Scholar]
  • C.H. Scott and T.R. Jefferson, Allocation of resources in project management. Int. J. Syst. Sci. 26 (1995) 413–420. [CrossRef] [Google Scholar]
  • R.K. Shiraz and H. Fukuyama, Integrating geometric programming with rough set theory. Oper. Res. Int. J. 18 (2018) 1–32. [CrossRef] [Google Scholar]
  • R.K. Shiraz, M. Tavana, D. Di Caprio and H. Fukuyama, Solving geometric programming problems with normal, linear and zigzag uncertainty distributions. J. Optim. Theory Appl. 170 (2016) 243–265. [CrossRef] [MathSciNet] [Google Scholar]
  • R.K. Shiraz, M. Tavana, H. Fukuyama and D. Di Caprio, Fuzzy chance-constrained geometric programming: the possibility, necessity and credibility approaches. Oper. Res. Int. J. 17 (2017) 67–97. [CrossRef] [Google Scholar]
  • R.K. Shiraz, M. Tavana and D. Di Caprio, Chance-constrained data envelopment analysis modeling with random-rough data. RAIRO-Oper. Res. 52 (2018) 259–284. [CrossRef] [EDP Sciences] [MathSciNet] [Google Scholar]
  • R.K. Shiraz, S. Khodayifar and P.M. Pardalos, Copula theory approach to stochastic geometric programming. J. Global Optim. 81 (2021) 435–468. [CrossRef] [MathSciNet] [Google Scholar]
  • S.B. Sinha, A. Biswas and M.P. Biswal, Geometric programming problems with negative degrees of difficulty. Eur. J. Oper. Res. 28 (1987) 101–103. [CrossRef] [Google Scholar]
  • E.L. Solano-Charris, C. Prins and A.C. Santos, Solving the bi-objective robust vehicle routing problem with uncertain costs and demands. RAIRO-Oper. Res. 50 (2016) 689–714. [CrossRef] [EDP Sciences] [MathSciNet] [Google Scholar]
  • B.M. Worrall and M.A. Hall, The analysis of an inventory control model using posynomial geometric programming. Int. J. Prod. Res. 20 (1982) 657–667. [CrossRef] [Google Scholar]
  • H.H. Yang and D.L. Bricker, Investigation of path-following algorithms for signomial geometric programming problems. Eur. J. Oper. Res. 103 (1997) 230–241. [CrossRef] [Google Scholar]
  • J. Zhu, K.O. Kortanek and S. Huang, Controlled dual perturbations for central path trajectories in geometric programming. Eur. J. Oper. Res. 73 (1994) 524–531. [CrossRef] [Google Scholar]

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