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An Algorithm for Separable Nonconvex Programming Problems

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Cited by:

  1. Pete Janes & Alistair Rendell, 2013. "Deterministic global optimization in ab-initio quantum chemistry," Journal of Global Optimization, Springer, vol. 56(2), pages 537-558, June.
  2. Hamidur Rahman & Ashutosh Mahajan, 2019. "Facets of a mixed-integer bilinear covering set with bounds on variables," Journal of Global Optimization, Springer, vol. 74(3), pages 417-442, July.
  3. Dominik Bongartz & Alexander Mitsos, 2017. "Deterministic global optimization of process flowsheets in a reduced space using McCormick relaxations," Journal of Global Optimization, Springer, vol. 69(4), pages 761-796, December.
  4. Gjerdrum, Jonatan & Shah, Nilay & Papageorgiou, Lazaros G., 2002. "Fair transfer price and inventory holding policies in two-enterprise supply chains," European Journal of Operational Research, Elsevier, vol. 143(3), pages 582-599, December.
  5. Nonas, Sigrid Lise & Thorstenson, Anders, 2000. "A combined cutting-stock and lot-sizing problem," European Journal of Operational Research, Elsevier, vol. 120(2), pages 327-342, January.
  6. Sinha, Ankur & Das, Arka & Anand, Guneshwar & Jayaswal, Sachin, 2021. "A General Purpose Exact Solution Method for Mixed Integer Concave Minimization Problems," IIMA Working Papers WP 2021-03-01, Indian Institute of Management Ahmedabad, Research and Publication Department.
  7. Takahito Kuno & Toshiyuki Masaki, 2013. "A practical but rigorous approach to sum-of-ratios optimization in geometric applications," Computational Optimization and Applications, Springer, vol. 54(1), pages 93-109, January.
  8. Vedat Verter & M. Cemal Dincer, 1995. "Facility location and capacity acquisition: An integrated approach," Naval Research Logistics (NRL), John Wiley & Sons, vol. 42(8), pages 1141-1160, December.
  9. April K. Andreas & J. Cole Smith, 2008. "Mathematical Programming Algorithms for Two-Path Routing Problems with Reliability Considerations," INFORMS Journal on Computing, INFORMS, vol. 20(4), pages 553-564, November.
  10. Massol, Olivier & Banal-Estañol, Albert, 2014. "Export diversification through resource-based industrialization: The case of natural gas," European Journal of Operational Research, Elsevier, vol. 237(3), pages 1067-1082.
  11. Mario Vanhoucke, 2002. "Optimal due date assignment in project scheduling," Vlerick Leuven Gent Management School Working Paper Series 2002-19, Vlerick Leuven Gent Management School.
  12. Sinha, Ankur & Das, Arka & Anand, Guneshwar & Jayaswal, Sachin, 2023. "A general purpose exact solution method for mixed integer concave minimization problems," European Journal of Operational Research, Elsevier, vol. 309(3), pages 977-992.
  13. Wooseung Jang & J. George Shanthikumar, 2002. "Stochastic allocation of inspection capacity to competitive processes," Naval Research Logistics (NRL), John Wiley & Sons, vol. 49(1), pages 78-94, February.
  14. Yong Xia & Longfei Wang & Meijia Yang, 2019. "A fast algorithm for globally solving Tikhonov regularized total least squares problem," Journal of Global Optimization, Springer, vol. 73(2), pages 311-330, February.
  15. Jens Deussen & Uwe Naumann, 2023. "Subdomain separability in global optimization," Journal of Global Optimization, Springer, vol. 86(3), pages 573-588, July.
  16. Achim Wechsung & Paul Barton, 2014. "Global optimization of bounded factorable functions with discontinuities," Journal of Global Optimization, Springer, vol. 58(1), pages 1-30, January.
  17. M. Locatelli & U. Raber, 2000. "On Convergence of the Simplicial Branch-and-Bound Algorithm Based on ω-Subdivisions," Journal of Optimization Theory and Applications, Springer, vol. 107(1), pages 69-79, October.
  18. T. Kuno, 1999. "Solving a Class of Multiplicative Programs with 0–1 Knapsack Constraints," Journal of Optimization Theory and Applications, Springer, vol. 103(1), pages 121-135, October.
  19. Takahito Kuno, 2022. "A revision of the rectangular algorithm for a class of DC optimization problems," Journal of Global Optimization, Springer, vol. 83(2), pages 187-200, June.
  20. M. Sun, 2010. "A fast memoryless interval-based algorithm for global optimization," Journal of Global Optimization, Springer, vol. 47(2), pages 247-271, June.
  21. Jungho Park & Hadi El-Amine & Nevin Mutlu, 2021. "An Exact Algorithm for Large-Scale Continuous Nonlinear Resource Allocation Problems with Minimax Regret Objectives," INFORMS Journal on Computing, INFORMS, vol. 33(3), pages 1213-1228, July.
  22. Jiashan Wang & Yingying Kang & Changhyun Kwon & Rajan Batta, 2012. "Dual Toll Pricing for Hazardous Materials Transport with Linear Delay," Networks and Spatial Economics, Springer, vol. 12(1), pages 147-165, March.
  23. Achim Wechsung & Spencer Schaber & Paul Barton, 2014. "The cluster problem revisited," Journal of Global Optimization, Springer, vol. 58(3), pages 429-438, March.
  24. Achim Wechsung & Joseph Scott & Harry Watson & Paul Barton, 2015. "Reverse propagation of McCormick relaxations," Journal of Global Optimization, Springer, vol. 63(1), pages 1-36, September.
  25. Sinha, Ankur & Das, Arka & Anand, Guneshwar & Jayaswal, Sachin, 2021. "A General Purpose Exact Solution Method for Mixed Integer Concave Minimization Problems (revised as on 12/08/2021)," IIMA Working Papers WP 2021-03-01, Indian Institute of Management Ahmedabad, Research and Publication Department.
  26. Takahito Kuno, 2018. "A modified simplicial algorithm for convex maximization based on an extension of $$\omega $$ ω -subdivision," Journal of Global Optimization, Springer, vol. 71(2), pages 297-311, June.
  27. Emmanuel Ogbe & Xiang Li, 2019. "A joint decomposition method for global optimization of multiscenario nonconvex mixed-integer nonlinear programs," Journal of Global Optimization, Springer, vol. 75(3), pages 595-629, November.
  28. Benson, Harold P., 2006. "Fractional programming with convex quadratic forms and functions," European Journal of Operational Research, Elsevier, vol. 173(2), pages 351-369, September.
  29. Xi, Haoning & Aussel, Didier & Liu, Wei & Waller, S.Travis. & Rey, David, 2024. "Single-leader multi-follower games for the regulation of two-sided mobility-as-a-service markets," European Journal of Operational Research, Elsevier, vol. 317(3), pages 718-736.
  30. Lemaréchal, Claude & Ouorou, Adam & Petrou, Georgios, 2010. "Robust network design in telecommunications under polytope demand uncertainty," European Journal of Operational Research, Elsevier, vol. 206(3), pages 634-641, November.
  31. Jochen Gorski & Frank Pfeuffer & Kathrin Klamroth, 2007. "Biconvex sets and optimization with biconvex functions: a survey and extensions," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 66(3), pages 373-407, December.
  32. Keely L. Croxton & Bernard Gendron & Thomas L. Magnanti, 2003. "A Comparison of Mixed-Integer Programming Models for Nonconvex Piecewise Linear Cost Minimization Problems," Management Science, INFORMS, vol. 49(9), pages 1268-1273, September.
  33. Frank Karsten & Marco Slikker & Peter Borm, 2017. "Cost allocation rules for elastic single‐attribute situations," Naval Research Logistics (NRL), John Wiley & Sons, vol. 64(4), pages 271-286, June.
  34. Harold P. Benson, 1996. "Deterministic algorithms for constrained concave minimization: A unified critical survey," Naval Research Logistics (NRL), John Wiley & Sons, vol. 43(6), pages 765-795, September.
  35. Vanhoucke, Mario & Demeulemeester, Erik & Herroelen, Willy, 2003. "Progress payments in project scheduling problems," European Journal of Operational Research, Elsevier, vol. 148(3), pages 604-620, August.
  36. Harold P. Benson & S. Selcuk Erenguc, 1990. "An algorithm for concave integer minimization over a polyhedron," Naval Research Logistics (NRL), John Wiley & Sons, vol. 37(4), pages 515-525, August.
  37. Harold P. Benson, 2004. "Concave envelopes of monomial functions over rectangles," Naval Research Logistics (NRL), John Wiley & Sons, vol. 51(4), pages 467-476, June.
  38. Paula Amaral & Luís Fernandes & Joaquim Júdice & Hanif Sherali, 2009. "On optimal zero-preserving corrections for inconsistent linear systems," Computational Optimization and Applications, Springer, vol. 45(4), pages 645-666, December.
  39. Takahito Kuno & Paul Buckland, 2012. "A convergent simplicial algorithm with ω-subdivision and ω-bisection strategies," Journal of Global Optimization, Springer, vol. 52(3), pages 371-390, March.
  40. Reiner Horst, 1990. "Deterministic methods in constrained global optimization: Some recent advances and new fields of application," Naval Research Logistics (NRL), John Wiley & Sons, vol. 37(4), pages 433-471, August.
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