Harold P. Benson - Publications

Affiliations: 
Information Systems and Operations Management University of Florida, Gainesville, Gainesville, FL, United States 
Area:
Operations Research, Mathematics

76 high-probability publications. We are testing a new system for linking publications to authors. You can help! If you notice any inaccuracies, please sign in and mark papers as correct or incorrect matches. If you identify any major omissions or other inaccuracies in the publication list, please let us know.

Year Citation  Score
2016 Yenipazarli A, Benson HP, Erenguc S. A branch-and-bound algorithm for the concave cost supply problem International Journal of Production Research. 54: 3943-3961. DOI: 10.1080/00207543.2016.1165358  0.731
2015 Benson HP. Using concave envelopes to globally solve the nonlinear sum of ratios problem Journal of Global Optimization. 22: 343-364. DOI: 10.1023/A:1013869015288  0.798
2012 Benson HP. An outcome space algorithm for optimization over the weakly efficient set of a multiple objective nonlinear programming problem Journal of Global Optimization. 52: 553-574. DOI: 10.1007/S10898-011-9786-Y  0.812
2010 Benson HP. Branch-and-bound outer approximation algorithm for sum-of-ratios fractional programs Journal of Optimization Theory and Applications. 146: 1-18. DOI: 10.1007/S10957-010-9647-8  0.812
2010 Benson HP. Simplicial branch-and-reduce algorithm for convex programs with a multiplicative constraint Journal of Optimization Theory and Applications. 145: 213-233. DOI: 10.1007/S10957-009-9636-Y  0.816
2009 Benson HP, Sun E. Branch-and-reduce algorithm for convex programs with additional multiplicative constraints European Journal of Operational Research. 199: 1-8. DOI: 10.1016/J.Ejor.2008.09.023  0.861
2008 Benson HP. Global maximization of a generalized concave multiplicative function Journal of Optimization Theory and Applications. 137: 105-120. DOI: 10.1007/S10957-007-9323-9  0.792
2007 Benson HP. A simplicial branch and bound duality-bounds algorithm for the linear sum-of-ratios problem European Journal of Operational Research. 182: 597-611. DOI: 10.1016/J.Ejor.2006.08.036  0.799
2007 Benson HP. Matthias Ehrgott, Multicriteria Optimization (second ed.), Springer (2005) ISBN 3-540-21398-8 323 pages European Journal of Operational Research. 176: 1961-1964. DOI: 10.1016/J.Ejor.2006.02.001  0.635
2007 Benson HP. Solving sum of ratios fractional programs via concave minimization Journal of Optimization Theory and Applications. 135: 1-17. DOI: 10.1007/S10957-007-9199-8  0.803
2006 Benson HP. Fractional programming with convex quadratic forms and functions European Journal of Operational Research. 173: 351-369. DOI: 10.1016/J.Ejor.2005.02.069  0.812
2006 Benson HP. Continuous modular design problem: Analysis and solution algorithms Journal of Optimization Theory and Applications. 131: 159-178. DOI: 10.1007/S10957-006-9141-5  0.78
2006 Benson HP. Maximizing the ratio of two convex functions over a convex set Naval Research Logistics. 53: 309-317. DOI: 10.1002/Nav.20143  0.796
2005 Benson HP, Boncompagni E, Guerinot ML. An iron uptake operon required for proper nodule development in the Bradyrhizobium japonicum-soybean symbiosis Molecular Plant-Microbe Interactions. 18: 950-959. PMID 16167765 DOI: 10.1094/Mpmi-18-0950  0.544
2005 Benson HP. Decomposition branch-and-bound based algorithm for linear programs with additional multiplicative constraints Journal of Optimization Theory and Applications. 126: 41-61. DOI: 10.1007/S10957-005-2655-4  0.805
2005 Benson HP. A global optimization approach for generating efficient points for multiobjective concave fractional programs Journal of Multi-Criteria Decision Analysis. 13: 15-28. DOI: 10.1002/Mcda.369  0.787
2004 Benson HP. On the global optimization of sums of linear fractional functions over a convex set Journal of Optimization Theory and Applications. 121: 19-39. DOI: 10.1023/B:Jota.0000026129.07165.5A  0.808
2004 Benson HP. On the Construction of Convex and Concave Envelope Formulas for Bilinear and Fractional Functions on Quadrilaterals Computational Optimization and Applications. 27: 5-22. DOI: 10.1023/B:Coap.0000004976.52180.7F  0.707
2004 Benson HP. Concave envelopes of monomial functions over rectangles Naval Research Logistics. 51: 467-476. DOI: 10.1002/Nav.20011  0.774
2003 Benson HP. Generating sum-of-ratios test problems in global optimization Journal of Optimization Theory and Applications. 119: 615-621. DOI: 10.1023/B:Jota.0000006959.01650.59  0.744
2002 Benson HP. Global optimization algorithm for the nonlinear sum of ratios problem Journal of Optimization Theory and Applications. 112: 1-29. DOI: 10.1023/A:1013072027218  0.793
2002 Benson HP, Sun E. A weight set decomposition algorithm for finding all efficient extreme points in the outcome set of a multiple objective linear program European Journal of Operational Research. 139: 26-41. DOI: 10.1016/S0377-2217(01)00153-9  0.846
2001 Benson HP. Global optimization of nonlinear sums of ratios Journal of Mathematical Analysis and Applications. 263: 301-315. DOI: 10.1006/Jmaa.2001.7650  0.805
2000 Benson HP, Sun E. Pivoting in an Outcome Polyhedron Journal of Global Optimization. 16: 301-323. DOI: 10.1023/A:1008364005245  0.8
2000 Benson HP, Boger GM. Outcome-space cutting-plane algorithm for linear multiplicative programming Journal of Optimization Theory and Applications. 104: 301-322. DOI: 10.1023/A:1004657629105  0.803
2000 Benson HP, Sun E. Outcome space partition of the weight set in multiobjective linear programming Journal of Optimization Theory and Applications. 105: 17-36. DOI: 10.1023/A:1004605810296  0.755
1999 Benson HP. Generalized γ-valid cut procedure for concave minimization Journal of Optimization Theory and Applications. 102: 289-298. DOI: 10.1023/A:1021776323080  0.734
1999 Benson HP. An Outcome Space Branch and Bound-Outer Approximation Algorithm for Convex Multiplicative Programming Journal of Global Optimization. 15: 315-342. DOI: 10.1023/A:1008316429329  0.774
1999 Benson HP, Sun E. New Closedness Results for Efficient Sets in Multiple Objective Mathematical Programming Journal of Mathematical Analysis and Applications. 238: 277-296. DOI: 10.1006/Jmaa.1999.6541  0.836
1998 Benson HP. Hybrid approach for solving multiple-objective linear programs in outcome space Journal of Optimization Theory and Applications. 98: 17-35. DOI: 10.1023/A:1022628612489  0.765
1998 Benson HP. Further Analysis of an Outcome Set-Based Algorithm for Multiple-Objective Linear Programming Journal of Optimization Theory and Applications. 97: 1-10. DOI: 10.1023/A:1022614814789  0.793
1998 Benson HP, Lee D, Mcclure JP. Global Optimization in Practice: An Application to Interactive Multiple Objective Linear Programming Journal of Global Optimization. 12: 353-372. DOI: 10.1023/A:1008285515867  0.752
1998 Benson HP. An Outer Approximation Algorithm for Generating All Efficient Extreme Points in the Outcome Set of a Multiple Objective Linear Programming Problem Journal of Global Optimization. 13: 1-24. DOI: 10.1023/A:1008215702611  0.793
1997 Benson HP, Boger GM. Multiplicative programming problems: Analysis and efficient point search heuristic Journal of Optimization Theory and Applications. 94: 487-510. DOI: 10.1023/A:1022600232285  0.799
1997 Denizel M, Erengüç S, Benson HP. Dynamic lot-sizing with setup cost reduction European Journal of Operational Research. 100: 537-549. DOI: 10.1016/S0377-2217(95)00327-4  0.668
1997 Benson HP, Sayin S. Towards finding global representations of the efficient set in multiple objective mathematical programming Naval Research Logistics. 44: 47-67. DOI: 10.1002/(Sici)1520-6750(199702)44:1<47::Aid-Nav3>3.0.Co;2-M  0.711
1997 Benson HP, Lee D, McCLURE JP. A multiple‐objective linear programming model for the citrus rootstock selection problem in Florida Journal of Multi-Criteria Decision Analysis. 6: 283-295. DOI: 10.1002/(Sici)1099-1360(199709)6:5<283::Aid-Mcda160>3.0.Co;2-R  0.727
1996 Benson HP, Lee D. Outcome-based algorithm for optimizing over the efficient set of a bicriteria linear programming problem Journal of Optimization Theory and Applications. 88: 77-105. DOI: 10.1007/Bf02192023  0.804
1996 Benson HP. Deterministic algorithms for constrained concave minimization: A unified critical survey Naval Research Logistics. 43: 765-795. DOI: 10.1002/(Sici)1520-6750(199609)43:6<765::Aid-Nav1>3.0.Co;2-2  0.736
1995 Benson HP. A geometrical analysis of the efficient outcome set in multiple objective convex programs with linear criterion functions Journal of Global Optimization. 6: 231-251. DOI: 10.1007/Bf01099463  0.704
1994 Benson HP, Sayin S. Optimization over the efficient set: Four special cases Journal of Optimization Theory and Applications. 80: 3-18. DOI: 10.1007/Bf02196590  0.768
1994 Benson HP, Sayin S. A finite concave minimization algorithm using branch and bound and neighbor generation Journal of Global Optimization. 5: 1-14. DOI: 10.1007/Bf01096999  0.775
1993 Benson HP. A bisection-extreme point search algorithm for optimizing over the efficient set in the linear dependence case Journal of Global Optimization. 3: 95-111. DOI: 10.1007/Bf01100242  0.81
1993 Benson HP, Sayin S. A face search heuristic algorithm for optimizing over the efficient set Naval Research Logistics. 40: 103-116. DOI: 10.1002/1520-6750(199302)40:1<103::Aid-Nav3220400107>3.0.Co;2-A  0.736
1992 Benson HP. A finite, nonadjacent extreme-point search algorithm for optimization over the efficient set Journal of Optimization Theory and Applications. 73: 47-64. DOI: 10.1007/Bf00940077  0.827
1991 Knechel WR, Benson HP. An Optimization Approach for Scheduling Internal Audits of Divisions Decision Sciences. 22: 391-405. DOI: 10.1111/J.1540-5915.1991.Tb00354.X  0.672
1991 Erenguc SS, Benson HP. An algorithm for indefinite integer quadratic programming Computers and Mathematics With Applications. 21: 99-106. DOI: 10.1016/0898-1221(91)90164-Y  0.808
1991 Benson HP, Horst R. A branch and bound-outer approximation algorithm for concave minimization over a convex set Computers and Mathematics With Applications. 21: 67-76. DOI: 10.1016/0898-1221(91)90161-V  0.777
1991 Benson HP, Aksoy Y. Using efficient feasible directions in interactive multiple objective linear programming Operations Research Letters. 10: 203-209. DOI: 10.1016/0167-6377(91)90060-3  0.754
1991 Benson HP. Complete efficiency and the initialization of algorithms for multiple objective programming Operations Research Letters. 10: 481-487. DOI: 10.1016/0167-6377(91)90026-L  0.764
1991 Horst R, Thoai NV, Benson HP. Concave minimization via conical partitions and polyhedral outer approximation Mathematical Programming. 50: 259-274. DOI: 10.1007/Bf01594938  0.802
1991 Benson HP. An all-linear programming relaxation algorithm for optimizing over the efficient set Journal of Global Optimization. 1: 83-104. DOI: 10.1007/Bf00120667  0.827
1990 Benson HP. Separable concave minimization via partial outer approximation and branch and bound Operations Research Letters. 9: 389-394. DOI: 10.1016/0167-6377(90)90059-E  0.792
1990 Benson HP, Selcuk Erenguc S, Horst R. A note on adapting methods for continuous global optimization to the discrete case Annals of Operations Research. 25: 243-252. DOI: 10.1007/Bf02283698  0.759
1990 Benson HP, Erenguc SS. An algorithm for concave integer minimization over a polyhedron Naval Research Logistics. 37: 515-525. DOI: 10.1002/1520-6750(199008)37:4<515::Aid-Nav3220370406>3.0.Co;2-X  0.73
1989 Benson HP. On the structure and properties of a linear multilevel programming problem Journal of Optimization Theory and Applications. 60: 353-373. DOI: 10.1007/Bf00940342  0.792
1988 Benson HP, Erenguc SS. Using convex envelopes to solve the interactive fixed-charge linear programming problem Journal of Optimization Theory and Applications. 59: 223-246. DOI: 10.1007/Bf00938310  0.782
1987 Benson HP, Morin TL. A bicriteria mathematical programming model for nutrition planning in developing nations Management Science. 33: 1593-1601. DOI: 10.1287/Mnsc.33.12.1593  0.791
1986 Erenguc SS, Benson HP. Technical Note-On the Weighted Selection Algorithm for Certain Linear Programs with Nested Constraint Coefficients Operations Research. 34: 650-653. DOI: 10.1287/Opre.34.4.650  0.736
1986 Benson HP. An algorithm for optimizing over the weakly-efficient set European Journal of Operational Research. 25: 192-199. DOI: 10.1016/0377-2217(86)90085-8  0.817
1986 Erenguc SS, Benson HP. The interactive fixed charge linear programming problem Naval Research Logistics Quarterly. 33: 157-177. DOI: 10.1002/Nav.3800330202  0.765
1985 Benson HP. Multiple Objective Linear Programming with Parametric Criteria Coefficients Management Science. 31: 461-474. DOI: 10.1287/Mnsc.31.4.461  0.798
1985 Benson HP. Note-Finding Certain Weakly-Efficient Vertices in Multiple Objective Linear Fractional Programming Management Science. 31: 240-248. DOI: 10.1287/Mnsc.31.2.240  0.755
1985 Benson HP. On the optimal value function for certain linear programs with unbounded optimal solution sets Journal of Optimization Theory and Applications. 46: 55-66. DOI: 10.1007/Bf00938759  0.747
1985 Benson HP. A finite algorithm for concave minimization over a polyhedron Naval Research Logistics Quarterly. 32: 165-177. DOI: 10.1002/Nav.3800320119  0.798
1984 Benson HP. Optimization over the efficient set Journal of Mathematical Analysis and Applications. 98: 562-580. DOI: 10.1016/0022-247X(84)90269-5  0.753
1983 Benson HP. Efficiency and proper efficiency in vector maximization with respect to cones Journal of Mathematical Analysis and Applications. 93: 273-289. DOI: 10.1016/0022-247X(83)90230-5  0.721
1983 Benson HP. On a domination property for vector maximization with respect to cones Journal of Optimization Theory and Applications. 39: 125-132. DOI: 10.1007/Bf00934467  0.659
1982 Cermak W, Lieberman J, Benson HP. An Integrated Approach to the Analysis of Binary Choice Data Applied Psychological Measurement. 6: 31-40. DOI: 10.1177/014662168200600103  0.622
1982 Benson HP. Admissible points of a convex polyhedron Journal of Optimization Theory and Applications. 38: 341-361. DOI: 10.1007/Bf00935343  0.773
1982 Benson HP. Algorithms for parametric nonconvex programming Journal of Optimization Theory and Applications. 38: 319-340. DOI: 10.1007/Bf00935342  0.798
1982 Benson HP. On the convergence of two branch-and-bound algorithms for nonconvex programming problems Journal of Optimization Theory and Applications. 36: 129-134. DOI: 10.1007/Bf00934342  0.763
1981 Benson HP. Finding an initial efficient extreme point for a linear multiple objective program Journal of the Operational Research Society. 32: 495-498. DOI: 10.1057/Jors.1981.100  0.69
1979 Benson HP. An improved definition of proper efficiency for vector maximization with respect to cones Journal of Mathematical Analysis and Applications. 71: 232-241. DOI: 10.1016/0022-247X(79)90226-9  0.64
1979 Benson HP. Vector maximization with two objective functions Journal of Optimization Theory and Applications. 28: 253-257. DOI: 10.1007/Bf00933245  0.754
1978 Benson HP. Existence of efficient solutions for vector maximization problems Journal of Optimization Theory and Applications. 26: 569-580. DOI: 10.1007/Bf00933152  0.752
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