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Branch-and-reduce algorithm for convex programs with additional multiplicative constraints

Benson, Harold P.; Sun, Erjiang - In: European Journal of Operational Research 199 (2009) 1, pp. 1-8

This article presents a branch-and-reduce algorithm for globally solving for the first time a convex minimization problem (P) with p[greater-or-equal, slanted]1 additional multiplicative constraints. In each of these p additional constraints, the product of two convex functions is constrained to...

Persistent link: https://www.econbiz.de/10004973515

A weight set decomposition algorithm for finding all efficient extreme points in the outcome set of a multiple objective linear program

Benson, Harold P.; Sun, Erjiang - In: European journal of operational research : EJOR 139 (2002) 1, pp. 26-41

Persistent link: https://www.econbiz.de/10006655810

Features - Software Review: LGO - User-friendly, versatile tool for global optimization suitable for classroom, research and applied decision-making

Benson, Harold P.; Sun, Erjiang - In: OR MS today : operations research - management science 27 (2000) 5, pp. 52-55

Persistent link: https://www.econbiz.de/10006727329

Dynamic lot-sizing with setup cost reduction

Denizel, Meltem; Erenguc, Selcuk; Benson, Harold P. - In: Operations research, Management science : OR MS ; the … 37 (1997) 6, pp. 635-638

Persistent link: https://www.econbiz.de/10006524932

Maximizing the ratio of two convex functions over a convex set

Benson, Harold P. - In: Naval research logistics : an international journal 53 (2006) 4, pp. 309-317

Persistent link: https://www.econbiz.de/10005917685

Concave envelopes of monomial functions over rectangles

Benson, Harold P. - In: Naval research logistics : an international journal 51 (2004) 4, pp. 467-476

Persistent link: https://www.econbiz.de/10005928412

An algorithm for optimizing over the weakly-efficient set

Benson, Harold P. - In: European Journal of Operational Research 25 (1986) 2, pp. 192-199

Persistent link: https://www.econbiz.de/10005337497

A simplicial branch and bound duality-bounds algorithm for the linear sum-of-ratios problem

Benson, Harold P. - In: European Journal of Operational Research 182 (2007) 2, pp. 597-611

Persistent link: https://www.econbiz.de/10005337896

Fractional programming with convex quadratic forms and functions

Benson, Harold P. - In: European Journal of Operational Research 173 (2006) 2, pp. 351-369

Persistent link: https://www.econbiz.de/10005158552

Matthias Ehrgott, Multicriteria Optimization (second ed.), Springer (2005) ISBN 3-540-21398-8 323 pages.

Benson, Harold P. - In: European Journal of Operational Research 176 (2007) 3, pp. 1961-1964

Persistent link: https://www.econbiz.de/10005287822