A computational analysis of multidimensional piecewise-linear models with applications to oil production optimization

A Study of Two-Phase Flow in Inclined Pipes

D.H. Beggs, James P. Brill · Journal of Petroleum Technology · 1973 · 1.4K citations

Engineering, Pipe Inclination Angle, Liquid-liquid Flow +14

Mixed-Integer Models for Nonseparable Piecewise-Linear Optimization: Unifying Framework and Extensions

Juan Pablo Vielma, Shabbir Ahmed, George L. Nemhauser · Operations Research · 2009 · 352 citations

Mathematical Programming, Numerical Analysis, Continuous Piecewise-linear Functions +19

Modeling disjunctive constraints with a logarithmic number of binary variables and constraints

Juan Pablo Vielma, George L. Nemhauser · Mathematical Programming · 2009 · 266 citations

On the Significance of Solving Linear Programming Problems with Some Integer Variables

George B. Dantzig · Econometrica · 1960 · 217 citations

Mathematical Programming, Engineering, Computational Complexity +16

A Comparison of Mixed-Integer Programming Models for Nonconvex Piecewise Linear Cost Minimization Problems

Keely L. Croxton, Bernard Gendron, Thomas L. Magnanti · Management Science · 2003 · 201 citations

Mathematical Programming, Numerical Analysis, Engineering +15