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A polynomially solvable case of the pooling problem

Natashia Boland(natashia.boland***at***isye.gatech.edu)
Thomas Kalinowski(thomas.kalinowski***at***newcastle.edu.au)
Fabian Rigterink(fabian.rigterink***at***uon.edu.au)

Abstract: Answering a question of Haugland, we show that the pooling problem with one pool and a bounded number of inputs can be solved in polynomial time by solving a polynomial number of linear programs of polynomial size. We also give an overview of known complexity results and remaining open problems to further characterize the border between (strongly) NP-hard and polynomially solvable cases of the pooling problem.

Keywords: pooling problem; computational complexity

Category 1: Nonlinear Optimization (Constrained Nonlinear Optimization )

Citation:

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Entry Submitted: 08/13/2015
Entry Accepted: 08/13/2015
Entry Last Modified: 08/13/2015

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