A polynomially solvable case of the pooling problem

Natashia Boland; Thomas Kalinowski; Fabian Rigterink

doi:10.1007/s10898-016-0432-6

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arXiv · 1508.03181

A polynomially solvable case of the pooling problem

Natashia Boland·Thomas Kalinowski·Fabian Rigterink

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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.

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BibTeX RIS

Natashia Boland, Thomas Kalinowski, Fabian Rigterink. 2016-04-05. A polynomially solvable case of the pooling problem. https://doi.org/10.1007/s10898-016-0432-6

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