Modelling the pooling problem at the New Zealand Refining Company

Amos, Folorunso; Rönnqvist, Mikael; Gill, Gerald C.

doi:10.1057/palgrave.jors.2600436

Cited by 25 publications

(13 citation statements)

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“…The pooling problem arises in a variety of industries including oil refining (Ben-Tal et al, 1994;Amos et al, 1997), mining industry (Boland et al, 2015), and wastewater network problems (Meyer and Floudas, 2006;Jezowski, 2010). Blending stream qualities results in nonlinear terms in the pooling problem formulation, yielding a nonconvex nonlinear program (NLP) (Audet et al, 2004;Alfaki, 2012).…”

Section: A C C E P T E D Mmentioning

confidence: 99%

Global optimisation of multi-plant manganese alloy production

Digernes

Rudi

Andersson

et al. 2018

Computers & Chemical Engineering

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This paper studies the problem of multi-plant manganese alloy production. The problem consists of finding the optimal furnace feed of ores, fluxes, coke, and slag that yields output products which meet customer specifications, and to optimally decide the volume, composition, and allocation of the slag. To solve the problem, a nonlinear pooling problem formulation is presented upon which the bilinear terms are reformulated using the Multiparametric Disaggregation Technique (MDT). This enables global optimisation by means of commercial software for mixed integer linear programs. We demonstrate the model and solution approach through case studies from a Norwegian manganese alloy producer. The computational study shows that the model and proposed optimisation approach can solve problem sizes of up to ten furnaces to a small optimality gap, that global optimization approach with MDT scales well with larger, real problem instances, and that the model outperforms the current operational practice.

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Section: A C C E P T E D Mmentioning

confidence: 99%

Global optimisation of multi-plant manganese alloy production

Digernes

Rudi

Andersson

et al. 2018

Computers & Chemical Engineering

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“…Among them are Lasdon et al (1979), Floudas and Aggarwal (1990), Foulds et al (1992) and Fieldhouse (1993). A practical application of the P-formulation has been shown by Baker and Lasdon (1985) and Amos et al (1997), who use this formulation at Exxon refineries and New Zealand Refining company, respectively.…”

Section: Formulations For the Standard Pooling Problem 221 The Qualmentioning

confidence: 99%

A multi-commodity flow formulation for the generalized pooling problem

Alfaki

Haugland

2012

J Glob Optim

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, where I have also been associated with the ICT Research school. This thesis is part of the RAMONA project, which concerns the regularity and uncertainty analysis and management for the Norwegian gas processing and transportation system. This project is financed by the Norwegian Research Council (80%), StatoilHydro (10%), and Gassco (10%). It is a joint project between three Norwegian universities

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“…These linear formulations are used in industry and described in the published literature for cases such as blending of petrochemicals [19,20], agricultural products [21], and recycling [11,22]. Where relevant, these models have also included effective treatments of the thermodynamics of the system [23,24]. Another extension of these models was to move beyond the deterministic treatment of raw material quality.…”

Section: Introductionmentioning

confidence: 99%

Operational Strategies for Increasing Secondary Materials in Metals Production Under Uncertainty

Noshadravan

Gaustad

Kirchain

et al. 2016

J. Sustain. Metall.

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Increased use of secondary raw materials in metals production offers several benefits including reduced cost and lowered energy burden. The lower cost of secondary or scrap materials is accompanied by an increased uncertainty in elemental composition. This increased uncertainty for different scraps, if not managed well, results in increased risk that the elemental concentrations in the final products fall outside customer specifications. Previous results show that incorporating this uncertainty explicitly into batch planning can modify the potential use of scrap materials while managing risk. Chance constrained formulations provide one approach to uncertainty-aware batch planning; however typical formulations assume normal distributions to represent the compositional uncertainty of the materials. Compositional variation in scrap materials has been shown to have a skewed distribution and, therefore, the performance of these models, in terms of their ability to provide effective planning, may then be heavily influenced by the structure of the compositional data used. To address this issue, this work developed several approximations for skewed distributional forms within chance constrained formulations. We explored a lognormal approximation based on Fenton's method; a convex approximation based on Bernstein inequalities; and a linear approximation using fuzzy set theory. Each of these methods was formulated 2 and case studies executed using compositional data from an aluminum remelter. Results indicate that the relationship between the underlying structure/distribution of the compositional data and how these distributions are formulated in batch planning can modify the use of secondary raw materials.

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Modelling the pooling problem at the New Zealand Refining Company

Cited by 25 publications

References 0 publications

Global optimisation of multi-plant manganese alloy production

Global optimisation of multi-plant manganese alloy production

A multi-commodity flow formulation for the generalized pooling problem

Operational Strategies for Increasing Secondary Materials in Metals Production Under Uncertainty

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