A mixed-integer nonlinear programming formulation for the synthesis of heat-integrated distillation sequences

Floudas, Christodoulos A.; Paules, Granville

doi:10.1016/0098-1354(88)87003-0

Cited by 117 publications

(48 citation statements)

References 15 publications

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“…Note that algorithms addressing QCQPs are generically important because QCQPs commonly arise in process synthesis applications that include heat integration networks, separation systems, reactor networks, reactor-separator-recycle systems, and batch processes , Floudas and Anastasiadis, 1988, Floudas and Grossmann, 1987, Floudas and Paules, 1988, Kokossis and Floudas, 1991, Lin and Floudas, 2001. Algorithms addressing quadratically-constrained quadratic GDPs are of particular relevance to the generalized pooling problem [Lee and Grossmann, 2001, 2003, Ruiz and Grossmann, 2010.…”

Section: Literature Reviewmentioning

confidence: 99%

APOGEE: Global optimization of standard, generalized, and extended pooling problems via linear and logarithmic partitioning schemes

Misener

Thompson

Floudas

2011

Computers & Chemical Engineering

114

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Section: Literature Reviewmentioning

confidence: 99%

APOGEE: Global optimization of standard, generalized, and extended pooling problems via linear and logarithmic partitioning schemes

Misener

Thompson

Floudas

2011

Computers & Chemical Engineering

114

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“…, M} Major applications of MIQCQP include quality blending in process networks, separating objects in computational geometry, and portfolio optimization in finance. Specific instantiations of MIQCQP in process networks optimization problems include: pooling problems [5,12,20,28,53,65,66,67,79,93,97,98,100,101,107,137,139], distillation sequences [8,54,58], wastewater treatment and total water systems [9,13,22,29,50,62,71,73,108,109], hybrid energy systems [23,24,49], heat exchanger networks [39,56], reactorseparator-recycle systems [75,76], separation systems [119], data reconciliation [115], batch processes [86], crude oil scheduling [78,80,81,104,103], and natural gas production [82,…”

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confidence: 99%

GloMIQO: Global mixed-integer quadratic optimizer

2012

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This paper introduces the Global Mixed-Integer Quadratic Optimizer, GloMIQO, a numerical solver addressing mixed-integer quadratically-constrained quadratic programs (MIQCQP) to ε-global optimality. The algorithmic components are presented for: reformulating user input, detecting special structure including convexity and edge-concavity, generating tight convex relaxations, partitioning the search space, bounding the variables, and finding good feasible solutions. To demonstrate the capacity of GloMIQO, we extensively tested its performance on a test suite of 399 problems of diverse size and structure. The test cases are taken from process networks applications, computational geometry problems, GLOBALLib, MINLPLib, and the Bonmin test set. We compare the performance of GloMIQO with respect to four state-of-the-art global optimization solvers: BARON 10.1.2,

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“…Paules and Floudas [146,147] proposed and MINLP model for heat integrated distillation sequences, and Raman and Grossmann [92] a disjunctive representation.…”

Section: Process Synthesismentioning

confidence: 99%

Review of Mixed‐Integer Nonlinear and Generalized Disjunctive Programming Methods

Trespalacios

Grossmann

2014

Chemie Ingenieur Technik

152

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This work presents a review of the applications of mixed-integer nonlinear programming (MINLP) in process systems engineering (PSE). A review on the main deterministic MINLP solution methods is presented, including an overview of the main MINLP solvers. Generalized disjunctive programming (GDP) is an alternative higher-level representation of MINLP problems. This work reviews some methods for solving GDP models, and techniques for improving MINLP methods through GDP. The paper also provides a high-level review of the applications of MINLP in PSE, particularly in process synthesis, planning and scheduling, process control and molecular computing.

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A mixed-integer nonlinear programming formulation for the synthesis of heat-integrated distillation sequences

Cited by 117 publications

References 15 publications

APOGEE: Global optimization of standard, generalized, and extended pooling problems via linear and logarithmic partitioning schemes

APOGEE: Global optimization of standard, generalized, and extended pooling problems via linear and logarithmic partitioning schemes

GloMIQO: Global mixed-integer quadratic optimizer

Review of Mixed‐Integer Nonlinear and Generalized Disjunctive Programming Methods

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