Solving Multi-objective MILP Problems in Process Synthesis using the Multi-Criteria Branch and Bound Algorithm
The paper briefly describes the problem of process synthesis in the area of chemical engineering, and suggests its formulation as a Multi‐Objective Programming problem. Process synthesis optimization is usually modeled as Mixed Integer Linear Programming (MILP) or Mixed Integer Non‐Linear Programmin...
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| Vydáno v: | Chemical engineering & technology Ročník 28; číslo 12; s. 1500 - 1510 |
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| Jazyk: | angličtina |
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Weinheim
WILEY-VCH Verlag
01.12.2005
WILEY‐VCH Verlag Wiley-VCH |
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| ISSN: | 0930-7516, 1521-4125 |
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| Abstract | The paper briefly describes the problem of process synthesis in the area of chemical engineering, and suggests its formulation as a Multi‐Objective Programming problem. Process synthesis optimization is usually modeled as Mixed Integer Linear Programming (MILP) or Mixed Integer Non‐Linear Programming (MINLP) with an economic objective function. We claim that incorporating more criteria (e.g., environmental criteria) in this kind of combinatorial optimization problem offers the decision makers the opportunity to refine their final decision by examining more than one solution (a set of efficient or Pareto optimal solutions instead of one optimal solution). For solving the multi‐objective process synthesis problem, an improved version of the Multi‐Criteria Branch and Bound (MCBB) algorithm, which has been developed by the same authors, is used. MCBB is a vector maximization algorithm capable of deriving all efficient points (supported and unsupported), for small and medium sized Multi‐Objective MILP problems. The application of MCBB in two examples from process synthesis is also presented.
The formulation of process synthesis in chemical engineering as a Multi‐Objective Programming is discussed. An improved version of the Multi‐Criteria Branch and Bound (MCBB) algorithm is used, which is a vector maximization algorithm capable of deriving all efficient points (supported and unsupported) for small and medium sized Multi‐Objective MILP problems. The application of MCBB in two examples from process synthesis is presented. |
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| AbstractList | The paper briefly describes the problem of process synthesis in the area of chemical engineering, and suggests its formulation as a Multi‐Objective Programming problem. Process synthesis optimization is usually modeled as Mixed Integer Linear Programming (MILP) or Mixed Integer Non‐Linear Programming (MINLP) with an economic objective function. We claim that incorporating more criteria (e.g., environmental criteria) in this kind of combinatorial optimization problem offers the decision makers the opportunity to refine their final decision by examining more than one solution (a set of efficient or Pareto optimal solutions instead of one optimal solution). For solving the multi‐objective process synthesis problem, an improved version of the Multi‐Criteria Branch and Bound (MCBB) algorithm, which has been developed by the same authors, is used. MCBB is a vector maximization algorithm capable of deriving all efficient points (supported and unsupported), for small and medium sized Multi‐Objective MILP problems. The application of MCBB in two examples from process synthesis is also presented.
The formulation of process synthesis in chemical engineering as a Multi‐Objective Programming is discussed. An improved version of the Multi‐Criteria Branch and Bound (MCBB) algorithm is used, which is a vector maximization algorithm capable of deriving all efficient points (supported and unsupported) for small and medium sized Multi‐Objective MILP problems. The application of MCBB in two examples from process synthesis is presented. |
| Author | Mavrotas, G. Diakoulaki, D. |
| Author_xml | – sequence: 1 givenname: G. surname: Mavrotas fullname: Mavrotas, G. email: mavrotas@chemeng.ntua.gr organization: Laboratory of Industrial and Energy Economics, School of Chemical Engineering, National Technical University of Athens, Zografou Campus, Athens 15780, Greece – sequence: 2 givenname: D. surname: Diakoulaki fullname: Diakoulaki, D. organization: Laboratory of Industrial and Energy Economics, School of Chemical Engineering, National Technical University of Athens, Zografou Campus, Athens 15780, Greece |
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| Keywords | Chemical engineering Branch and bound method Linear programming Mixed integer programming Non linear programming Objective function Combinatorial optimization Algorithm Modeling Mathematical programming |
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| SubjectTerms | Applications of mathematics to chemical engineering. Modeling. Simulation. Optimization Applied sciences Chemical engineering Exact sciences and technology Optimization Process engineering Process optimization |
| Title | Solving Multi-objective MILP Problems in Process Synthesis using the Multi-Criteria Branch and Bound Algorithm |
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