Simple Continuous-Time Formulation for Short-Term Scheduling of Batch and Continuous Processes

A new and simple general mathematical formulation for scheduling multipurpose plants involving batch and/or continuous processes, based on the resource−task network (RTN) representation, is presented. The formulation uses a uniform-time-grid continuous-time representation and results in a very effic...

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Bibliographic Details
Published in:Industrial & engineering chemistry research 2004-01, Vol.43 (1), p.105-118
Main Authors: Castro, Pedro M, Barbosa-Póvoa, Ana P, Matos, Henrique A, Novais, Augusto Q
Format: Article
Language:English
Subjects:
Applications of mathematics to chemical engineering. Modeling. Simulation. Optimization
Applied sciences
Chemical engineering
Economics. Management. Design assessment
Exact sciences and technology
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Summary:A new and simple general mathematical formulation for scheduling multipurpose plants involving batch and/or continuous processes, based on the resource−task network (RTN) representation, is presented. The formulation uses a uniform-time-grid continuous-time representation and results in a very efficient mixed integer linear programming model that can be solved to optimality for a given number of event points. The performance of the formulation is illustrated through the solution of two case studies that have been thoroughly examined in the literature:  the first involves a continuous plant and is solved for three different storage policies, and the second concerns a batch plant. The formulation is shown to compare favorably to existing continuous-time formulations. More specifically, a new optimal solution is obtained for the finite intermediate storage scenario of the first case that is also a global optimal solution.
ISSN:0888-5885
1520-5045
DOI:10.1021/ie0302995