Evaluation of a Gradient Free and a Gradient Based Optimization Algorithm for Industrial Beverage Pasteurisation Described by Different Modeling Variants
(2016) In Master’s Theses in Mathematical Sciences NUMM11 20161Mathematics (Faculty of Engineering)
- Abstract
- Inspired by Krones Group in Holte/Copenhagen, the intention of this thesis is to simulate and optimize pasteurisation processes. Based on different modes of heat transfer, a mathematical model to describe the thermal processes in the product is developed. The main goal of the thesis is to optimize the thermal treatment of the product. Both the derivative-free COBYLA and the gradient-based MMA optimization algorithm are described and evaluated. The optimal results obtained with the NLopt library in Python
are compared and different modeling variants of the optimization problem are developed with regard to their meaningfulness and their numerical behaviour. - Popular Abstract
- Pasteurisation is a method used in the food production industry to extend the shelf life of products, mostly beverages. This is achieved by heating the product to a product-specific lethal temperature to inactivate
particular micro-organisms. A Pasteurisation Unit (PU) is defined as one minute of thermal treatment at 60C. Canned beverages are pasteurised by transporting them on a conveyor belt through a tunnel pasteur, where spray water in different temperatures gently heates, pasteurises and cooles the product.
Please use this url to cite or link to this publication:
http://lup.lub.lu.se/student-papers/record/8881844
- author
- Versbach, Lea Miko LU
- supervisor
- organization
- alternative title
- Utvärdering av en Derivata-Fri och en Gradient-Baserad Optimeringsalgoritm för Industriell Pastörisering av Drycker Beskrivna med Olika Modelleringsvarianter
- course
- NUMM11 20161
- year
- 2016
- type
- H2 - Master's Degree (Two Years)
- subject
- keywords
- numerical optimization, pasteurization, modeling, food engineering, derivate free
- publication/series
- Master’s Theses in Mathematical Sciences
- report number
- LUNFNA-3021-2016
- ISSN
- 1404-6342
- other publication id
- 2016:E11
- language
- English
- id
- 8881844
- date added to LUP
- 2016-08-23 11:18:05
- date last changed
- 2016-08-23 11:18:05
@misc{8881844, abstract = {{Inspired by Krones Group in Holte/Copenhagen, the intention of this thesis is to simulate and optimize pasteurisation processes. Based on different modes of heat transfer, a mathematical model to describe the thermal processes in the product is developed. The main goal of the thesis is to optimize the thermal treatment of the product. Both the derivative-free COBYLA and the gradient-based MMA optimization algorithm are described and evaluated. The optimal results obtained with the NLopt library in Python are compared and different modeling variants of the optimization problem are developed with regard to their meaningfulness and their numerical behaviour.}}, author = {{Versbach, Lea Miko}}, issn = {{1404-6342}}, language = {{eng}}, note = {{Student Paper}}, series = {{Master’s Theses in Mathematical Sciences}}, title = {{Evaluation of a Gradient Free and a Gradient Based Optimization Algorithm for Industrial Beverage Pasteurisation Described by Different Modeling Variants}}, year = {{2016}}, }