Některé z dílčích výsledků práce skupiny matematiků v Ústavu automatizace a informatiky

Some of the Results of the Mathematical Group in the Institute of Automation and Computer Science

conference paper

en

Research interest within the Mathematics group in the Institute of Automation and Computer Science of the Brno UT, Faculty of Mechanical Engineering is focused on the creation and application of mathematical methods of operational research for project management and production control. Some results achieved by members of the mathematics group and its PhD students are published in Handbook of Optimization, Springer-Verlag, Berlin-Heidelberg, 2013. A heuristic method for the multicriteria selection of the group of project is being developed in the institute. This method enables the objectification of weights of the partial non-linear criteria functions, involves synergistic effects of second- and third- orders in benefit and cost criterion function, and in resource requirements respecting resource sharing and hierarchical contingency relationships among candidate projects, and dialogue of the solution. In the project scheduling, the two-criteria time-cost minimization problem, solved by fuzzy linear programming, is a basis of the program system created here, as well as a technique for deriving a time-periodical production schedule for a group of products in a group of workplaces having limited capacity, performing cost optimization by lot size alteration. The manager could also observe, monitor or visualise effectively the differences between the scheduled and the actual courses of projects through the SSD Graph.

V Ústavu automatisace a informatiky strojního inženýrství Vysokého učení technického v Brně pracuje skupina matematiků a PhD.- studentů, zaměřená na tvorbu a aplikaci matematických metod pro řešení problémů operačního výzkumu v project managementu a v řízení výrobních procesů. Některé z dílčích výsledků její práce jsou publikovány např. v Handbook of Optimization, Springer Verlag, Berlin-Heidelberg 2013.

Research interest within the Mathematics group in the Institute of Automation and Computer Science of the Brno UT, Faculty of Mechanical Engineering is focused on the creation and application of mathematical methods of operational research for project management and production control. Some results achieved by members of the mathematics group and its PhD students are published in Handbook of Optimization, Springer-Verlag, Berlin-Heidelberg, 2013. A heuristic method for the multicriteria selection of the group of project is being developed in the institute. This method enables the objectification of weights of the partial non-linear criteria functions, involves synergistic effects of second- and third- orders in benefit and cost criterion function, and in resource requirements respecting resource sharing and hierarchical contingency relationships among candidate projects, and dialogue of the solution. In the project scheduling, the two-criteria time-cost minimization problem, solved by fuzzy linear programming, is a basis of the program system created here, as well as a technique for deriving a time-periodical production schedule for a group of products in a group of workplaces having limited capacity, performing cost optimization by lot size alteration. The manager could also observe, monitor or visualise effectively the differences between the scheduled and the actual courses of projects through the SSD Graph.

project selection, scheduling, visualising, decision support, multi-criterial optimisation, periodic production, lot sizes.

2013

01.09.2013

College of Polytechnics Jihlava

Jihlava

978-80-87035-76-4

Proceedings of the 31st International Conference Mathematical Methods in Economics 2013

379–385

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