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Performance model of cyclic processes

100%

Jamroż L. , Raszka J.

2010

tom R. 107, z. 1-NP

129-137

This paper presents the use of both Petri nets and max-plus algebra formalism for modeling dynamic behaviour of system with cyclic processes. A cyclic processes system contains elements, which can operate in parallel while at the same time. They can have cooperative and competitive relationships. The research is focused on a design and control at the lowest operational level of the system. The considered processes are sequential and cyclic. As the performance evaluation measure the cycle time of the system is chosen.

W artykule przedstawiono zastosowanie formalizmów sieci Petriego i max-plus algebry w modelowaniu systemu procesów cyklicznych. Procesy przebiegają równolegle, współpracują ze sobą lub współzawodniczą w dostępie do wspólnych zasobów. Rozważania przeprowadzono na poziomie sterowania operacyjnego. Oceny wydajności dokonano ze względu na czas cyklu pracy systemu.

Max-plus algebra as a tool to modelling and performance analysis of manufacturing systems

94%

Stańczyk J.

2018

tom Vol. 28, No. 3

77--97

This contribution discusses the usefulness of (max, +) algebra as a mathematical framework for a class of manufacturing systems. This class can be described as dynamic and asynchronous, where the state transitions are initiated by events that occur at di screte instants of time. An event corresponds to the start or the end of an activity. Such systems are known as discrete event systems (DES). An overview of the concepts of modelling and analysis using the (max, +) algebra approach to DES has been given. Also, examples of manufacturing systems have been provided to illustrate the potential of this approach. The type of production process used, such as serial line, assembly line, etc., influences the modelling of different basic manufacturing systems. We have also presented the impact of the capacity of interoperable buffers. Based on an analytical model, effectiveness and performance indexes have been evaluated.

Towards robust predictive fault-tolerant control for a battery assembly system

59%

Seybold L. , Witczak M. , Majdzik P. , Stetter R.

tom Vol. 25, no. 4

849--862

The paper deals with the modeling and fault-tolerant control of a real battery assembly system which is under implementation at the RAFI GmbH company (one of the leading electronic manufacturing service providers in Germany). To model and control the battery assembly system, a unified max-plus algebra and model predictive control framework is introduced. Subsequently, the control strategy is enhanced with fault-tolerance features that increase the overall performance of the production system being considered. In particular, it enables tolerating (up to some degree) mobile robot, processing and transportation faults. The paper discusses also robustness issues, which are inevitable in real production systems. As a result, a novel robust predictive fault-tolerant strategy is developed that is applied to the battery assembly system. The last part of the paper shows illustrative examples, which clearly exhibit the performance of the proposed approach.