IDEAS home Printed from https://ideas.repec.org/a/wut/journl/v3y2018p77-97id1336.html
   My bibliography  Save this article

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

Author

Listed:
  • Jarosław Stańczyk

Abstract

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.

Suggested Citation

  • Jarosław Stańczyk, 2018. "Max-plus algebra as a tool to modelling and performance analysis of manufacturing systems," Operations Research and Decisions, Wroclaw University of Science and Technology, Faculty of Management, vol. 28(3), pages 77-97.
    • Handle: RePEc:wut:journl:v:3:y:2018:p:77-97:id:1336
    DOI: 10.5277/ord180306
    as

    Download full text from publisher

    File URL: https://ord.pwr.edu.pl/assets/papers_archive/1336%20-%20published.pdf
    Download Restriction: no
    File URL: https://libkey.io/10.5277/ord180306?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    References listed on IDEAS

    as
    1. Andrew Targowski, 2012. "A Book Review Of Modrák, V. And Pandian, R.S. (Eds.) ”Operations Management Research And Cellular Manufacturing Systems: Innovative Methods And Approaches” Igi Global, Hershey, Pa And New York, Octobe," Polish Journal of Management Studies, Czestochowa Technical University, Department of Management, vol. 5(1), pages 334-337, June.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.

      Corrections

      All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:wut:journl:v:3:y:2018:p:77-97:id:1336. See general information about how to correct material in RePEc.

      If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

      If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

      If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

      For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Adam Kasperski (email available below). General contact details of provider: https://edirc.repec.org/data/iopwrpl.html .

      Please note that corrections may take a couple of weeks to filter through the various RePEc services.

      IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.