IDEAS home Printed from https://ideas.repec.org/a/inm/oropre/v35y1987i5p772-783.html
   My bibliography  Save this article

The Product Matrix Traveling Salesman Problem: An Application and Solution Heuristic

Author

Listed:
  • Robert D. Plante

    (Purdue University, West Lafayette, Indiana)

  • Timothy J. Lowe

    (Purdue University, West Lafayette, Indiana)

  • R. Chandrasekaran

    (The University of Texas at Dallas, Richardson, Texas)

Abstract

In this paper we analyze an optimization problem that arises in the overhaul of a gas turbine engine. This problem involves the placement of nozzle guide vanes in the nozzle of the engine. The objective of the vane placement is to attain “uniform” flow (equalized distribution of hot fuel gases) about the circumference of the engine nozzle. We show that this placement problem is equivalent to a traveling salesman problem (TSP) whose cost matrix is a product matrix. Exploiting properties of the special form of the cost matrix, we give a heuristic algorithm for solving the problem, and derive a posteriori lower bounds for the heuristic. We show that the heuristic performs extremely well on both real and simulated data. Finally, we present and develop the theoretical results that are the foundation of the proposed heuristic.

Suggested Citation

  • Robert D. Plante & Timothy J. Lowe & R. Chandrasekaran, 1987. "The Product Matrix Traveling Salesman Problem: An Application and Solution Heuristic," Operations Research, INFORMS, vol. 35(5), pages 772-783, October.
    • Handle: RePEc:inm:oropre:v:35:y:1987:i:5:p:772-783
    DOI: 10.1287/opre.35.5.772
    as

    Download full text from publisher

    File URL: http://dx.doi.org/10.1287/opre.35.5.772
    Download Restriction: no
    File URL: https://libkey.io/10.1287/opre.35.5.772?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
    ---><---

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Robert D. Plante & Timothy J. Lowe & Richard T. Wong, 1988. "Partitioning and balancing for the assembly of nozzle guide vanes in gas turbine engines," Naval Research Logistics (NRL), John Wiley & Sons, vol. 35(4), pages 585-603, August.
    2. Johanns, Patrick & Lowe, Tim & Plante, Robert, 2001. "Selection and sequencing heuristics to reduce variance in gas turbine engine nozzle assemblies," European Journal of Operational Research, Elsevier, vol. 132(3), pages 490-504, August.
    3. Robert Plante & Herbert Moskowitz & Jen Tang & Jeff Duffy, 1999. "Improving Quality via Matching: A Case Study Integrating Supplier and Manufacturer Quality Performance," Manufacturing & Service Operations Management, INFORMS, vol. 1(1), pages 36-49.

    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:inm:oropre:v:35:y:1987:i:5:p:772-783. 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.

    We have no bibliographic references for this item. You can help adding them by using 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: Chris Asher (email available below). General contact details of provider: https://edirc.repec.org/data/inforea.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.