IDEAS home Printed from https://ideas.repec.org/p/ant/wpaper/2000014.html
   My bibliography  Save this paper

A sequential insertion heuristic for the vehicle routing problem with time windows with relatively few customers per route

Author

Listed:
  • DULLAERT, Wout

Abstract

In this paper we study the performance of Solomon’s (1987) sequential insertion heuristic |1, for Vehicle Routing Problems with Time Windows (VRPTWs) in which the number of customers per rout is small with respect to the customers’ time windows and the scheduling horizon. Solomon’s (1987) time insertion c12 (i, u, j) underestimates the additional time needed of inserting a new customer u between the depot, i= i0 and the first customer j in the partially constructed rout (i0= I, i1=j,i1,…,im). This can cause the insertion criterion to select suboptimal insertion places for unrouted customers and the error in the corresponding insertion cost can cause the selection criterion to choose the wrong customer for intersection. Since the advance of the depot departure time is taken into account too cheaply, can have a larger schedule time than necessary. If, on the other hand, the number of custmoers per route is high, there is a high probability that the waiting time at the custmers, that were at position 1 during the construction of the route, can be used to insert other customers. An easy way to solve this problem and hence improve the quality of the heuristic for short-routed VRPTWs is suggested.

Suggested Citation

  • DULLAERT, Wout, 2000. "A sequential insertion heuristic for the vehicle routing problem with time windows with relatively few customers per route," Working Papers 2000014, University of Antwerp, Faculty of Applied Economics.
  • Handle: RePEc:ant:wpaper:2000014
    as

    Download full text from publisher

    File URL: https://repository.uantwerpen.be/docman/irua/b34da5/e5e5230b.pdf
    Download Restriction: no

    More about this item

    Statistics

    Access and download statistics

    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:ant:wpaper:2000014. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Joeri Nys). General contact details of provider: http://edirc.repec.org/data/ftufsbe.html .

    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 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.

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

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.