Stochastic travelling salesperson and shortest route models with safety time Online publication date: Wed, 14-Jan-2015
by Lilit Mazmanyan; Dan Trietsch
International Journal of Planning and Scheduling (IJPS), Vol. 2, No. 1, 2014
Abstract: We address the stochastic traveling salesperson problem (TSP) with distances measured by travel time. As a by-product, we obtain comparable results for the shortest route problem. We study how to select the best path and due date to minimise fundamental safe scheduling objectives. Model 1 requires minimising the due date subject to a service level constraint. Model 2 addresses a weighted trade-off between the due date and the expected tardiness. In alternate formulations, the due date is given and we maximise the service level for Model 1, or minimise the expected tardiness for Model 2. We show that Alternate 1 is equivalent to Model 1, but Alternate 2 is different to Model 2. For normal and lognormal travel times, we proceed by solving few deterministic TSP derived instances. This approach provides optimal solutions for some models. For all other models, it becomes an effective heuristic with tight performance guarantee certificates.
Existing subscribers:
Go to Inderscience Online Journals to access the Full Text of this article.
If you are not a subscriber and you just want to read the full contents of this article, buy online access here.Complimentary Subscribers, Editors or Members of the Editorial Board of the International Journal of Planning and Scheduling (IJPS):
Login with your Inderscience username and password:
Want to subscribe?
A subscription gives you complete access to all articles in the current issue, as well as to all articles in the previous three years (where applicable). See our Orders page to subscribe.
If you still need assistance, please email subs@inderscience.com
Our Blog 
Follow us on Twitter 
Visit us on Facebook