Computer Science – Data Structures and Algorithms
Scientific paper
2006-03-07
Computer Science
Data Structures and Algorithms
19 pages, 10 figures, 1 table. Submitted to WAFR 2006
Scientific paper
We introduce the snowblower problem (SBP), a new optimization problem that is closely related to milling problems and to some material-handling problems. The objective in the SBP is to compute a short tour for the snowblower to follow to remove all the snow from a domain (driveway, sidewalk, etc.). When a snowblower passes over each region along the tour, it displaces snow into a nearby region. The constraint is that if the snow is piled too high, then the snowblower cannot clear the pile. We give an algorithmic study of the SBP. We show that in general, the problem is NP-complete, and we present polynomial-time approximation algorithms for removing snow under various assumptions about the operation of the snowblower. Most commercially-available snowblowers allow the user to control the direction in which the snow is thrown. We differentiate between the cases in which the snow can be thrown in any direction, in any direction except backwards, and only to the right. For all cases, we give constant-factor approximation algorithms; the constants increase as the throw direction becomes more restricted. Our results are also applicable to robotic vacuuming (or lawnmowing) with bounded capacity dust bin and to some versions of material-handling problems, in which the goal is to rearrange cartons on the floor of a warehouse.
Arkin Esther M.
Bender Michael A.
Mitchell Joseph S. B.
Polishchuk Valentin
No associations
LandOfFree
The Snowblower Problem does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with The Snowblower Problem, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Snowblower Problem will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-446868