# Approximation algorithms for regret-bounded vehicle routing and applications to distance-constrained vehicle routing

@article{Friggstad2014ApproximationAF, title={Approximation algorithms for regret-bounded vehicle routing and applications to distance-constrained vehicle routing}, author={Zachary Friggstad and C. Swamy}, journal={Proceedings of the forty-sixth annual ACM symposium on Theory of computing}, year={2014} }

We consider vehicle-routing problems (VRPs) that incorporate the notion of regret of a client, which is a measure of the waiting time of a client relative to its shortest-path distance from the depot. Formally, we consider both the additive and multiplicative versions of, what we call, the regret-bounded vehicle routing problem (RVRP). In these problems, we are given an undirected complete graph G = ({r} ∪ V,E) on n nodes with a distinguished root (depot) node r, edge costs {cuv} that form a… CONTINUE READING

#### Tables and Topics from this paper

#### Tables

21 Citations

Compact, Provably-Good LPs for Orienteering and Regret-Bounded Vehicle Routing

- Mathematics, Computer Science
- IPCO
- 2017

5- PDF

The Capacitated Orienteering Problem

- Computer Science, Mathematics
- Discret. Appl. Math.
- 2015

2 Highly Influenced

Approximation Algorithms for Capacitated k-Travelling Repairmen Problems

- Computer Science
- ISAAC
- 2016

- PDF

Distance Constrained Vehicle Routing Problem to Minimize the Total Cost

- Mathematics, Computer Science
- COCOON
- 2019

Improved Approximation Algorithms for Min-Max and Minimum Vehicle Routing Problems

- Mathematics, Computer Science
- COCOON
- 2015

6- PDF

Improving the Approximation Ratio for Capacitated Vehicle Routing

- Computer Science
- ArXiv
- 2020

Highly Influenced- PDF

#### References

SHOWING 1-10 OF 13 REFERENCES

Approximation algorithms for distance constrained vehicle routing problems

- Mathematics, Computer Science
- Networks
- 2012

71 Highly Influential- PDF

When Trees Collide: An Approximation Algorithm for the Generalized Steiner Problem on Networks

- Mathematics, Computer Science
- SIAM J. Comput.
- 1995

319 Highly Influential

A general approximation technique for constrained forest problems

- Computer Science, Mathematics
- SODA '92
- 1992

887 Highly Influential- PDF

Santa Claus schedules jobs on unrelated machines

- Mathematics, Computer Science
- STOC '11
- 2011

75 Highly Influential- PDF

Decision-Aiding Methodology for the School Bus Routing and Scheduling Problem

- Engineering, Computer Science
- Transp. Sci.
- 2005

87 Highly Influential- PDF

An efficient approximation scheme for the one-dimensional bin-packing problem

- Mathematics, Computer Science
- 23rd Annual Symposium on Foundations of Computer Science (sfcs 1982)
- 1982

481 Highly Influential

On maximizing welfare when utility functions are subadditive

- Mathematics, Computer Science
- STOC '06
- 2006

260 Highly Influential- PDF