Exact and Compact Formulation of the Fixed-Destination Travelling Salesman Problem by Cycle Imposement Through Node Currents

Mernout Burger ()
Additional contact information
Mernout Burger: Delft University of Technology

A chapter in Operations Research Proceedings 2013, 2014, pp 83-88 from Springer

Abstract: Abstract The Travelling Salesman Problem (TSP) has been studied extensively for over half a century, but due to its property of being at the basis of many scheduling and routing problems it still attracts the attention of many research. One variation of the standard TSP is the multi-depot travelling salesman problem (MTSP) where the salesmen can start from and return to several distinct locations. This article focusses on the MTSP with the extra restriction that each salesman should return to his home depot, known as the fixed-destination MTSP. This problem (and its variations such as the multi-depot vehicle routing problem) is usually formulated using three-index binary variables, making the problem computationally expensive to solve. Here an alternative formulation is presented using two-index binary variables through the introduction of a limited amount of continuous variables to ensure the return of the salesmen to their home depots.

Keywords: Current Node; Home Depot; Multi-depot Vehicle Routing Problem; Standard MILP Solvers; Subtour Elimination Constraints (search for similar items in EconPapers)
Date: 2014
References: Add references at CitEc
Citations: View citations in EconPapers (1)

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:oprchp:978-3-319-07001-8_12

Ordering information: This item can be ordered from
http://www.springer.com/9783319070018

DOI: 10.1007/978-3-319-07001-8_12

Access Statistics for this chapter

More chapters in Operations Research Proceedings from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().