Cookies?
Library Header Image
LSE Research Online LSE Library Services

Organizing a social event: a difficult problem of combinatorial optimization

Brailsford, S. C., Hubbard, P. M., Smith, B. M. and Williams, H. Paul (1996) Organizing a social event: a difficult problem of combinatorial optimization. Computers and Operations Research, 23 (9). pp. 845-856. ISSN 0305-0548

Full text not available from this repository.

Abstract

This interesting problem arose in the context of organizing a “progressive party” at a yachting rally. Some yachts were to be designated hosts; the crews of the remaining yachts would then visit the hosts for six successive half-hour periods. A guest crew could not revisit the same host, and two guest crews could not meet more than once during the evening. Additional constraints were imposed by the capacities of the host yachts and the crew sizes of the guests. Although this problem has many of the classical features of combinatorial optimization problems, it does not belong to any previously known class of problem. Integer programming formulations which included all the constraints resulted in very large models and all attempts to find a solution failed. However by solving a simple relaxation of the problem using linear programming we obtained a lower bound for the solution, which combined with a feasible solution obtained (spectacularly easily) by constraint programming led to an optimal solution. We describe our computational experience and discuss the features of this problem which account for the failure and success of the two approaches.

Item Type: Article
Official URL: http://www.elsevier.com/locate/cor
Additional Information: © 1996 Elsevier Science Ltd
Library of Congress subject classification: Q Science > QA Mathematics
Sets: Research centres and groups > Management Science Group
Departments > Management
Rights: http://www.lse.ac.uk/library/usingTheLibrary/academicSupport/OA/depositYourResearch.aspx
Date Deposited: 24 Jan 2011 10:50
URL: http://eprints.lse.ac.uk/31594/

Actions (login required)

Record administration - authorised staff only Record administration - authorised staff only