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- Title
PRIORITY RANKING AND CONSENSUS FORMATION: THE CASE OF TIES.
- Authors
Armstrong, Ronald D.; Cook, Wade D.; Seiford, Lawrence M.
- Abstract
This paper investigates the problem of obtaining a compromise/consensus from a set of ordinal rankings of n objects supplied by m committee members. Earlier work by Cook and Seiford [8] dealt with the problem of consensus when attention was restricted to complete rankings only. That is, no ties were permitted. This paper examines the general problem which allows for tied preferences. A convex polyhedral representation is given of the feasible solution space, and a branch-and-bound procedure is developed for determining an optimal ranking. Computational results for various problem sizes are presented. Generalizations, and directions for further research are discussed.
- Subjects
CONSENSUS (Social sciences); LEGAL settlement; RANKING (Statistics); MATHEMATICAL statistics; DECISION making; POLYHEDRAL functions; MANAGEMENT science; MATHEMATICAL models; COMMERCIAL arbitration agreements; COMPROMISE formation; CONSUMER preferences research
- Publication
Management Science, 1982, Vol 28, Issue 6, p638
- ISSN
0025-1909
- Publication type
Article
- DOI
10.1287/mnsc.28.6.638