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The Pollyanna Problem: Assignment of Participants in a Gift Exchange

The Pollyanna Problem: Assignment of Participants in a Gift Exchange

Virginia M. Miori
Copyright: © 2014 |Volume: 5 |Issue: 1 |Pages: 12
ISSN: 1947-3591|EISSN: 1947-3605|EISBN13: 9781466652958|DOI: 10.4018/ijbir.2014010101
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MLA

Miori, Virginia M. "The Pollyanna Problem: Assignment of Participants in a Gift Exchange." IJBIR vol.5, no.1 2014: pp.1-12. http://doi.org/10.4018/ijbir.2014010101

APA

Miori, V. M. (2014). The Pollyanna Problem: Assignment of Participants in a Gift Exchange. International Journal of Business Intelligence Research (IJBIR), 5(1), 1-12. http://doi.org/10.4018/ijbir.2014010101

Chicago

Miori, Virginia M. "The Pollyanna Problem: Assignment of Participants in a Gift Exchange," International Journal of Business Intelligence Research (IJBIR) 5, no.1: 1-12. http://doi.org/10.4018/ijbir.2014010101

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Abstract

The assignment problem serves as the basis for a novel formulation and initial approach to assigning participants in holiday “Pollyanna” gift exchanges. This research presents the formalization of a typical heuristic assignment with constraints as commonly imposed by family and work dynamics. The constraints include restrictions on exchanging within the same nuclear family, restrictions on repeating that same exchanges as the previous year, balancing “good” gifts with “bad” gifts and restricting direct exchanges. A multidimensional assignment problem is formulated and reformulated employing Lagrangian Relaxation.

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