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On Finding Stable and Efficient Solutions for the Team Formation Problem

Hoda Atef Yekta(hoda.atef yekta***at***uconn.edu)
David Bergman(david.bergman***at***uconn.edu)
Robert Day(robert.day***at***uconn.edu)

Abstract: The assignment of personnel to teams is a fundamental and ubiquitous managerial function, typically involving several objectives and a variety of idiosyncratic practical constraints. Despite the prevalence of this task in practice, the process is seldom approached as a precise optimization problem over the reported preferences of all agents. This is due in part to the underlying computational complexity that occurs when quadratic (i.e., intra-team interpersonal) interactions are taken into consideration, and also due to game-theoretic considerations, when those taking part in the process are self-interested agents. Variants of this fundamental decision problem arise in a number of settings, including, for example, human resources and project management, military platooning, sports-league management, ride sharing, data clustering, and in assigning students to group projects. In this paper, we study a mathematical-programming approach to "team formation" focused on the interplay between two of the most common objectives considered in the related literature: economic efficiency (i.e., the maximization of social welfare) and game-theoretic stability (e.g., finding a core solution when one exists). With a weighted objective across these two goals, the problem is modeled as a bi-level binary optimization problem, and transformed into a single-level, exponentially sized binary integer program. We then devise a branch-cut-and-price algorithms and demonstrate its efficacy through an extensive set of simulations, with favorable comparisons to other algorithms from the literature.

Keywords: Decision Analysis: Multiple Criteria; Organizational studies : Manpower planning; Utility-preference : Applications; Utility-Preference; Choice functions; Games-Group Decisions

Category 1: Applications -- OR and Management Sciences

Citation: 2100 Hillside Rd, Storrs, CT 06268, Operations and Information Management, University of Connecticut

Download: [PDF]

Entry Submitted: 04/01/2018
Entry Accepted: 04/01/2018
Entry Last Modified: 04/01/2018

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