A branch-and-price algorithm for the generalized assignment problem

A branch-and-price algorithm for the generalized assignment problem

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Article ID: iaor20003722
Country: United States
Volume: 45
Issue: 6
Start Page Number: 831
End Page Number: 841
Publication Date: Nov 1997
Journal: Operations Research
Authors:
Abstract:

The generalized assignment problem examines the maximum profit assignment of jobs to agents such that each job is assigned to precisely one agent subject to capacity restrictions on the agents. A new algorithm for the generalized assignment problem is presented that employs both column generation and branch-and-bound to obtain optimal integer solutions to a set partitioning formulation of the problem.

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