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Heterogeneous Multi-resource Allocation with Subset Demand Requests

Arden Baxter (), Pinar Keskinocak () and Mohit Singh ()
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Arden Baxter: H. Milton Stewart School of Industrial and Systems Engineering, Georgia Institute of Technology, Atlanta, Georgia 30332; Center for Health and Humanitarian Systems, Georgia Institute of Technology, Atlanta, Georgia 30332
Pinar Keskinocak: H. Milton Stewart School of Industrial and Systems Engineering, Georgia Institute of Technology, Atlanta, Georgia 30332; Center for Health and Humanitarian Systems, Georgia Institute of Technology, Atlanta, Georgia 30332
Mohit Singh: H. Milton Stewart School of Industrial and Systems Engineering, Georgia Institute of Technology, Atlanta, Georgia 30332

INFORMS Journal on Computing, 2022, vol. 34, issue 5, 2389-2399

Abstract: We consider the problem of allocating multiple heterogeneous resources geographically and over time to meet demands that require some subset of the available resource types simultaneously at a specified time, location, and duration. The objective is to maximize the total reward accrued from meeting (a subset of) demands. We model this problem as an integer program, show that it is NP-hard, and analyze the complexity of various special cases. We introduce approximation algorithms and an extension to our problem that considers travel costs. Finally, we test the performance of the integer programming model in an extensive computational study.

Keywords: deterministic integer programming; resource allocation; network flows; complexity analysis (search for similar items in EconPapers)
Date: 2022
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Citations: View citations in EconPapers (1)

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