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Navy Personnel Planning and the Optimal Partition

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  • Allen Holder

    (Department of Mathematics, Trinity University, Marrs-McLean Science Building, San Antonio, Texas 78212-7200)

Abstract

One could argue that the Navy's most important resource is its personnel, and as such, workforce planning is a crucial task. We investigate a new model and solution technique that is designed to aid in optimizing the process of assigning sailors to jobs. This procedure attempts to achieve an increased level of sailor satisfaction by providing a list of possible jobs from which a sailor may choose. We show that the optimal partition provided by an interior-point algorithm is particularly useful when designing the job lists. This follows because a strictly complementary solution to the linear programming relaxation observes all possible optimal solutions to the original binary problem. The techniques developed rely on a continuous parametric analysis, and we show that the parameterization provides meaningful information about the structure of the optimal assignments.

Suggested Citation

  • Allen Holder, 2005. "Navy Personnel Planning and the Optimal Partition," Operations Research, INFORMS, vol. 53(1), pages 77-89, February.
    • Handle: RePEc:inm:oropre:v:53:y:2005:i:1:p:77-89
    DOI: 10.1287/opre.1040.0155
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    References listed on IDEAS

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    Cited by:

    1. Arpan Rijal & Marco Bijvank & Asvin Goel & René de Koster, 2021. "Workforce Scheduling with Order-Picking Assignments in Distribution Facilities," Transportation Science, INFORMS, vol. 55(3), pages 725-746, May.
    2. Cipriano Santos & Tere Gonzalez & Haitao Li & Kay-Yut Chen & Dirk Beyer & Sundaresh Biligi & Qi Feng & Ravindra Kumar & Shelen Jain & Ranga Ramanujam & Alex Zhang, 2013. "HP Enterprise Services Uses Optimization for Resource Planning," Interfaces, INFORMS, vol. 43(2), pages 152-169, April.
    3. A. Volgenant, 2008. "Technical Note---A Note on Parametric Analysis in Linear Assignment," Operations Research, INFORMS, vol. 56(2), pages 519-522, April.
    4. Karamalak, Levent & Sabuncuoglu, Ihsan & Ozkil, Altan, 2014. "A mathematical model proposal for cost-effective course planning in large hierarchical organizations," European Journal of Operational Research, Elsevier, vol. 238(2), pages 579-595.
    5. Clotilde Coron, 2021. "Quantifying Human Resource Management: A Literature Review," Post-Print halshs-03212718, HAL.

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