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MOSAlloc

MOSAlloc provides a framework for multipurpose optimal resource allocation in survey sampling, extending the classical optimal allocation principles introduced by Tschuprow (1923) and Neyman (1934) to multidomain and multivariate allocation problems. Conic quadratic problem representations are parsed to the Embedded Conic Solver from the ECOSolveR package. See Willems (2025, doi:10.25353/ubtr-9200-484c-5c89) for a detailed description of the theory behind MOSAlloc.

Installation

You can install the development version of MOSAlloc from GitLab using the remotes package:

# install.packages("remotes")
remotes::install_gitlab("willemsf/mosalloc")

Citation

Cite package as:

Willems, F. (2025). A Framework for Multiobjective and Uncertain Resource Allocation Problems in Survey Sampling based on Conic Optimization. Ph.D. thesis, Trier University, Trier, Germany. https://doi.org/10.25353/ubtr-9200-484c-5c89.

Licensing

This package is licensed under the GNU General Public License, version 3 or later (GPL-3.0-or-later).

Author / Maintainer

Felix Willems, Trier University Email: willemsf@uni-trier.de

Maintainer: Felix Willems mail.willemsf+MOSAlloc@gmail.com

Supervised by Prof. Dr. Ralf Münnich, Trier University.

References

Neyman, J. (1934). On the Two Different Aspects of the Representative Method: The Method of Stratified Sampling and the Method of Purposive Selection. Journal of the Royal Statistical Society, 97(4), 558–625.

Tschuprow, A.A. (1923). On the Mathematical Expectation of the Moments of Frequency Distribution in the Case of Correlated Observations. Metron, 2(3,4), 461-493, 646-683.

Willems, F. (2025). A Framework for Multiobjective and Uncertain Resource Allocation Problems in Survey Sampling based on Conic Optimization (Doctoral dissertation). Trier University. https://doi.org/10.25353/ubtr-9200-484c-5c89.

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Version

Install

install.packages('MOSAlloc')

Version

1.2.4

License

GPL (>= 3)

Maintainer

Felix Willems

Last Published

February 7th, 2026

Functions in MOSAlloc (1.2.4)

mosallocStepwiseFirst

Multiobjective sample allocation for constraint multivariate and multidomain optimal allocation in survey sampling (a stepwise optimality procedure is processed first to force Pareto optimality of the solution)
print.summary.mosaSTRS

Print a summary.mosaSTRS object
summary.mosaSTRS

Summary a mosaSTRS object
constructCrestrSTRS

Constructor for cost constraints
constructDobjCostSTRS

Constructor for cost objective components
constructDobjPrecisionSTRS

Constructor for precision objective components
mosalloc

Multiobjective sample allocation for constraint multivariate and multidomain optimal allocation in survey sampling
mosallocSTRS

(Single-stage) stratified random sampling interface for functions mosalloc() and mosallocStepwiseFirst()
constructArestrSTRS

Constructor for precision constraints