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Description

Constraint Multiobjective Sample Allocation.

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. The primary method mosalloc() allows for the consideration of precision and cost constraints at the subpopulation level while minimizing either a vector of sampling errors or survey costs across a broad range of optimal sample allocation problems. The approach supports both single- and multistage designs. For single-stage stratified random sampling, the mosallocSTRS() function offers a user- friendly interface. Sensitivity analysis is supported through the problem's dual variables, which are naturally obtained via the internal use of 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'.

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

Install the latest CRAN version of MOSAlloc by entering the following in R:

install.packages("MOSAlloc")

You can install MOSAlloc (development version) 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: [email protected]

Maintainer: Felix Willems [email protected]

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.

Metadata

Version

1.2.5

License

Unknown

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