Robust Optimization for Performance-Based Budget Allocation at Payam Noor University

Mohammad Mehdi Nasrabadi; Elham Sharifi Rasouli; Marziyeh Sharifi

doi:doi:10.11648/j.ajam.20160406.17

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Robust Optimization for Performance-Based Budget Allocation at Payam Noor University

Mohammad Mehdi Nasrabadi, Elham Sharifi Rasouli, Marziyeh Sharifi

Published in American Journal of Applied Mathematics (Volume 4, Issue 6)

Received: 10 October 2016 Accepted: 12 November 2016 Published: 5 December 2016

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Abstract

Budget allocation is a central problem in universities and research centers. Recently, Payam Noor University (PNU) has used a performance-based approach to allocate budget between proposed projects. Mathematically speaking, this can be modeled as an optimization problem, but in practice the parameters of the problem are subject to uncertainty and are not well-known in advance. This paper uses robust optimization to deal with uncertainty in budget allocation and present numerical results. Our results demonstrate the performance of robust optimization as an effective way to address uncertainty in budget allocation.

Published in	American Journal of Applied Mathematics (Volume 4, Issue 6)
DOI	10.11648/j.ajam.20160406.17
Page(s)	310-315
Creative Commons	This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.
Copyright	Copyright © The Author(s), 2016. Published by Science Publishing Group

Keywords

Linear Programming, Robust Optimization, Uncertainty, Budget Allocation

References

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[5]	Ben-Tal, A., & Nemirovski, A. (1998). Robust convex optimization, 23, 769-805.
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[7]	Ben-Tal, A., & Nemirovski, A. (2000). Robust solutions of linear programming problems contaminated with uncertain data, 88, 411-424.
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[10]	Caballero, R., Golache, T., Gomez, T., Molina, J., & Torrico, A. (2001). E_cient assignment of _nancial resources within a university system: study of the University of Malaga. European Journal of Operational Research; 133, 298-309.
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[18]	Zanakis, S. H. (1991). A multi criteria approach for library needs assessment and budget allocation. Socio-Economic Planning Science, 251, 233-245.

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APA Style

Mohammad Mehdi Nasrabadi, Elham Sharifi Rasouli, Marziyeh Sharifi. (2016). Robust Optimization for Performance-Based Budget Allocation at Payam Noor University. American Journal of Applied Mathematics, 4(6), 310-315. https://doi.org/10.11648/j.ajam.20160406.17

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ACS Style

Mohammad Mehdi Nasrabadi; Elham Sharifi Rasouli; Marziyeh Sharifi. Robust Optimization for Performance-Based Budget Allocation at Payam Noor University. Am. J. Appl. Math. 2016, 4(6), 310-315. doi: 10.11648/j.ajam.20160406.17

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AMA Style

Mohammad Mehdi Nasrabadi, Elham Sharifi Rasouli, Marziyeh Sharifi. Robust Optimization for Performance-Based Budget Allocation at Payam Noor University. Am J Appl Math. 2016;4(6):310-315. doi: 10.11648/j.ajam.20160406.17

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@article{10.11648/j.ajam.20160406.17,
  author = {Mohammad Mehdi Nasrabadi and Elham Sharifi Rasouli and Marziyeh Sharifi},
  title = {Robust Optimization for Performance-Based Budget Allocation at Payam Noor University},
  journal = {American Journal of Applied Mathematics},
  volume = {4},
  number = {6},
  pages = {310-315},
  doi = {10.11648/j.ajam.20160406.17},
  url = {https://doi.org/10.11648/j.ajam.20160406.17},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajam.20160406.17},
  abstract = {Budget allocation is a central problem in universities and research centers. Recently, Payam Noor University (PNU) has used a performance-based approach to allocate budget between proposed projects. Mathematically speaking, this can be modeled as an optimization problem, but in practice the parameters of the problem are subject to uncertainty and are not well-known in advance. This paper uses robust optimization to deal with uncertainty in budget allocation and present numerical results. Our results demonstrate the performance of robust optimization as an effective way to address uncertainty in budget allocation.},
 year = {2016}
}

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TY  - JOUR
T1  - Robust Optimization for Performance-Based Budget Allocation at Payam Noor University
AU  - Mohammad Mehdi Nasrabadi
AU  - Elham Sharifi Rasouli
AU  - Marziyeh Sharifi
Y1  - 2016/12/05
PY  - 2016
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DO  - 10.11648/j.ajam.20160406.17
T2  - American Journal of Applied Mathematics
JF  - American Journal of Applied Mathematics
JO  - American Journal of Applied Mathematics
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PB  - Science Publishing Group
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AB  - Budget allocation is a central problem in universities and research centers. Recently, Payam Noor University (PNU) has used a performance-based approach to allocate budget between proposed projects. Mathematically speaking, this can be modeled as an optimization problem, but in practice the parameters of the problem are subject to uncertainty and are not well-known in advance. This paper uses robust optimization to deal with uncertainty in budget allocation and present numerical results. Our results demonstrate the performance of robust optimization as an effective way to address uncertainty in budget allocation.
VL  - 4
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Author Information

Mohammad Mehdi Nasrabadi

Department of Matematical Science, Payam Noor University, Birjand, Iran
Elham Sharifi Rasouli

Graduated Industrial Engineering, Alghadir Non-govenment Institution, Tabriz, Iran
Marziyeh Sharifi

Graduated Operation Research, Payam Noor University, Birjand, Iran

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APA Style

Mohammad Mehdi Nasrabadi, Elham Sharifi Rasouli, Marziyeh Sharifi. (2016). Robust Optimization for Performance-Based Budget Allocation at Payam Noor University. American Journal of Applied Mathematics, 4(6), 310-315. https://doi.org/10.11648/j.ajam.20160406.17

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ACS Style

Mohammad Mehdi Nasrabadi; Elham Sharifi Rasouli; Marziyeh Sharifi. Robust Optimization for Performance-Based Budget Allocation at Payam Noor University. Am. J. Appl. Math. 2016, 4(6), 310-315. doi: 10.11648/j.ajam.20160406.17

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AMA Style

Mohammad Mehdi Nasrabadi, Elham Sharifi Rasouli, Marziyeh Sharifi. Robust Optimization for Performance-Based Budget Allocation at Payam Noor University. Am J Appl Math. 2016;4(6):310-315. doi: 10.11648/j.ajam.20160406.17

Copy | Download

@article{10.11648/j.ajam.20160406.17,
  author = {Mohammad Mehdi Nasrabadi and Elham Sharifi Rasouli and Marziyeh Sharifi},
  title = {Robust Optimization for Performance-Based Budget Allocation at Payam Noor University},
  journal = {American Journal of Applied Mathematics},
  volume = {4},
  number = {6},
  pages = {310-315},
  doi = {10.11648/j.ajam.20160406.17},
  url = {https://doi.org/10.11648/j.ajam.20160406.17},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajam.20160406.17},
  abstract = {Budget allocation is a central problem in universities and research centers. Recently, Payam Noor University (PNU) has used a performance-based approach to allocate budget between proposed projects. Mathematically speaking, this can be modeled as an optimization problem, but in practice the parameters of the problem are subject to uncertainty and are not well-known in advance. This paper uses robust optimization to deal with uncertainty in budget allocation and present numerical results. Our results demonstrate the performance of robust optimization as an effective way to address uncertainty in budget allocation.},
 year = {2016}
}

Copy | Download

TY  - JOUR
T1  - Robust Optimization for Performance-Based Budget Allocation at Payam Noor University
AU  - Mohammad Mehdi Nasrabadi
AU  - Elham Sharifi Rasouli
AU  - Marziyeh Sharifi
Y1  - 2016/12/05
PY  - 2016
N1  - https://doi.org/10.11648/j.ajam.20160406.17
DO  - 10.11648/j.ajam.20160406.17
T2  - American Journal of Applied Mathematics
JF  - American Journal of Applied Mathematics
JO  - American Journal of Applied Mathematics
SP  - 310
EP  - 315
PB  - Science Publishing Group
SN  - 2330-006X
UR  - https://doi.org/10.11648/j.ajam.20160406.17
AB  - Budget allocation is a central problem in universities and research centers. Recently, Payam Noor University (PNU) has used a performance-based approach to allocate budget between proposed projects. Mathematically speaking, this can be modeled as an optimization problem, but in practice the parameters of the problem are subject to uncertainty and are not well-known in advance. This paper uses robust optimization to deal with uncertainty in budget allocation and present numerical results. Our results demonstrate the performance of robust optimization as an effective way to address uncertainty in budget allocation.
VL  - 4
IS  - 6
ER  -

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