### Abstract

A mathematical programming model is built to optimize the allocation of students into academic programs of a department. The mathematical programming model takes into account the limits of space capacity, financial allocation, the number of instructors and affirmative action quotas as goal constraints that are required to be fulfilled. Each constraint has a priority level and a weight attached. This goal programming model is then applied to the School of Mathematical Sciences, Universiti Kebangsaan Malaysia. The results of the preemptive goal programming model are then compared to that of the weighted non-preemptive goal programming model and current allocation using the weighted mean absolute percentage error. The successful application demonstrates the ability of the mathematical programming model to comply with the student intake requirement and goal constraints of the academic programs.

Original language | English |
---|---|

Pages (from-to) | 77-81 |

Number of pages | 5 |

Journal | International Journal of Mathematics and Computers in Simulation |

Volume | 10 |

Publication status | Published - 2016 |

### Fingerprint

### Keywords

- Affirmative
- Constraints
- Priority
- Weighted mean

### ASJC Scopus subject areas

- Computational Theory and Mathematics
- Modelling and Simulation
- Applied Mathematics

### Cite this

**Allocation of students into academic programs using mathematical programming.** / Hassan, Nasruddin.

Research output: Contribution to journal › Article

*International Journal of Mathematics and Computers in Simulation*, vol. 10, pp. 77-81.

}

TY - JOUR

T1 - Allocation of students into academic programs using mathematical programming

AU - Hassan, Nasruddin

PY - 2016

Y1 - 2016

N2 - A mathematical programming model is built to optimize the allocation of students into academic programs of a department. The mathematical programming model takes into account the limits of space capacity, financial allocation, the number of instructors and affirmative action quotas as goal constraints that are required to be fulfilled. Each constraint has a priority level and a weight attached. This goal programming model is then applied to the School of Mathematical Sciences, Universiti Kebangsaan Malaysia. The results of the preemptive goal programming model are then compared to that of the weighted non-preemptive goal programming model and current allocation using the weighted mean absolute percentage error. The successful application demonstrates the ability of the mathematical programming model to comply with the student intake requirement and goal constraints of the academic programs.

AB - A mathematical programming model is built to optimize the allocation of students into academic programs of a department. The mathematical programming model takes into account the limits of space capacity, financial allocation, the number of instructors and affirmative action quotas as goal constraints that are required to be fulfilled. Each constraint has a priority level and a weight attached. This goal programming model is then applied to the School of Mathematical Sciences, Universiti Kebangsaan Malaysia. The results of the preemptive goal programming model are then compared to that of the weighted non-preemptive goal programming model and current allocation using the weighted mean absolute percentage error. The successful application demonstrates the ability of the mathematical programming model to comply with the student intake requirement and goal constraints of the academic programs.

KW - Affirmative

KW - Constraints

KW - Priority

KW - Weighted mean

UR - http://www.scopus.com/inward/record.url?scp=84956630405&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84956630405&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:84956630405

VL - 10

SP - 77

EP - 81

JO - International Journal of Mathematics and Computers in Simulation

JF - International Journal of Mathematics and Computers in Simulation

SN - 1998-0159

ER -