Proceedings of the International Conference on Science and Engineering (ICSE-UIN-SUKA 2021)

Determining Optimal Solutions in Learning Outcome Using One to One Fixed Method

Authors
Elis Ratna Wulan1, *, Dindin Jamaluddin2, Wildan Noor Ramadhan1
1Mathematics Department, UIN Sunan Gunung Djati Bandung, Indonesia
2Islamic Education Department, UIN Sunan Gunung Djati Bandung, Indonesia
*Corresponding author. Email: elis_ratna_wulan@uinsgd.ac.id
Corresponding Author
Elis Ratna Wulan
Available Online 23 December 2021.
DOI
https://doi.org/10.2991/aer.k.211222.002How to use a DOI?
Keywords
solid assignment problem; one-to-one fixed method; optimal solution
Abstract

General assignment problems include n tasks that must be assigned to m workers where each worker has different competencies in completing each task. This research discusses the problem of solving minimization case assignments using a new method, namely the One-to-One Fixed Method. Completion of the One-to-One Fixed method starts by seeing whether the data obtained is balanced or not, if not then an additional dummy, if yes then proceed to the next stage, calculate the penalty by subtracting each row and column with the smallest element, and combining the results of subtracting rows and column into one table. Next, count those that are affected by the line 2 times and are added and are not affected by the line minus the smallest cost that is not affected by the line, if you have not found the optimal result then repeat the steps until you find the optimal result. In the problem of assigning the minimization case after using the One to One Fixed method on a 3 × 3 matrix, the total cost to be incurred by the Islamic Higher Education is $22. With the allocation: learning outcome 1 is done by lecturer 3 at Department 3 = $ 6, learning outcome 2 is done by lecturer 1 at Department 2 = $ 9, learning outcome 3 is done by lecturer 2 at Department 1 = $ 7.

Copyright
© 2021 The Authors. Published by Atlantis Press International B.V.
Open Access
This is an open access article under the CC BY-NC license.

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Volume Title
Proceedings of the International Conference on Science and Engineering (ICSE-UIN-SUKA 2021)
Series
Advances in Engineering Research
Publication Date
23 December 2021
ISBN
978-94-6239-494-0
ISSN
2352-5401
DOI
https://doi.org/10.2991/aer.k.211222.002How to use a DOI?
Copyright
© 2021 The Authors. Published by Atlantis Press International B.V.
Open Access
This is an open access article under the CC BY-NC license.

Cite this article

TY  - CONF
AU  - Elis Ratna Wulan
AU  - Dindin Jamaluddin
AU  - Wildan Noor Ramadhan
PY  - 2021
DA  - 2021/12/23
TI  - Determining Optimal Solutions in Learning Outcome Using One to One Fixed Method
BT  - Proceedings of the International Conference on Science and Engineering (ICSE-UIN-SUKA 2021)
PB  - Atlantis Press
SP  - 7
EP  - 11
SN  - 2352-5401
UR  - https://doi.org/10.2991/aer.k.211222.002
DO  - https://doi.org/10.2991/aer.k.211222.002
ID  - Wulan2021
ER  -