lexicographic goal programming
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2021 ◽  
Vol 2021 ◽  
pp. 1-7
Author(s):  
Ali AlArjani ◽  
Teg Alam

Any bank’s financial management is essential to preparing the assets and liabilities for multiple goals. In this paper, we develop an optimal bank model for the financial management department in the Kingdom of Saudi Arabia. The lexicographic goal programming model was used to formulate the banks’ performance management. In this study, the six goals of one of the leading banks in Saudi Arabia, namely, maximize asset, minimize liability, maximize equity, maximize operating income, maximize net income, and maximizing total goal achievements in the financial statement, were studied. To illustrate the model, we have focused on Al Rajhi Bank’s financial statements as a case study. The data was obtained from the banks’ financial statements. The outcomes of the study exhibited that all goals were accomplished. This proposed model is dynamic because it will help examine the banks’ financial strengths located in the kingdom. As a result, the proposed model can guide banking firms in making decisions and developing strategies to deal with numerous monetary circumstances.


Author(s):  
Sri Basriati ◽  
Elfira Safitri ◽  
Nurul Izzah

PT. Pegadaian merupakan lembaga keuangan yang melayani masyarakat untuk mendapatkan dana pinjaman. Setiap lembaga keuangan harus membuat laporan keuangan sebagai suatu bentuk pertanggungjawaban atas hasil kinerja dalam periode tertentu. Laporan keuangan PT. Pegadaian tersebut akan dianalisa menggunakan model goal programming. Metode yang digunakan dalam penyelesaian model goal programming tersebut yaitu metode lexicographic goal programming dan simpleks yang dimodifikasi untuk mendapatkan solusi optimal. Optimalisasi dengan metode lexicographic goal programming dilakukan dengan mendahulukan prioritas pertama hingga berikutnya, sedangkan metode simpleks yang dimodifikasi menganggap setiap prioritas sama pentingnya. Berdasarkan hasil penelitian bahwa kedua metode mendapatkan solusi optimal dan iterasi yang sama, yaitu sebanyak enam iterasi. Tujuan model yaitu, aset, liabilitas, ekuitas, pendapatan dan beban dapat dicapai. Berdasarkan lima tujuan tersebut, tiga tujuan seperti total ekuitas, total pendapatan dan total beban dapat diubah untuk meningkatkan kinerja laporan keuangan. Total ekuitas dapat ditingkatkan sebesar Rp. 3.186.129,- per tahun, total pendapatan dapat ditingkatkan sebesar Rp. 957.800,- dan total beban dapat diturunkan sebesar Rp. 436.141,- per tahun.Kata kunci: Goal Programming, Laporan Keuangan, Lexicographic dan Simpleks Modifikasi.


Mathematics ◽  
2020 ◽  
Vol 8 (4) ◽  
pp. 648
Author(s):  
Inmaculada Flores ◽  
M. Teresa Ortuño ◽  
Gregorio Tirado ◽  
Begoña Vitoriano

Disasters have been striking human-beings from the beginning of history and their management is a global concern of the international community. Minimizing the impact and consequences of these disasters, both natural and human-made, involves many decision and logistic processes that should be optimized. A crucial logistic problem is the evacuation of the affected population, and the focus of this paper is the planning of supported evacuation of vulnerable people to safe places when necessary. A lexicographic goal programming model for supported evacuation is proposed, whose main novelties are the classification of potential evacuees according to their health condition, so that they can be treated accordingly; the introduction of dynamism regarding the arrival of potential evacuees to the pickup points, according to their own susceptibility about the disaster and the joint consideration of objectives such us number of evacuated people, operation time and cost, among which no trade-off is possible. The performance of the proposed model is evaluated through a realistic case study regarding the earthquake and tsunami that hit Palu (Indonesia) in September 2018.


2019 ◽  
Vol 11 (13) ◽  
pp. 3645 ◽  
Author(s):  
Marta Ezquerro ◽  
Marta Pardos ◽  
Luis Diaz-Balteiro

Since its origins, the idea of sustainability has always been linked to forest management. However, nowadays, sustainable forest management has usually been approached by defining a set of criteria and indicators. This paper aims to address sustainability in forest management including a set of criteria encompassing the most common decisions: whether the stands are even or uneven-aged, and the optimal silviculture that should be applied in each stand. For this purpose, a lexicographic goal programming model with two priority levels has been defined, into which six different criteria are integrated. Each criterion corresponds to a particular pillar (economic, technical, or environmental). Furthermore, also incorporated into the model are the preferences of diverse stakeholders, both for the criteria considered in the analysis and for the most suitable silvicultural alternatives to be applied in each stand. This methodology has been applied to a case study in Spain, and the results show much more attractive solutions than the current forest management planning, allowing the obtainment of multi-aged systems that could be favourable for other ecosystem services.


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