One example of a multi-objective optimization problem is stock portfolio management. There are at least two objective functions to be achieved simultaneously, namely to maximize returns and minimize risk. The desire to maximize return and minimize risk are conflicting objectives. In this study, the problem of multi-objective optimization in the selection of Islamic stock portfolios will use the Pascoletti-Serafini scalarization modification method. Furthermore, the solution to the multi objective optimization problem is known as the Pareto optimal solution or efficient solution. In the Pascoletti-Serafini scalarization modification method, a set of Pareto optimal solutions can be constructed so that not only one solution is offered to decision makers, but a set of Pareto optimal solutions. From this research, the results obtained in the form of a set of efficient solutions that can be used as investor preferences in choosing the optimal stock portfolio.
K-Bakery is a bakery located in Bandar Lampung City, Lampung. K-Bakery produces various types of bread, namely brown bread, nuts, greentea, mocha, and tiramisu bread which involve various raw material resources. Unstable market demand creates obstacles for K-Bakery in formulating the number of each type of bread to be produced so as to produce maximum profit. However, in determining the amount of production must pay attention to the limited supply of raw materials. In this case, there is a need for production planning so that all available resources can be used optimally and produce a combination of production that provides maximum profit. One way to solve this problem is to optimize production using a fuzzy linear program with a tolerance of 10% as the capability of K-Bakery. The use of the fuzzy linear program generates greater profits than the usual linear program, the profit obtained is Rp. 11.247.972,1708by producing 320 chocolate breads, 449,75 peanut breads, 365,667 greentea breads, 250 moka breads fruit, 449,925 srikaya bread, and 499,975 tiramisu breads. In addition, the value of l = 0,5 is obtained, or in other words, the maximum addition of each raw material is 50% of the available safety stock.
Penelitian ini bertujuan untuk menyelidiki hubungan antara barisan Fibonacci dan Lucas, dan membuktikan identitas-identitas barisan Fibonacci dan Lucas. Barisan Fibonacci dan Lucas merupakan barisan rekursif yang mempunyai aturan yang sama namun memiliki nilai awal yang berbeda. Dalam penelitian ini, akan dibahas beberapa identitas yang melibatkan kedua barisan tersebut, serta satu identitas yang berkaitan dengan segitiga Pascal.Kata kunci : Barisan Fibonacci, barisan Lucas, relasi, idetitas barisan.
The formulation of the problem in this study are: How do training, compensation and emotional intelligence affect teacher performance. This study aims to determine how much influence training, compensation and emotional intelligence have on teacher performance. Sampling in this study using the Total Sampling technique, the sample in this study amounted to 33 people. The results of this study are; Partial training has a positive effect on teacher performance; Compensation partially has a positive effect on teacher performance; Emotional intelligence partially has a positive effect on teacher performance; Training, compensation and emotional intelligence have a positive effect on teacher performance.
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