AbstrakSalah satu topik dalam teori graf yang menarik sebagian besar para peneliti adalah tentang dimensi metrik, yaitu kardinalitas minimum resolving set yang mungkin dapat dibentuk dari suatu graf. Pada paper ini dibahas tentang dimensi metrik graf Amal( ), yaitu graf yang dibangun dari topologi jaringan komputer. Graf ini dibentuk berdasarkan buah jaringan komputer topologi mesh yang dihubungkan menjadi satu-kesatuan jaringan komputer yang lebih besar dengan menggunakan topologi mesh.
The persistently inequality of development between major cities and surrounding areas caused the displacement process, that are transport of supplies or human itself (urbanization) or commonly known as the transportation. The government has set a number of policies to overcome transportation problems, for example construct a double track railway line. This study aimed to find an alternative solution to overcome the problems of transportation, especially railway line by optimizing of using single track railway line which is given the term semi-double track using Petri Nets and Max-Plus Algebra. In the previous research, a Max-Plus algebra model has been developed based on the hierarchical structure of semi-double track railway line. In this research, the model is simulated against the problem of delay.
Every object has a natural frequency. When an object gets an external force same with their natural frequency, a resonance will occur. In this study we examined how the dynamic behavior of the mooringcable of Floating Production Storage Offloading (FPSO). The mooring type isCatenary Anchor LegMooring (CALM).What happens with mooringcable if it gets external force with a small frequency but it is so close to the natural frequency of the system. In the case of transmission cable, the phenomenon that describe this event is called the Galloping Phenomenon. The mathematics model of CALM system with a small frequency will be solved using Multiple scales method. The equilibrium point obtained is in the form of a center (stable). For negative, the amplitude value will be positive when the phase is zero (in-phase), at this condition if the initial conditions are chosen close enough to the equilibrium point then the cable will periodically oscillate with a limited phase value. If the initial conditions are selected a little further from the point of equilibrium, it will oscillate with amplitude the initial is the maximum amplitude and its value added of the dependent phase against time.
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