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Abstrak :
Sejalan dengan meningkatnya popularitas kapal pesiar dalam beberapa waktu terakhir, beberapa rute baru telah dikembangkan demi menggaet ceruk pasar yang lebih luas dan lebih masif. Walaupun dalam 3 tahun ke belakang industri tersebut terdampak pandemi, namun menurut data, di seluruh dunia, industri kapal pesiar memiliki tingkat pertumbuhan tahunan penumpang sebesar 6,6% dari 1990-2019. Menyikapi hal ini, beberapa perusahaan pelayaran kapal pesiar gencar membuat dan melakukan kajian untuk membuat rute baru. Kebijakan ini juga merupakan salah satu cara perusahaan memanfaatkan kondisi pasar yang mulai berangsur membaik pasca pandemi. Sampai saat ini sudah ada total 8 armada kapal pesiar baru dari MSC Cruises yang akan dibangun dan siap berlayar di tahun 2023-2028. Namun nyatanya beberapa rute baru hanya menggunakan diversifikasi pelabuhan singgah dan destinasi di berbagai pelabuhan sebagai variabel. Maka dari itu, pemilihan rute merupakan hal yang krusial untuk dapat mengurangi biaya operasional yang tinggi, meminimalisir jarak tempuh serta konsumsi bahan bakar demi mengurangi jejak karbon dan polusi udara. Penelitian ini mengimplementasikan metode optimasi dengan menggunakan Travelling Salesman Problem, dengan algoritma Hamiltonian cycle. Dengan algoritma tersebut, harapannya dapat ditemukan jalur antar pelabuhan dari setiap trayek round-trip dari kapal MSC Cruises yang paling pendek dalam segi jarak. Penelitian ini bertujuan untuk menguji apakah trayek yang sudah ditentukan merupakan jalur paling pendek. Pada penelitian dengan judul Optimasi Pemilihan Rute Pelayaran round-trip Kapal Pesiar MSC Cruises menggunakan Hamiltonian Cycle, ditemukan adanya perbedaan jarak yang lebih dekat sehingga menghasilkan rute pelayaran round-trip yang efisien dan lebih hemat biaya. ......With the increasing popularity of cruise ships in recent times, several new routes have been developed to capture a wider and more massive market niche. Even though in the past 2 years the industry has been affected by a pandemic, according to data, worldwide, the cruise ship industry has had an annual passenger growth rate of 6.6% from 1990-2019. In response to this, several cruise ship shipping companies are intensively making and carrying out studies to create a new route. This policy is also one way for the company to take advantage of market conditions which are starting to improve gradually after the pandemic. Until now, there are a total of 8 new cruise ships from MSC Cruises that will be built and ready to sail in 2023-2028. However, in fact, several new routes only use the diversification of transit ports and destinations at various ports as variables. Therefore, route selection is crucial to reduce high operational costs and minimize mileage and fuel consumption to reduce carbon footprint and air pollution. This study implements the optimisation method using the Traveling Salesman Problem, with the Hamiltonian cycle algorithm. With this algorithm, the hope is to find the shortest route between ports from each round-trip route for MSC Cruises in terms of distance. This study aims to test whether the route that has been determined is the shortest path. In a study entitled Optimizing the Selection of Round-trip Cruise Routes for MSC Cruises using the Hamiltonian Cycle to find a difference in closer distances resulting in an efficient and more cost-effective round-trip shipping route.

Abstrak :
[This book summarizes a line of research that maps certain classical problems of discrete mathematics and operations research, such as the Hamiltonian cycle and the Travelling Salesman problems, into convex domains where continuum analysis can be carried out., This book summarizes a line of research that maps certain classical problems of discrete mathematics and operations research, such as the Hamiltonian cycle and the Travelling Salesman problems, into convex domains where continuum analysis can be carried out.]

Abstrak :
This book introduces and explores modern developments in the well established field of Hamiltonian dynamical systems. It focuses on high degree-of-freedom systems and the transitional regimes between regular and chaotic motion. The role of nonlinear normal modes is highlighted and the importance of low-dimensional tori in the resolution of the famous FPU paradox is emphasized. Novel powerful numerical methods are used to study localization phenomena and distinguish order from strongly and weakly chaotic regimes. The emerging hierarchy of complex structures in such regimes gives rise to particularly long-lived patterns and phenomena called quasi-stationary states, which are explored in particular in the concrete setting of one-dimensional Hamiltonian lattices and physical applications in condensed matter systems.

Abstrak :
This book provides a self-contained introduction to the theory of infinite-dimensional systems theory and its applications to port-Hamiltonian systems. Many physical systems can be formulated using a Hamiltonian framework, leading to models described by ordinary or partial differential equations. For the purpose of control and for the interconnection of two or more Hamiltonian systems it is essential to take into account this interaction with the environment. This book is the first textbook on infinite-dimensional port-Hamiltonian systems. An abstract functional analytical approach is combined with the physical approach to Hamiltonian systems. This combined approach leads to easily verifiable conditions for well-posedness and stability.