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Abstrak :
This volume addresses recent developments in mathematical modeling in three areas of optical science: diffractive optics, photonic band gap structures, and waveguides. Particular emphasis is on the formulation of mathematical models and the design and analysis of new computational approaches. The book contains cutting-edge discourses on emerging technology in optics that provides significant challenges and opportunities for applied mathematicians, researchers, and engineers. Each of the three topics is presented through a series of survey papers to provide a broad overview focusing on the mathematical models. Chapters present model problems, physical principles, mathematical and computational approaches, and engineering applications corresponding to each of the three areas. Although some of the subject matter is classical, the topics presented are new and represent the latest developments in their respective fields.

Abstrak :
Sekolah menengah di London, Inggris memiliki permasalahan dalam menempatkan murid-murid baru ke dalam grup-grup tutor. Dalam menempatkan murid-murid ke dalam grup tutor terdapat asumsi-asumsi yang harus diperhatikan agar terbentuk grup tutor yang sesuai dengan yang diharapkan. Karena waktu yang tersedia untuk pembentukkan grup tutor cukup singkat dan jika dilakukan secara manual membutuhkan waktu kerja yang cukup lama maka pada skripsi ini dilakukan penyelesaian secara heuristik dengan program komputer yang jika diimplementasikan akan meminimalkan waktu penempatan murid-murid ke dalam grup tutor. ......Secondary school in London, England has a problem in assigning new students into tutor groups. In assigning students into tutor groups, there are assumptions that must be taken to ensure that the tutor group formed as expected. Because the available time for the formation of a tutor group is quite short and if done manually takes quite a long time indeed. This skripsi is processed in heuristic solving with a computational program which will minimize the time of assignment of students into tutor groups if implemented correctly.

Abstrak :
Konsep dalam suatu perancangan baik peralatan, lingkungan kerja maupun prosedur sistem kerja membutuhkan basis data yang relevan dengan faktor manusia. Perancangan yang mengutamakan nilai ergonomi dapat meningkatkan nilai performa kerja bahkan mengembangkan aspek bisnis dalam dunia industri. Pada penelitian ini, penulis merancang model matematika untuk proyek database antropometri Indonesia dengan berbasis pada data antropometri 3D. Pembuatan model matematika ini dilakukan melalui pendekatan studi kasus dan analisa statistik untuk membentuk model keterkaitan variabel yang akurat. Rancangan model ini kemudian dikemas dalam bentuk pemrograman untuk kepentingan dunia industri, penelitian maupun pendidikan. ......The concept of designs for equipments, work environment and work procedure system need appropriate data which relevances with human factor. Every design should prioritize ergonomics value to improve work performance and to develop business aspect for industries. In this research, the author designed the mathematical modeling for national anthropometric database project with 3D antropometric data as the standard. The development of this mathematical modeling used case study approach and statistical analysis to create accurate relationship among the variables. Lastly, the model was packaged in a program for industrial, research and education needs.

Abstrak :
This book provides a new paradigm for evacuation planning strategies and techniques. Recently, evacuation planning and modeling have increasingly attracted interest among researchers as well as government officials. This interest stems from the recent catastrophic hurricanes and weather-related events that occurred in the southeastern United States (Hurricane Katrina and Rita). The evacuation methods that were in place before and during the hurricanes did not work well and resulted in thousands of deaths. This book offers insights into the methods and techniques that allow for implementing mathematical-based, simulation-based, and integrated optimization and simulation-based engineering approaches for evacuation planning.

Abstrak :
Globalization and the possibility of bioterrorist acts have highlighted the pressing need for the development of theoretical and practical mathematical frameworks that may be useful in our systemic efforts to anticipate, prevent, and respond to acts of destabilization. Bioterrorism: Mathematical Modeling Applications in Homeland Security collects the detailed contributions of selected groups of experts from the fields of biostatistics, control theory, epidemiology, and mathematical biology who have engaged in the development of frameworks, models, and mathematical methods needed to address some of the pressing challenges posed by acts of terror. The ten chapters of this volume touch on a large range of issues in the subfields of biosurveillance, agroterrorism, bioterror response logistics, deliberate release of biological agents, impact assessment, and the spread of fanatic behavior

Abstrak :
Penelitian tesis ini mengembangkan pemodelan matematis pembangkitan panas pada FSSW. Pemodelan secara analitik dibuat untuk empat jenis geometri pahat. Parameter kecepatan putar pahat yang dipergunakan sangat tinggi saat tidak ada beban asymp; 32000 RPM jika dibandingkan dengan penelitian lainnya yang berkisar 600 ndash; 3000 RPM. Berdasarkan hasil eksperimen didapatkan bahwa kecepatan putar nilainya sangat dinamis, hal ini dipengaruhi oleh beberapa faktor antara lain, gaya aksial, dimensi pahat, koefisien gaya gesek, kedalaman penetrasi, dan faktor slip. Fokus dari penelitian ini adalah mencari tahu sejauh mana parameter faktor slip slip factor dapat mempengaruhi nilai pembangkitan panas. Parameter lainnya telah dibatasi dan diasumsikan dengan merujuk pada studi literatur, sedangkan dari keempat geometri yang telah dibuat hanya pahat pelat datar yang dilakukan uji simulasi. Untuk melihat pengaruh variasi faktor slip maka dilakukan uji simulasi pembangkitan panas dengan menggunakan MATLAB dan simulasi temperatur transien dengan menggunakan ANSYS. Objek benda kerja yang dipergunakan adalah pelat tipis alumunium alloy AA2024 dengan ketebalan 0,4 mm. Hasil simulasi menunjukkan faktor slip sangat mempengaruhi hasil pembangkitan panas, hal ini dikarenakan nilai flow stress yang dihitung dengan menggunakan Sheppard-Wright material model jauh lebih besar dari nilai shear stress sehingga sedikit saja pertambahan faktor slip akan berdampak signifikan terhadap nilai pembangkitan panas.

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This thesis research develops mathematical modeling of heat generation in FSSW. Analytical modeling was made for four types of tools geometry. Rotational speed parameters used are extremely high when no load asymp 32000 RPM when compared with other studies ranging from 600 to 3000 RPM. Based on experimental results it is found that the rotational speed is very dynamic, this was influenced by several factors, among others, axial force, tool dimension, coefficient of friction force, penetration depth, and slip factor. The focus of this study is to find out the extent to which slip factor parameters can affect the value of heat generation. Other parameters have been limited and assumed by referring to literature studies, whereas of the four geometries that have been made only flat tool performed simulation tests. To see the effect of variation of slip factor, the simulation of heat generation using MATLAB and transient temperature simulation using ANSYS. The object of the workpiece used was a thin plate of aluminum alloy AA2024 with a thickness of 0.4 mm. Simulation results show that the slip factor greatly affects heat generation results, this is because the value of the flow stress calculated by using Sheppard Wright material model is much larger than the shear stress so that a slight increase in the slip factor will have a significant impact on the heat generation value.

Abstrak :
ABSTRAK Penelitian ini membahas mengenai manajemen persediaan obat pada suatu rumah sakit tipe D di Indonesia yang dilakukan untuk mendukung target pemerintah yaitu 95% pengadaan obat di rumah sakit dan puskesmas terpenuhi. Rumah sakit yang dijadikan objek penelitian juga memiliki dua target utama pada proses pengadaan obat yaitu kendali mutu dan kendali biaya, yang keduanya dapat dicapai dengan adanya pengelolaan manajemen persediaan obat yang baik. Salah satu cara untuk menerapkan manajemen persediaan obat yang baik adalah mengefisiensikan keputusan kuantitas (Q) obat yang dipesan dan waktu pesan (T) sehingga diperoleh total biaya persediaan obat yang minimal dan permintaan obat dari pasien terpenuhi. Metode yang diterapkan dalam penelitian ini adalah klasifikasi ABC untuk menentukan tingkat pemakaian obat dalam kurun waktu satu tahun dan Mixed Integer Linear Programming (MILP) untuk mendapatkan total biaya persediaan obat yang minimal. Hasil dari penelitian ini adalah terdapat 50 jenis obat yang termasuk ke dalam kategori A dari 526 obat di rumah sakit, jumlah kuantitas pesan (Q) obat, lead time kedatangan obat (T), dan total biaya persediaan 10 obat klasifikasi A yang berkurang sekitar Rp36.899.512 dari kondisi aktual, serta diperoleh perbandingan hasil model matematika dengan dan tanpa memperhatikan faktor kadaluarsa obat.

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ABSTRACT This research discusses the management of drug inventory in a regional public hospital (type D) in Indonesia that is carried out to support the government's target regarding 95% of drug procurement in hospitals has to be fulfilled. The object hospital of this research also has two main targets in the procurement process of drugs, namely quality control and cost control, both of which can be achieved by the efficient management of drug supplies. One of the strategies to obtain efficient drug inventory management is to plan efficient decisions on quantity (Q) of ordered drugs and order time (T) so that the minimum total cost of the drug procurement process is achieved and the demand for drugs from patients is fulfilled. The method applied in this research is the ABC classification to determine the level of drug use within one year and Mixed Integer Linear Programming (MILP) to obtain a minimum total drug procurement process cost. The results of this research are 50 types of drugs that categorized as category A from 526 drugs in the hospital, quantity of order (Q) of drugs, arrival lead time of drugs (T), and total cost of 10 drugs from classification A which was reduced by Rp36.899.512 from the actual conditions, and obtained a comparison results of mathematical models that include drug expiration factors.