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"Besarnya kebutuhan akan kemasan kayu dalam kegiatan perdagangan menuntut produsen kemasan kayu untuk mengembangkan sistem penjadwalan produksi yang optimal agar dapat memenuhi permintaan pasar. Penelitian ini membahas optimasi penjadwalan produksi kemasan kayu, khususnya pallet, dengan system job shop melalui penerapan algoritma Differential Evolution. Prinsip algoritma DE sesuai dengan analogi evolusi biologi yang terdiri dari proses inisialisasi populasi, proses mutasi, proses pindah silang, dan proses seleksi. Tujuan dari penelitian ini adalah untuk meminimumkan total biaya (dalam satutan waktu) yang timbul sebagai akibat dari keterlambatan dalam proses produksi kemasan kayu, khususnya pallet yang dipergunakan untuk mengemas barang-barang ekspor. Penelitian dilakukan melalui studi kasus dengan mengamati proses produksi pallet pada suatu produsen pallet. Hasil dari penelitian ini adalah diperolehnya usulan penjadwalan produksi dengan penurunan total biaya keterlambatan sebesar 25,22%, (dari 23590 menit menjadi 17640 menit) serta penurunan pada kriteria lainnya seperti jumlah pesanan yang terlambat, total waktu keterlambatan, dan waktu penyelesaian. Simulasi penambahan kapasitas menunjukkan bahwa penambahan jumlah mesin pada stasiun serut dan potong dapat menghilangkan keterlambatan dan meningkatkan output hingga 95%.

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The ever increasing need of wooden packaging , whether for international as well as inter-islands transportation of traded goods, has required the producers of wooden packaging to develop an optimized production scheduling system to fulfill the market demand. This research studies the optimization of the job shop production scheduling system of wooden packaging, particularly pallet, through the application of the Differential Evolution (DE) algorithm. The principles of the DE algorithm is in line with the biological evolution analogy which consists of the initialization of population, mutation, crossover, and selection processes. The DE algorithm has some excellent features namely the concept is simple, easy to apply, quick in producing solutions, and robust. The objektif of this research is to minimize the total cost (in time unit) resulting from the delay in the production process of wooden packaging, particularly pallet.

This research is a case-study which is carried-out by observing pallet production process at a wooden packaging manufacturer. The company produces wood packaging, mainly pallet, which are used for the packaging of exported goods. This research leads to a recommendation on the wooden packaging production schedule with more efficient cost. The total cost resulting from the delay in the production is reduced by 25,22% (from 23590 minutes to 17640 minutes). There are also reductions in the total of tardy job, total of tardiness, and makespan. A simulation of work station capacity upgrade also shows that the addition of the number of machineries in planing and sawing station will eliminate delay and increase output up to 95%."

"Penelitian ini membahas masalah penjadwalan job shop. Pada sistem ini akan dilakukan kegiatan pemuatan barang ke dalam kontainer ekspor dimana waktu kedatangan dari kendaraan pembawa barangnya adalah bervariasi atau dinamis. Penjadwalan suatu kegiatan merupakan suatu permasalahan yang kompleks sehingga dibutuhkan metode yang tepat untuk mendapatkan solusi yang optimal untuk masalah ini. Metode penelitian yang digunakan adalah salah satu dari metode meta-heuristik, yaitu algoritma differential evolution (DE). Prinsip algoritma DE sesuai dengan analogi evolusi biologi, yaitu terdiri dari proses inisialisasi populasi, proses mutasi, proses pindah silang, dan proses seleksi. Algoritma ini memiliki beberapa keunggulan, yaitu konsepnya sederhana, mudah diaplikasikan, cepat dalam menghasilkan solusi, dan tangguh. Fungsi tujuan dari permasalahan ini ialah meminimumkan total biaya keterlambatan seluruh job. Penjadwalan yang diperoleh melalui algoritma differential evolution pada proses kegiatan pemuatan barang ekspor di perusahaan third party logistics dengan studi kasus PT.X menghasilkan total biaya lembur seluruh job sebesar Rp.8.244.000. Jadi, usulan jadwal menghasilkan penurunan total biaya keterlambatan sebesar 9% dibandingkan jadwal perusahaan.

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This research presents job shop scheduling. This system will imply for stuffing activity where the arrival time of truck is dynamic. Production scheduling is a complex problem so that appropriated method to produces the optimal solution of it is needed. Method of this research is one of metaheuristic algorithms, differential evolution (DE) algorithm. The principle of DE algorithm is based on analogy of biological evolution that consists of population initiation process, mutation process, crossover process, and selection process. This algorithm has some strengths because of its simply structure, ease to use, speed, and robustness. The objective function in this problem is to minimize total of tardiness costs of all jobs. The schedule that is obtained from differential evolution algorithm produces in stuffing process of PT. X as a Third Party Logistics company, the total of overtime costs are 8.244.000 rupiah, Thus, new schedule produces reduction of total of tardiness costs about 9% compared with schedule of company."

"Homotopy Analysis Method in Nonlinear Differential Equations" presents the latest developments and applications of the analytic approximation method for highly nonlinear problems, namely the homotopy analysis method (HAM). Unlike perturbation methods, the HAM has nothing to do with small/large physical parameters. In addition, it provides great freedom to choose the equation-type of linear sub-problems and the base functions of a solution. Above all, it provides a convenient way to guarantee the convergence of a solution. This book consists of three parts. Part I provides its basic ideas and theoretical development. Part II presents the HAM-based Mathematica package BVPh 1.0 for nonlinear boundary-value problems and its applications. Part III shows the validity of the HAM for nonlinear PDEs, such as the American put option and resonance criterion of nonlinear travelling waves. New solutions to a number of nonlinear problems are presented, illustrating the originality of the HAM. Mathematica codes are freely available online to make it easy for readers to understand and use the HAM. "

"Penelitian ini membahas masalah penjadwalan job shop pada suatu perusahaan tertentu. Permasalahan job shop merupakan permasalahan yang sudah umum, akan tetapi pada penelitian ini ada keunikan dimana ada pengulangan proses dari job tertentu yang harus dikerjakan pada mesin tertentu sebelumnya. Sebagai akibatnya ?ditambahkan? mesin dummy untuk membantu mempermudah penyelesaian masalah ini, penambahan mesin mana menjadikan uniknya persoalan job shop. Sebagai model job shop digunakan 10 jobs dengan 85 pesanan dan 6 mesin yang berbeda, ditambah dengan 2 mesin dummy. Masalah penjadwalan dalam job shop ini diselesaikan dengan menggunakan metode algoritma differential evolution (DE) yang meminimalkan total biaya produksi. Penjadwalan dengan metode algoritma DE memberikan solusi yang cepat. Hasil dari penjadwalan dapat menghemat 0.19% total biaya produksi, juga makespan mengalami perbaikan 24% terhadap jadwal lama. Dengan demikian perusahaan bisa meningkatkan jumlah pesanan.

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This study presents a job shop scheduling problem on a specific company. Job shop is a common problem, but in this study, there is a uniqueness of the job shop involving a repetition process of operation on certain jobs. As a result, dummy machine is ?added? to ease the problem. The model used 10 jobs, 85 orders and 6 different machines with 2 additional dummy machines. Differential evolution (DE) algorithm method is used to solve the problem, which minimizes the total cost of production. Scheduling with DE algorithm provides a quick solution. The results save 0.19% of total production costs, and improve makespan 24% compared to old scheduling. With the proposed method the company can increase the numbers of orders."

"This volume provides the first comprehensive study of the pullback equation for differential forms. The text recounts various properties of exterior and differential forms, and presents the classical Hodge-Morrey decomposition. The work begins by recounting various properties of exterior forms and differential forms that prove useful throughout the book. From there it goes on to present the classical Hodge–Morrey decomposition and to give several versions of the Poincaré lemma. The core of the book discusses the case k = n, and then the case 1≤ k ≤ n–1 with special attention on the case k = 2, which is fundamental in symplectic geometry. Special emphasis is given to optimal regularity, global results and boundary data. The last part of the work discusses Hölder spaces in detail."

"Penelitian ini membahas masalah penjadwalan job shop pada suatu perusahaan. Pada sistem ini akan dihasilkan sejumlah produk dalam beberapa jenis dengan rute yang dapat berbeda satu sama lain. Penjadwalan produksi merupakan suatu permasalahan yang kompleks sehingga dibutuhkan metode yang tepat untuk mendapatkan solusi yang optimal untuk permasalah ini. Metode penelitian yang digunakan yaitu algoritma Tabu Search. Fungsi tujuan dari permasalahan ini adalah meminimumkan total penalti keterlambatan. Sebagai model job shop digunakan 7 jobs dengan total 219 komponen dan 6 mesin yang berbeda. Penjadwalan dengan metode algoritma Tabu Search memberikan solusi yang cepat. Hasil dari penjadwalan dapat menghemat 22.7% total biaya produksi, juga keterlamabatan mengalami perbaikan 31% terhadap jadwal solusi awal. Dengan demikian perusahaan bisa meningkatkan jumlah pesanan.

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This study presents a job shop scheduling problem on a specific company. This research presents job shop scheduling at a company. This system yields large amount of different products with some different manufacture processes. Production scheduling is a complex problem so that appropriated method to produces the optimal solution of it is needed. Method of this research is using Tabu Search (TS) algorithm. The objective function in this problem is to minimize total penalty of tardiness.

The model used 7 jobs, 219 parts and 6 different machines. Tabu Search (TS) algorithm method is used to solve the problem, which minimizes the total penalty of tardiness. Scheduling with TS algorithm provides a quick solution. The results save 22.7% of total production costs, and improve tardiness 31% compared to old scheduling. With the proposed method the company can increase the numbers of orders."

"For those interested in advanced study and research in nonlinear partial differential equations and nonlinear wave phenomena. Updated modern examples of applications are chosen from areas of fluid dynamics, gas dynamics, plasma physics, nonlinear dynamics, quantum mechanics, nonlinear optics, acoustics, and wave propagation."

"The book covers several topics of current interest in the field of nonlinear partial differential equations and their applications to the physics of continuous media and particle interactions. It treats the quasigeostrophic equation, integral diffusions, periodic Lorentz gas, Boltzmann equation, and critical dispersive nonlinear Schrödinger and wave equations. The book describes in a careful and expository manner several powerful methods from recent top research articles."