Development Of Profit-Based Optimal Selection Model On Six Sigma Projects Using Integer Linear Programming (ILP)

Alfiyah, Siti (2009) Development Of Profit-Based Optimal Selection Model On Six Sigma Projects Using Integer Linear Programming (ILP). Masters thesis, Institut Teknologi Sepuluh November.

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Abstract

Kondisi industri yang semakin kompetitif menyebabkan perusahaan berlomba-lomba melakukan perbaikan proses bisnis. Akan tetapi, biaya yang diperlukan untuk melaksanakan proyek perbaikan sering kali sangat besar, sementara ketersediaan anggaran sangat terbatas. Selain itu, banyak proyek perbaikan yang berhasil memperbaiki proses, tetapi secara finansial tidak memberikan kinerja yang baik. Oleh karena itu, pemilihan usulan proyek perbaikan sebaiknya dilakukan berdasarkan ekspektasi peningkatan profit yang dihasilkan, bukan berdasarkan biaya minimal yang diperlukan oleh suatu proyek. Dalam proyek perbaikan, sering kali hanya failure cost yang dipertimbangkan, padahal prevention cost dan appraisal cost juga memiliki proporsi yang cukup signifikan dalam cost of quality. Apabila kedua biaya tersebut tidak dipertimbangkan, peningkatan profit yang dihasilkan menjadi kurang representatif. Penelitian ini mengembangkan suatu model matematis yang dapat memilih proposal proyek perbaikan dengan memaksimalkan peningkatan profit pada anggaran yang terbatas serta menyertakan Model PAF (Prevention-Appraisal-Failure) dalam proses pemilihannya. Model matematis yang disusun berbentuk Integer Linear Programming (ILP). Pengujian model dilakukan menggunakan dua set data hipotetis, yaitu data bervariasi dan data flat, sedangkan eksekusi model dilakukan menggunakan software LINDO. Hasil penelitian menunjukkan bahwa beberapa proposal proyek perbaikan dipilih karena proses yang bersangkutan belum berada pada area optimum. Terdapat pula proposal proyek perbaikan yang tidak dipilih karena prosesnya telah berada pada area optimum. Proposal-proposal tersebut tidak dipilih karena tidak menghasilkan peningkatan profit maksimum dengan anggaran terbatas yang tersedia. Hasil ini menunjukkan bahwa model yang dikembangkan dapat memilih proposal proyek perbaikan yang menghasilkan peningkatan profit maksimum dengan anggaran terbatas dan mempertimbangkan Model PAF. Dengan demikian, model ini dapat berfungsi sebagai alat bantu bagi tim manajemen dalam memilih proposal perbaikan agar program perbaikan yang dilaksanakan tidak hanya menghasilkan proses yang lebih baik, tetapi juga mampu memberikan kinerja finansial yang baik.
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The increasingly competitive industrial environment has encouraged companies to continuously improve their business processes. However, the costs required to implement improvement projects are often substantial, while the available budget is limited. In addition, many improvement projects successfully improve processes but do not deliver satisfactory financial performance. Therefore, improvement project proposals should preferably be selected based on the expected increase in profit rather than the minimum cost required to implement a project. In improvement projects, failure costs are often the primary consideration, even though prevention costs and appraisal costs can also account for a significant proportion of the cost of quality. If these two costs are not taken into consideration, the resulting profit increase may not be representative. This study develops a mathematical model for selecting improvement project proposals by maximizing profit increase under a limited budget constraint while incorporating the PAF (Prevention-Appraisal-Failure) Model into the selection process. The mathematical model is formulated as an Integer Linear Programming (ILP) model. The model is tested using two sets of hypothetical data, namely varied data and flat data, and is executed using LINDO software. The results show that several improvement project proposals are selected because the corresponding processes have not yet reached their optimum areas. Other proposals are not selected because the corresponding processes have already reached their optimum areas. These proposals are excluded because they do not generate the maximum profit increase under the available budget constraint. The results demonstrate that the developed model can select improvement project proposals that maximize profit increase under a limited budget while incorporating the PAF Model. Therefore, the model can serve as a tool for management teams in selecting improvement project proposals so that improvement programs not only enhance business processes but also deliver sound financial performance.

Item Type:	Thesis (Masters)
Additional Information:	658.562 Alf d
Uncontrolled Keywords:	model matematis ILP, Six Sigma, proposal proyek perbaikan, Model P AF, pemilihan optimal, ILP-mathematical model, Six Sigma, improvement project proposal, P AF-Model, optimal selection
Subjects:	T Technology > TS Manufactures > TS156 Quality Control. QFD. Taguchi methods (Quality control)
Divisions:	Faculty of Industrial Technology > Industrial Engineering > 26101-(S2) Master Thesis
Depositing User:	magang .
Date Deposited:	29 Sep 2026 08:11
Last Modified:	29 Sep 2026 08:11
URI:	http://repository.its.ac.id/id/eprint/145036

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