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Integrating Preventive Maintenance Scheduling As Probability Machine Failure And Batch Production Scheduling Zahedi Zahedi; Ashadi Salim
ComTech: Computer, Mathematics and Engineering Applications Vol. 7 No. 2 (2016): ComTech
Publisher : Bina Nusantara University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.21512/comtech.v7i2.2247

Abstract

This paper discusses integrated model of batch production scheduling and machine maintenance scheduling. Batch production scheduling uses minimize total actual flow time criteria and machine maintenance scheduling uses the probability of machine failure based on Weibull distribution. The model assumed no nonconforming parts in a planning horizon. The model shows an increase in the number of the batch (length of production run) up to a certain limit will minimize the total actual flow time. Meanwhile, an increase in the length of production run will implicate an increase in the number of PM. An example was given to show how the model and algorithm work.
Perancangan Program Aplikasi Market Basket Analysis untuk Mendukung Persediaan Barang dengan Metode Fuzzy C-Covering Zahedi Zahedi; Charies Chandra
ComTech: Computer, Mathematics and Engineering Applications Vol. 3 No. 1 (2012): ComTech
Publisher : Bina Nusantara University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.21512/comtech.v3i1.2410

Abstract

Any difficulty in analyzing sales transaction data is often faced by a company due to the huge number of sales transactions and the limited tools to process the data. It results in losses for the company since it is difficult to estimate the goods supply for subsequent sales. In this paper a data mining application is designed to analyze sales data. Market Basket Analysis is a data mining application that aims to determine most purchased or used products at once by the consumer. The process of Market Basket Analysis is to analyze consumer buying habits by finding associations among products purchased by different customers. The method used in Market Basket Analysis is a method of Fuzzy c-Covering, which is one method to classify the elements of a universal set into partitions of fuzzy sets. This study found that the value of support and confidence is part of the Market Basket Analysis, computed using the Fuzzy c-Covering. The higher the limit, the more selected the analytical results obtained are.
Model Integrasi Penjadwalan Batch dan Penjadwalan Preventive Maintenance dengan Kriteria Minimisasi Biaya Simpan, Biaya Setup, Biaya Pm, serta Biaya Rework pada Mesin Stabil Zahedi Zahedi
ComTech: Computer, Mathematics and Engineering Applications Vol. 5 No. 1 (2014): ComTech
Publisher : Bina Nusantara University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.21512/comtech.v5i1.2634

Abstract

This study developed a model of batch scheduling involving the unavailability machine to minimize setup costs, cost of preventive maintenance and the cost of rework in a stable machine. This model is considered necessary in order to understand the effect of the unavailability machine for production runs and to understand the effect on the batch production schedule. The results of this study indicate that the first and last run will not give single batch. Given a hypothetical example of how the model and algorithm developed solve the problem instance. 
Model Terintegrasi Penjadwalan Batch dan Pm dengan Kriteria Minimalisasi Biaya Simpan, Setup dan Pm pada Mesin dengan Increasing Failure Rate Zahedi Zahedi
ComTech: Computer, Mathematics and Engineering Applications Vol. 4 No. 1 (2013): ComTech
Publisher : Bina Nusantara University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.21512/comtech.v4i1.2690

Abstract

Development of today's manufacturing systems leads to the getting shorter in product life cycle, more variety of products, as well as increasing in consumer demand for quality and timeliness. Thus the accuracy and speed of decision-making within the manufacturing system becomes important. This paper proposes an integrated model of batch scheduling and preventive maintenance scheduling, in assumption no non-conforming parts to the criteria of minimizing the total saving cost, setup cost, preventive maintenance cost in minimizing the actual flow time on a machine with increasing failure rate. An example is provided to show how the model and algorithm work.
Perancangan Program Aplikasi Deteksi Iris Mata untuk Absensi Karyawan Menggunakan Metode Gabor Wavelet Zahedi Zahedi; Eka Janitra
ComTech: Computer, Mathematics and Engineering Applications Vol. 2 No. 1 (2011): ComTech
Publisher : Bina Nusantara University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.21512/comtech.v2i1.2730

Abstract

To take the employees’ absences in a company, a variety of invented tools or technologies are and already used, for example, attendance cards, fingerprints attendance tool, and attendance tool that uses facial recognition. Attendance tool with a facial recognition uses iris recognition of those employees. Iris code has many properties that hard to forge. Thus, the detection and iris recognition is one of the most secure and accurate for identification. 
Integer Relaxation on Binary Quadratic Programming for Batching and Sequencing in Single Formulation to Minimize Total Actual Flow Times Criteria Zahedi Zahedi
ComTech: Computer, Mathematics and Engineering Applications Vol. 2 No. 2 (2011): ComTech
Publisher : Bina Nusantara University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.21512/comtech.v2i2.2857

Abstract

This paper examines batch scheduling problem that has batching and sequencing in single formulation for multiple-item case. The first step is to develop a model for single item single resource discussed in Zahedi (2008). The model determined batch sizes and their schedule simultaneously in single item case. This paper develops the model and algorithm for multiple-item case. The model functions to minimize total actual flow times. An algorithm for the model is developed using a relaxation of the binary constraints. The binary values for the decision variables are obtained from steps provided in algorithm. A numerical experience showing characteristics of this problem is presented. 
Stochastic Bus Dispatching Model untuk Optimalisasi Jumlah Bus Transjakarta Koridor 3 Zahedi Zahedi; Fredy Wijaya
ComTech: Computer, Mathematics and Engineering Applications Vol. 2 No. 2 (2011): ComTech
Publisher : Bina Nusantara University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.21512/comtech.v2i2.2925

Abstract

The increasing number of road user causing traffic jam finds out a way, busway. However, in its implementation, the number of fleet available does not enough to take the passengers. It results in the an amassed of passengers at several bus stops. This leads to passenger dissatisfaction satisfaction which eventually causes Transjakarta users to reuse private cars. Definitely this situation may builds up traffic jams. Stochastic Bus Dispatching Model is used to simulate public transportation that operates regularly. 
Model Integrasi Penjadwalan Produksi Batch dan Penjadwalan Perawatan dengan Kendala Due Date Zahedi .; TMA Ari Samadhi; Suprayogi .; Abdul Hakim Halim
Jurnal Teknik Industri Vol. 16 No. 2 (2014): DECEMBER 2014
Publisher : Institute of Research and Community Outreach - Petra Christian University

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (525.361 KB) | DOI: 10.9744/jti.16.2.73-82

Abstract

This paper discusses the integration model of batch production and preventive maintenance scheduling on a single machine producing an item to be delivered at a common due date. The machine is a deteriorating machine that requires preventive maintenance to ensure the availability of the machine at a desired service level. Decision variables of the model are the number of preventive maintenances, the schedule, length of production runs, as well as the number of batches, batch sizes and the production schedule of the resulting batches for each production run. The objective function of the model is to minimize the total cost consisting of inventory costs during parts processing, setup cost and cost of preventive maintenance. The results show three important points: First, the sequence of optimal batches always follows the SPT (short processing time). Second, variation of preventive maintenance unit cost does not influence the sequence of batches. Third, the first production run length from production starting time is smaller than the next production run length and this pattern continues until the due date. When in process inventory unit cost is increased, the pattern will continue until a specified cost limit, and beyond the limit the pattern will change to be the opposite pattern.
Kajian Metode Penalti Pada Optimisasi Linear Dengan Kendala Nonlinear Siddik, Fajar Erin; Nababan, Esther Sorta Mauli; Sawaluddin, Sawaluddin; Zahedi, Zahedi
MES: Journal of Mathematics Education and Science Vol 10, No 1 (2024): Edisi Oktober (Progress)
Publisher : Universitas Islam Sumatera Utara

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30743/mes.v10i1.9340

Abstract

This research aims to examine the penalty methods used in linear optimization. The main objective is to identify the advantages and disadvantages of each penalty method, as well as determine the specific context in which each method is most effective. This research belongs to the literature research type. The study is conducted on prepared cases to obtain the optimal result of each penalty method. Penalty methods and barrier methods are interrelated in optimization, especially in handling problems with constraints. The penalty method is used to start the solution search, while the barrier method is applied at the final stage to refine the solution. This is because the penalty method is able to provide an initial solution quickly, which can then be refined using the barrier method to better approach the constraint boundary.
Penerapan Metode Dynamic Programming dan Fuzzy Linear Programming Dalam Mengoptimasi Keuntungan serta Jumlah Produksi Padi   Simbolon, Haris Miller; Nasution, Putri Khairiah; Mardiningsih, Mardiningsih; Zahedi, Zahedi
Journal of Mathematics, Computations and Statistics Vol. 7 No. 2 (2024): Volume 07 Nomor 02 (Oktober 2024)
Publisher : Jurusan Matematika FMIPA UNM

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35580/jmathcos.v7i2.3263

Abstract

The Kebun Sayur Farmers Group, located in Sub-District Sidoarjo 2 Ramunia, Deli Serdang Regency, North Sumatra Province, is a group focused on rice production. Currently, Farmers groups are experiencing a lack of capital which results in limited resources. To overcome these challenges by optimizing inventory and production quantities so as to enable farmers to maximize their profits. Therefore, the methods used in this research are dynamic programming and fuzzy linear programming, with the application of these two methods can overcome existing problems.. The dynamic programming method increases the production of Ciherang rice by 3580 kg, Inpari 32 rice by 2430 kg, and Inpari 49 rice by 2130 kg, with an increase in production of Ciherang rice by 20.87%, Inpari 32 rice by 17.37%, and Inpari 49 rice by 14.76%, with a probability of profit of 8.33%. Using the fuzzy linear programming method, for a tolerance limit of 5%, the profit obtained is Rp 154.573.935,12 with a profit percentage of 4.89% and a λ-cut value of 0.488. If the tolerance limit is set to 10%, the profit obtained is Rp 156.888.371,28 with a profit percentage of 6.46% and a λ-cut value of 0.5