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Relevant bibliographies by topics / VOGEL'S APPROXIMATION

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Academic literature on the topic 'VOGEL'S APPROXIMATION'

Author: Grafiati

Published: 11 September 2023

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Journal articles on the topic "VOGEL'S APPROXIMATION"

1

Yuliana, Yuliana, Tasari Tasari, Anita Setiyaningsih, Fika Aisyah Munif, and Miftacha Febriani Putri. "Optimalisasi Biaya Transportasi Produk UMKM Naturies Indonesia Dengan Metode Northwest Corner Dan Vogel’s Approximation." Jurnal Derivat: Jurnal Matematika dan Pendidikan Matematika 9, no. 2 (2022): 246–57. http://dx.doi.org/10.31316/jderivat.v9i2.3138.

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Naturies Indonesia is one of the UMKM for spice drinks in Macanan, Klaten, Central Java which is developing. As one of the growing UMKM, Naturies Indonesia is experiencing problems related to the distribution of its products. Naturies Indonesia has incurred transportation costs of Rp.442,100.00 per week in distributing its products to 5 distributors (Kudus, Jakarta, Shopee, Bandung, and offline). Due to human resource constraints, Naturies Indonesia does not yet have a thorough plan to reduce shipping costs in allocating products from production sites to customers or distributors. Through this applied research, this research aims to find the optimization of product delivery costs. Data were collected through interviews and documentation, then analyzed using the Northwest Corner and Vogel's Approximation methods. Analysis using the Northwest Corner method found a shipping cost of IDR 431,600.00, while the Vogel's Approximation method found a shipping cost of IDR 427,900.00. The shipping costs found were actually lower than the financing that had been issued so far. Keyword: northwest cor, spice drinks, optimization of transportation, UMKM Naturies Indonesia, vogel’s approximation

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2

Syam, Rahmat, S. Sukarna, and Muh Nahdi Alim Asyhari. "Model Transportasi dan Terapannya dalam Optimalisasi Biaya Distribusi Beras Miskin di Kota Makassar oleh Perum Bulog Sub Divre Makassar Tahun 2016." Journal of Mathematics, Computations, and Statistics 2, no. 2 (2020): 126. http://dx.doi.org/10.35580/jmathcos.v2i2.12575.

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Penelitian ini membahas tentang model transportasi dan terapannya pada distribusi Beras Miskin (Raskin) di Kota Makassar oleh Perum Bulog Sub Divre Makassar. Data distribusi Raskin di Kota Makassar tahun 2016 diformulasikan dengan Model Transportasi. Berdasarkan model tersebut diperoleh keseimbangan model, dan tabel transportasi distribusi Raskin,. Dengan Metode Least Cost (LC) dan Vogel’s Approximation Method (VAM) diperoleh solusi awal yang fisibel. Berdasarkan perhitungan solusi awal yang fisibel diperoleh solusi optimum menggunakan Metode Batu Loncatan (Stepping Stone Method). Selanjutnya disimulasikan menggunakan aplikasi Pom for Windows. Hasil penelitian ini menunjukkan bahwa dengan penerapan Model Transportasi terjadi penghematan biaya distribusi raskin di kota Makassar tahun 2016 sebesar 1,7% dibandingkan hasil perhitungan Perum Bulog Sub Divre Makassar.Kata Kunci: Model Transportasi, Least Cost (LC), Vogel’s Approximation Method (VAM), Metode Batu Loncatan, Distribusi Raskin, This study discusses the transportation model and its application on the stock of Rice Poor (Raskin) in Makassar City by Perum Bulog Sub Divre Makassar. Data is processed by Transport Model. Based on the model is generated a balance model, and export table Raskin distribution,. By method. (LC) and Vogel's Approximation Method (VAM) obtained a feasible initial solution. The method using the stepping stone method (Stepping Stone method). It is then simulated using the Pom for Windows application. The results of this study indicate with the application of Transportation Model. In the year. Year 2016 amounted to 1.7% of the calculation of Perum Bulog Sub Divre Makassar.Keywords: Transportation Model, Least Cost (LC), Vogel’s Approximation Method (VAM), Stepping Stone Method, Distribution Raskin.

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3

Korukoğlu, Serdar, and Serkan Ballı. "An Improved Vogel's Approximation Method for the Transportation Problem." Mathematical and Computational Applications 16, no. 2 (2011): 370–81. http://dx.doi.org/10.3390/mca16020370.

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Determining efficient solutions for large scale transportation problems is an important task in operations research. In this study, Vogel’s Approximation Method (VAM) which is one of well-known transportation methods in the literature was investigated to obtain more efficient initial solutions. A variant of VAM was proposed by using total opportunity cost and regarding alternative allocation costs. Computational experiments were carried out to evaluate VAM and improved version of VAM (IVAM). It was seen that IVAM conspicuously obtains more efficient initial solutions for large scale transportation problems. Performance of IVAM over VAM was discussed in terms of iteration numbers and CPU times required to reach the optimal solutions.

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4

MATHIRAJAN, M., and B. MEENAKSHI. "EXPERIMENTAL ANALYSIS OF SOME VARIANTS OF VOGEL'S APPROXIMATION METHOD." Asia-Pacific Journal of Operational Research 21, no. 04 (2004): 447–62. http://dx.doi.org/10.1142/s0217595904000333.

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This paper presents a variant of Vogel's approximation method (VAM) for transportation problems. The importance of determining efficient solutions for large sized transportation problems is borne out by many practical problems in industries, the military, etc. With this motivation, a few variants of VAM incorporating the total opportunity cost (TOC) concept were investigated to obtain fast and efficient solutions. Computational experiments were carried out to evaluate these variants of VAM. The quality of solutions indicates that the basic version of the VAM coupled with total opportunity cost (called the VAM–TOC) yields a very efficient initial solution. In these experiments, on an average, about 20% of the time the VAM–TOC approach yielded the optimal solution and about 80% of the time it yielded a solution very close to optimal (0.5% loss of optimality). The CPU time required for the problem instances tested was very small (on an average, less than 10 s on a 200 MHz Pentium machine with 64 MB RAM).

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5

Balakrishnan, Nagraj. "Modified Vogel's approximation method for the unbalanced transportation problem." Applied Mathematics Letters 3, no. 2 (1990): 9–11. http://dx.doi.org/10.1016/0893-9659(90)90003-t.

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6

Sugianto, Welly, and Elva Susanti. "Optimasi OPTIMASI BIAYA TRANSPORTASI PADA UKM DI KOTA BATAM." Inaque : Journal of Industrial and Quality Engineering 9, no. 1 (2021): 1–19. http://dx.doi.org/10.34010/iqe.v9i1.4278.

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This research was conducted at UKM Jovelyn in Batam city. Jovelyn's UKM produces various kinds of cakes and is marketed in markets in Batam City. The UKM opened 4 branches and marketed its products to 7 markets in the city of Batam. Product distribution is still random and not properly regulated. This resulted in a very large transportation cost, up to 1/3 of the total production cost. This shows that product transportation is still not carried out effectively and efficiently. The transportation problem is converted into a mathematical form so that the problem can be solved by the transportation method. The transportation method aims to minimize the objective function which is a function of transportation costs. The transportation method is basically the same as the linear program where at each iteration a selection is made to enter the basic variabel and leave the basic variabel. There are several iteration methods, namely the northwest corner method, minimum cost method, genetic algorithm, Vogel's approximation method, minimum row method, Russell's approximation method and column minimum method. Previous research has shown that the Vogel's approximation method, and Russell's approximation method are more efficient and accurate. This study uses both methods and a sensitivity analysis is performed to optimize the calculation results. The sensitivity analysis aims to determine the extent to which the objective function constants and the constraint function constants can change Keywords: Transportation, Sensitivity, SME

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7

Maheswari V., V. Balaji, Amulu Priya S. ,. "New Vogel’s Approximation Method (NVAM) to Determine Better Feasible Solution of Transportation Problem." Mathematical Statistician and Engineering Applications 71, no. 3 (2022): 1385–97. http://dx.doi.org/10.17762/msea.v71i3.493.

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Nowadays, getting substantial results for problems in operations research is crucial. The transportation problem can be solved very effectively with Vogel's Approximation Method (VAM) and discover a workable solution that is closer to the ideal solution. The basic principle of VAM is to allocate as many resources as possible to the cell with the smallest cost in the column or row with the greatest penalty. This cell will receive the maximum number of resources. A problem arises when the magnitudes of the least cost and the next-least cost are identical. Then, we devised a new method called the "New Vogel's Approximation Method (NVAM)" to provide a workable solution to the transportation problem that may then be used to determine the optimal solution. Transporting capacity to the required location is done by three distinct companies. The supply chain's participants seek to move their goods from warehouse to distribution centre, from plant to warehouse, and from distribution centre to retail store. In this study, the VAM method and the NVAM approach are used to determine the optimal transportation cost. These techniques are examined to provide potential supply chain management techniques.

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8

Sahito, Sabeen. "Modification of Vogel's Approximation Method for Optimality of Transportation Problem by Statistical Technique." Quaid-e-Awam University Research Journal of Engineering, Science & Technology 19, no. 2 (2021): 42–48. http://dx.doi.org/10.52584/qrj.1902.07.

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This paper addresses the Optimality of Transportation Problems (TP). The modification in Vogel’s Approximation Method for optimality of transportation problem by statistical technique (MVOTPST) is proposed, which provides the better feasible solution in comparison to the existing methods such as North West Corner Method (NWCM), Least Cost Method (LCM) and Vogel’s Approximation Method (VAM). Various examples have been examined from the literature to validate the authenticity and optimality of the proposed MVOTPST method. Furthermore, the Initial Basic Feasible Solution (IBFS) of the modified technique has been found either absolutely optimal, close to optimal, same as VAM, or better than the existing methods.

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9

Çakmak, Tanyel, and Filiz Ersöz. "METHODOLOGY RECOMMENDATION FOR ONE‐CRITERION TRANSPORTATION PROBLEMS: CAKMAK METHOD." TRANSPORT 22, no. 3 (2007): 221–24. http://dx.doi.org/10.3846/16484142.2007.9638128.

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Transportation problems (TP) are one of the most prominent fields of application of the mathematical disciplines to optimization and operations research. In general, there are three starting basic feasible solution methods: Northwest Corner, Least Cost Method, VAM – Vogel's Approximation Method. The three methods differ in the quality of the starting basic solution. In this study, we actually show a new method for starting basic feasible solution to one‐criterion‐transportation problems: Çakmak Method. This method can be used for balanced or unbalanced one-criterion transportation problems, and gives the basic feasible optimum solution accordingly.

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10

Gujjula, Rico, Sebastian Werk, and Hans-Otto Günther. "A heuristic based on Vogel's approximation method for sequencing mixed-model assembly lines." International Journal of Production Research 49, no. 21 (2011): 6451–68. http://dx.doi.org/10.1080/00207543.2010.527384.

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