A Two-Step Infinite α-Cuts Fuzzy Linear Programming Method in Determination of Optimal Allocation Strategies in Agricultural Irrigation Systems

2008 ◽  
Vol 23 (11) ◽  
pp. 2249-2269 ◽  
Author(s):  
H. W. Lu ◽  
G. H. Huang ◽  
Y. P. Lin ◽  
L. He
2019 ◽  
Vol 6 (04) ◽  
Author(s):  
ASHUTOSH UPADHYAYA

A study was undertaken in Bhagwanpur distributary of Vaishali Branch Canal in Gandak Canal Command Area, Bihar to optimally allocate land area under different crops (rice and maize in kharif, wheat, lentil, potato in rabi and green gram in summer) in such a manner that maximizes net return, maximizes crop production and minimizes labour requirement employing simplex linear programming method and Multi-Objective Fuzzy Linear Programming (MOFLP) method. Maximum net return, maximum agricultural production, and minimum labour required under defined constraints (including 10% affinity level of farmers to rice and wheat crops) as obtained employing Simplex method were ` 3.7 × 108, 5.06 × 107 Kg and 66,092 man-days, respectively, whereas Multi-Objective Fuzzy Linear Programming (MOFLP) method yielded compromised solution with net return, crop production and labour required as ` 2.4 × 108, 3.3 × 107Kg and 1,79,313 man-days, respectively. As the affinity level of farmers to rice and wheat crops increased from 10% to 40%, maximum net return and maximum production as obtained from simplex linear programming method and MOFLP followed a decreasing trend and minimum labour required followed an increasing trend. MOFLP may be considered as one of the best capable ways of providing a compromised solution, which can fulfill all the objectives at a time.


Symmetry ◽  
2021 ◽  
Vol 13 (3) ◽  
pp. 483
Author(s):  
Svetla Stoilova ◽  
Nolberto Munier

To increase the level of adequacy in multi-criteria decision-making in the case of uncertainty, it is essential to reduce the subjectivism and to increase the reality of obtained results. The study aims to propose a novel fuzzy multi-criteria method based on the fuzzy linear programming method and sequential interactive model for urban systems method (SIMUS), named fuzzy SIMUS. This paper is something completely different because it links the power of fuzzy with the advantage of the SIMUS method. Indeed, not using weights, it works with optimal values. Here, this procedure is presented for the first time. The methodology consists of three stages. The first stage includes forming the parameters of a multi-criteria model in the case of uncertainty. The initial matrix has three values: lower, medium, and upper. In the second stage, the fuzzy SIMUS model for each objective is formed based on fuzzy linear programming method. The third stage deals with the ranking of the alternatives. The methodology was experimented for planning railway intercity passenger transport in Bulgarian’s railway network. Nine alternative transport plans and eight criteria were studied. It was found that the objectives which influence ranking the most are the frequency of train stops (15%), direct operational costs (15%), train’s capacity (14.7%), and reliability (14.3%). A transport plan for railway passenger transport is proposed. A verification of the results was performed. It was found that the stability of the choice presented a suitable alternative.


Author(s):  
Haixuan Wang ◽  
Chong Ye ◽  
Anil Sharma

Background: To study the application of the mathematical programming method in agricultural machinery operation optimal allocation and scale management, this paper adopts the non-linear programming method to establish the relevant mathematical model. Methodology: This paper investigates the crop planting area, mechanization level, and agronomic direction requirements, production situation and technological process of corn planting mode. Results: The structure of agricultural machinery equipment is relatively reasonable, and the production efficiency is high. In the whole process of corn production, 11.195 million yuan of maize production value was optimized. The proper harvest time of corn was 5 days, the planting time of wheat was 26 days, and the harvest time of wheat was 10 days. Conclusion: The optimal allocation quantity of agricultural machinery system is calculated by lingo software, and the mathematical model is established by non-linear programming method, which can prove to be time and cost-effective.


2017 ◽  
Vol 12 (1) ◽  
pp. 45
Author(s):  
Eygner Talakua

Keterbatasan faktor produksi seperti bibit, modal, dan tenaga kerja dalam menjalankan usahabudi daya rumput laut berdampak pada keuntungan yang akan diperoleh. Kondisi ini menuntut pemilikusaha budi daya rumput laut di Desa Sathean harus mampu mengelola usahanya dengan baik, terkaitpenentuan jumlah faktor produksi yang sifatnya terbatas untuk memperoleh keuntungan usaha yangmaksimal. Untuk itu tujuan penelitian ini adalah menganalisis alokasi faktor produksi yang optimaldan mengkaji keuntungan maksimum yang dapat diperoleh pada usaha budi daya rumput laut diDesa Sathean Kecamatan Kei Kecil. Data primer dikumpulkan dari 15 responden melalui wawancarasecara langsung dengan kuesioner dan pengamatan secara langsung terhadap obyek yang diteliti.Data dianalisis menggunakan metode pemrograman linier (linear programming) dan hasil dianalisissecara deskriptif kuantitatif. Hasil penelitian menunjukkan bahwa alokasi faktor produksi yang optimaluntuk tiap kegiatan produksi budi daya rumput laut adalah penggunaan luas area budi daya seluas7.058 m2 atau 0,7058 ha, penggunaan modal kerja sebesar Rp.891.907,1 penggunaan bibit sebanyak157,47 kg, dan penggunaan tenaga kerja sebanyak 1.403 HOK, sehingga dapat memaksimalkankeuntungan yang dapat diperoleh usaha budi daya rumput laut di Desa Sathean Kecamatan Kei Kecilsebesar Rp.5.010.716,- tiap kegiatan produksi budi daya rumput laut.Title: Optimizing Production Factors to Profit Maximize of Seaweed Cultivation in the Sathean Village of Kei Kecil SubdistrictLimitations of production factors such as seeds, capital, and labor in carrying seaweed cultivationimpact on profits to be earned. These conditions require the owner of seaweed cultivation in the SatheanVillage should be able to manage their business well, related to the determination of the amount ofproduction factors that are limited to gain maximum business. For the purpose of this study is to analyzethe optimal allocation of production factors and assess the maximum profit that can be obtained onseaweed cultivation in the Sathean Village of Kei Kecil Subistrict. Primary data was collected from 15respondents through direct interviews with questionnaires and direct observation of the object studied.Data were analyzed using linear programming method and the results were analyzed descriptivelyquantitative. The results showed that the optimal allocation of factors of production for each productionactivity of seaweed cultivation is the use of the area cultivated an area of 7,058 m2 or 0.7058 ha, the useof working capital of 891.907.1 IDR use as much as 157.47 kg of seeds, and the use of labor as many as1,403 HOK, so as to maximize the benefits that can be obtained seaweed cultivation in the village of KeiKecil Sathean District of 5,010,716 IDR,- per activity seaweed cultivation production.


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