Linear Programming Model for the Design of Optimal Cropping Pattern for a Major Distributary Canal

2021 ◽  
pp. 57-67
Author(s):  
S. B. Ganesh Kumar ◽  
B. R. Ramesh ◽  
H. J. Surendra
Keyword(s):  
Linear Programming ◽  
Programming Model ◽  
Linear Programming Model ◽  
Cropping Pattern ◽  
Optimal Cropping Pattern ◽  
Optimal Cropping

scholarly journals PLANO ÓTIMO DE CULTIVO NO PROJETO DE IRRIGAÇÃO MORADA NOVA, CEARÁ, UTILIZANDO MODELO DE PROGRAMAÇÃO LINEAR

Irriga ◽  
2000 ◽  
Vol 5 (3) ◽  
pp. 167-187
Author(s):  
José Aurélio Lucena Rodrigues ◽  
Raimundo Nonato Távora Costa ◽  
José Antônio Frizzone ◽  
José Vanglésio de Aguiar
Keyword(s):  
Linear Programming ◽  
Water Supply ◽  
Programming Model ◽  
Linear Programming Model ◽  
Water Volume ◽  
Land Resource ◽  
Cropping Pattern ◽  
Irrigation Project ◽  
Optimal Cropping Pattern ◽  
Optimal Cropping

PLANO ÓTIMO DE CULTIVO NO PROJETO DE IRRIGAÇÃO  MORADA NOVA, CEARÁ, UTILIZANDO MODELO DE PROGRAMAÇÃO LINEAR  José Aurélio Lucena RodriguesDepartamento Nacional de Obras Contra as Secas – Av. Duque de Caxias.CEP 60000-000 – Fortaleza-CERaimundo Nonato Távora CostaUniversidade Federal do Ceará – Departamento de Engenharia Agrícola. Campus do Pici. Bloco 804.CEP 60455-760 – Fortaleza-CEJosé Antônio FrizzoneEscola Superior de Agricultura Luiz de Queiroz – Departamento de Engenharia Rural,  Av. Pádua Dias, 11 – Caixa Postal 11. 13418-900 – Piracicaba-SPJosé Vanglésio de AguiarUniversidade Federal do Ceará – Departamento de Engenharia Agrícola. Campus do Pici. Bloco 804.CEP 60455-760 – Fortaleza-CE  1 RESUMO O objetivo do trabalho foi desenvolver um modelo de programação linear para quantificar as variáveis do processo de produção, que otimizem a operação do Projeto de Irrigação Morada Nova (PIMN). O modelo procura estabelecer um plano ótimo de cultivo, objetivando a maximização da sua receita líquida anual. Na análise do modelo foram incorporadas as restrições de volume de água mensal, volume de água anual, terra, mercado. Com base nas culturas estudadas,  nas restrições de área cultivada, nos preços e nos custos de produção, os resultados permitiram as seguintes conclusões: 1) o modelo de programação linear recomendou os cultivos de 1050 ha de arroz semeado em fevereiro, 1050 ha de arroz semeado em agosto, 750 ha de feijão semeado em julho, 130 ha de milho (espiga) semeado em janeiro, 155 ha de banana e 112 ha de coco para um volume de água utilizado de 30.285.5460 m3;  2) modelo de otimização desenvolvido projetou uma receita líquida 19,06 % maior que a obtida com o  plano de cultivo do PIMN e um volume anual utilizado inferior em 47,3 %, considerando o ano agrícola de 1997; 3) a ocupação da terra foi baixa, com percentuais médios anuais de 41,4% e 40,3% respectivamente, para o modelo proposto e o plano de cultivo do PIMN; 4) a análise de sensibilidade do recurso terra apresentou preço sombra zero, indicando que esse recurso não foi restritivo; 5) mantendo-se o volume mensal disponível em 7.516.400 m3 e  9.730.700 m3 respectivamente, para os períodos de janeiro a junho e julho a dezembro, volumes anuais superiores a 30.285.560 m3 não contribuíram para o  aumento da  receita líquida do PIMN. UNITERMOS: Programação linear, padrão de cultivo, irrigação.  RODRIGUES, J. A .L., COSTA, R. N. T., FRIZZONE, J. A., AGUIAR, J. V. OPTIMAL CROPPING PATTERN IN THE “MORADA NOVA” IRRIGATION PROJECT USING LINEAR PROGRAMMING MODEL 2 ABSTRACT The main objective of this work was to develop a linear programming model, in order to quantify the process variables which optimize the irrigation project operation. The model establishes optimal cropping pattern in the irrigation project “Morada Nova” (MNIP), aiming to maximize the net annual income. Restrictions to the model were monthly water supply, anual water supply, land and market system. Based on the water-yield considered, cultivated land restrictions, production cost and product prices, the following conclusions were reached: 1) the model rresulted a optimal cropping pattern comprising 1050 ha  of  rice cultivated in February, 1050 ha of rice cultivated in August, 750  ha of beans (vigna) cultivated in July, 130 ha of corn (cob) cultivated in January, 155 ha of banana and 112 ha of cocunut, for a total annual utilized water of 30.285.560 m3; 2) the optimization model presented, estimated a net income of 19,06 % higher than  cropping pattern used in the MNIP, using an  annual water volume 47,3 % lower,  considering the agricultural year of 1997; 3)  the land occupation was low with annual average percentages of 41,4% e 40,3% respectively, to the presented model and the cropping pattern used in the MNIP; 4)  the sensibility analysis to the land resource revealed dual price zero, indicating that this recource was not restrictive; 5) maintaining the total monthly availability of 7.516.400 m3 and 9.730.700 m3 respectively, in the periods from January until June and from July  until December respectively, annual volumes higher than 30.285.560 m3, did not increase the  return of the MNIP. KEYWORDS: Linear programming, cropping pattern, irrigation.

scholarly journals Use of Linear Programming Model to Determine the Optimum Cropping Pattern for an Irrigation Scheme in Masvingo, Zimbabwe

2013 ◽  
Vol 1 (4) ◽  
pp. 450-452
Author(s):  
Majeke F ◽  
Mubvuma S M T ◽  
J. Chirima, K. Makaza ◽  
T. Hungwe R. Gwazan ◽  
Nyoni ◽  
...  
Keyword(s):  
Linear Programming ◽  
Optimization Problems ◽  
Programming Model ◽  
Optimal Solution ◽  
Linear Programming Model ◽  
No Production ◽  
Cropping Pattern ◽  
Irrigation Scheme ◽  
Irrigation Planning ◽  
Optimal Cropping

Agricultural systems are often faced by challenges such as crop selection and irrigation planning which can be formulated as optimization problems. Decisions have to be made on the proper set of crops to be cultivated and a proper irrigation scheme. The objectives of such decisions are to maximize net profit or to minimize water waste. In this study, a linear programming model was developed that helped to determine the optimal cropping pattern for an irrigation scheme in Masvingo, Zimbabwe. Crops which considered were wheat, sugar beans for winter and cotton and maize for summer for the 2012/13 agricultural season. The linear programming model was solved by using Microsoft Excel (2007). The model recommended no production of wheat and cotton. Sugar beans and maize gained acreage by 50 percent and 88 percent respectively. On the whole, the optimal cropped acreage did not change as compared to the existing cropping plan. As a result of the optimal solution, a farmer‘s income could be increased by $1,668.60. The optimal income increased from existing level of $1,919.40 to $3,588.00 showing an improvement of 87 percent. The results show that LP models solutions are worthy implementing.

Optimal crop planning using a chance constrained linear programming model

Water Policy ◽  
2011 ◽  
Vol 13 (5) ◽  
pp. 734-749 ◽  
Author(s):  
V. Jothiprakash ◽  
R. Arunkumar ◽  
A. Ashok Rajan
Keyword(s):  
Linear Programming ◽  
Probability Distribution ◽  
Programming Model ◽  
Linear Programming Model ◽  
Cropping Pattern ◽  
Net Benefit ◽  
Cropping Patterns ◽  
Time Period ◽  
Irrigation Intensity ◽  
Optimal Cropping

A monthly time-stepped chance constrained linear programming (CCLP) model was developed to derive optimal cropping patterns and optimal operational strategies for the Sri Ram Sagar Project, with stochastic inflows. The stochastic nature of the inflows was incorporated into the model in its equivalent deterministic form. These equivalent deterministic inflow values were estimated from the annual and monthly probability distribution of observed inflows, and named the chance constrained linear programming model-annual and chance constrained linear programming model-monthly, respectively. The models were solved for nine different dependable inflow levels, namely for 50, 55, 60, 65, 70, 75, 80, 85 and 90% in each CCLP. The results of the models were compared with respect to net benefit, irrigation intensity, total cropped area, optimal cropping pattern, optimal releases, evaporation loss and initial storages. Based on the results obtained, it can be concluded that, in CCLP optimization, the probability distribution of ‘model time period’ (t-month in this case) should be considered rather than the probability of ‘planning time period’ (year in this case).

scholarly journals Multi Crop Optimization Using Linear Programming Model for Maximum Net Benefit

2018 ◽  
Vol 7 (3.12) ◽  
pp. 797
Author(s):  
Shreedhar R
Keyword(s):  
Linear Programming ◽  
Water Resources ◽  
Water Availability ◽  
Programming Model ◽  
Optimization Techniques ◽  
Cropping Pattern ◽  
Economic Returns ◽  
Net Benefit ◽  
Use Of Resources ◽  
Optimal Cropping

The water used for agriculture is 70% globally. This has resulted in new methods of saving water. Hence water saving techniques has to be practiced.  In water resources planning and management, optimization techniques is used for limited use of resources such as such as water, land, production cost, manpower, fertilizers, seeds, and pesticides. For cultivating each crop, the land area needs to be planned properly. Hence the crop pattern has to be decided optimally depending on available water resources and on economic basis. Therefore farmer needs to be educated to adopt optimum cropping pattern which maximises the economic returns. Hence the study is taken up to optimize the allocation of land areas to crops. The objective function for multi crop model were formulated using linear programming for maximizing the net benefits. The study resulted in optimal cropping pattern for different water availabilities ranging from 2000 Ha-m to 5500 Ha-m. The maximum net benefit for the study area varied from Rs. 53.2 Crores for 2000 Ha-m water availability to Rs.78 Crores at 5000 Ha-m water availability.  

scholarly journals Optimum Cropping Pattern for Farmers of Bidar District, Karnataka.

2019 ◽  
Vol 9 (1) ◽  
pp. 4320-4326
Keyword(s):  
Linear Programming ◽  
Programming Model ◽  
Linear Programming Model ◽  
Farm Size ◽  
Cropping Pattern ◽  
Small Farmers ◽  
Optimal Solutions ◽  
Small Farmer ◽  
Net Returns ◽  
The Impact

In the present study optimal solutions were found for net farm returns using Linear Programming model on the sample farmers of Bidar District.The LINGO 17.0 package was used to get the solutions. The sample was of 120 small and large farmers collected from 15 villages from five Tehsils. From each village eight farmers comprising small and large farmers were selected. A total of EIGHT models were developed. They were classified as small farmers S1, S2, S3, S4 and large farmers L1, L2, L3, and L4. The results were compared with existing cropping pattern of small and large farmers. The model S1, small farmers with existing technology and restricted capital registered an increase of in net returns per hectare by 27%, S2 small farmer with existing technology and relaxed capital, returns increased by 34%, S3 small farmer with recommended technology and restricted capital, returns increased by 55%, S4 small farmer with recommended technology and relaxed capital, the returns increased by 65% per hectare. Similarly the net returns per hectare in case of large farmers L1, L2, L3, L4 increased by 47%, 65%, 49%, 76% respectively. The impact of credit on net farm returns in small farmers was Rs: 8322 and the same in large farmers was Rs: 615276. The impact of credit on employment was seen in large farmers in terms of tractor power which rose to 256% followed by man days labour which was increased to 224 percent. It was noted that credit played an important role in augmenting income of farmers; the credit required was directly related to farm size while credit on income inversely related to farm size

A Linear Programming Model for Product Mix Profit Maximization in A Small Medium Enterprise Company

2020 ◽  
Vol 6 (1) ◽  
Author(s):  
S Mohd Baki ◽  
Jack Kie Cheng
Keyword(s):  
Linear Programming ◽  
Production Planning ◽  
Business Performance ◽  
Programming Model ◽  
Profit Maximization ◽  
Optimal Level ◽  
Linear Programming Model ◽  
Product Mix ◽  
Small Medium Enterprises ◽  
Medium Enterprises

Production planning is often challenging for small medium enterprises (SMEs) company. Most of the SMEs are having difficulty in determining the optimal level of the production output which can affect their business performance. Product mix optimization is one of the main key for production planning. Many company have used linear programming model in determining the optimal combination of various products that need to be produced in order to maximize profit. Thus, this study aims for profit maximization of a SME company in Malaysia by using linear programming model. The purposes of this study are to identify the current process in the production line and to formulate a linear programming model that would suggest a viable product mix to ensure optimum profitability for the company. ABC Sdn Bhd is selected as a case study company for product mix profit maximization study. Some conclusive observations have been drawn and recommendations have been suggested. This study will provide the company and other companies, particularly in Malaysia, an exposure of linear programming method in making decisions to determine the maximum profit for different product mix.

Impact of Optimal Cropping Patterns on Incomes in a Punjab District

1976 ◽  
Vol 15 (2) ◽  
pp. 218-221
Author(s):  
M. Arshad Chaudhry
Keyword(s):  
Developing Countries ◽  
Linear Programming ◽  
Short Note ◽  
Cropping Pattern ◽  
Small Farms ◽  
Cropping Patterns ◽  
Punjab Province ◽  
Optimal Cropping

To improve farm incomes in developing countries, the foremost question that the farmer must address himself to is: what cropping pattern best uses the fixed resources in order to get the highest returns? During the last decade, the agricultural economists have shown great interest in applying the tools of linear programming to individual farms. Most of the studies conducted elsewhere have shown that, under existing cropping pattern, farm resources were not being utilized optimally on the small farms.[l, 4]. We conducted a survey in the canal-irrigated areas of the Punjab province of Pakistan1 to investigate into the same problem. This short note aims at identifying the opti¬mal cropping pattern and to estimate the increase in farm incomes as a result of a switch towards it on the sampled farms.

A Linear Programming Model to Evaluate Gas Availability for Vital Industries in Saudi Arabia

1992 ◽  
Vol 43 (11) ◽  
pp. 1035-1045
Author(s):  
S O Duffuaa ◽  
J A Al-Zayer ◽  
M A Al-Marhoun ◽  
M A Al-Saleh
Keyword(s):  
Saudi Arabia ◽  
Linear Programming ◽  
Programming Model ◽  
Linear Programming Model
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