American J. of Engineering and Applied Sciences 2 (1): 133-138, 2009
ISSN 1941-7020
© 2009 Science Publications
Corresponding Author: Anongrit Kangrang, Faculty of Engineering, Mahasarakham University, Kantharawichai,
Maha sarakham, 44150, Thailand Tel: +66-43-754316 Fax: +66-43-754316
133
A Varied-Utilized Soil Type in Linear Programming Model for Irrigation Planning
Ounla Sivanpheng, Anongrit Kangrang and Alongkorn Lamom
Faculty of Engineering, Mahasarakham University, Maha sarakham, Thailand
Abstract: Problem statement: Optimal crop pattern with maximum profit is important information
for irrigation planning using optimization model. Crop yield, crop water requirement, man power,
production cost and physical soil type are required to the search model. A consideration varied-utilized
soil type directly influences to the profit of obtained crop pattern. Approach: The objective of this
study is to find an optimal crop pattern for irrigation planning in a varied-utilized area of the Van
Vieng Phi irrigation project, Khammouan province, Central Region of Lao PDR. An allocation Linear
Programming (LP) model was applied to find the optimal crop pattern in dry-season (November-
April). The considered irrigation project was divided into several sub-areas, based on suitable soil type
of each crop representing the varied-utilized character. The existing suitable soil type of each crop was
used to represent the varied-utilized in term of water requirement and crop yield for each sub-area. The
records of seasonal flow from pump station, requested and actual implementation of irrigation area,
crop water requirements, evaporation, percolation and effective rainfall were used for this illustrative
application. Results: The results have shown that the net benefit of varied-utilized character and
unvaried-utilized character (existing consideration) were obvious difference. The obtained crop pattern
of the proposed model corresponded to the suitable soil type for cultivation crops. Furthermore, the
results presented that the proposed model gave higher net benefit than the existing unvaried-utilized
character. Conclusions/Recommendations: The consideration several sub-areas of irrigation project
based on suitable soil type in LP model can be represented the varied-utilized character. The proposed
LP model is appropriately for finding the optimal crop pattern for irrigation planning.
Key words: Optimization model, linear programming, irrigation planning, crop pattern
INTRODUCTION
An allocation of limited available resources is one
of the classical problems in water resources
management. In particular, given the total available
resources for example water, soil, land area and
manpower, one would like to know what proportion of
the available resources should be given to each
considered crop in an irrigation project in order to
maximize the total profit of agricultural activities. With
optimization techniques available; such as Linear
Programming (LP), Dynamic Programming (DP) and
Genetic Algorithm (GA), it is LP model that is more
popular because of the proportionate characteristic of
the allocation problems. The formulation of the LP
model to the problems usually assumes that crop water
requirement and crop yield of all soil types in the
considered project be homogeneous value for all
seasons. Unfortunately, the assumption often leads to
serious error in the optimal solution of the crop pattern.
In Lao PDR, improving performance of irrigation
planning for an operation and maintenance project is an
obvious issue for agricultural development and water
resources management. The Vang Vieng Phi Irrigation
scheme is a Pump Irrigation System, which located in
Se Bangfai district about 45 Kilometers south of
Thakhek, Khammouan province. The irrigation scheme
is designed for an irrigation service area of 1,086
hectares during the wet season and 1,070 hectares
during the dry season. Record of irrigated area from
2000-2007 presented that the scheme had been
irrigating an average of 229.55 hectares during the dry
season or a 21.45% of the dry season design area. The
highest dry season irrigated area is recorded in crop
year 2006-2007--359.74 hectares or 33.62% and the
lowest in 2004-2005--121.79 hectares or 11.38%. The
record shows that the dry season irrigated area had been
increasing from crop year 2000-2001 to 2002-2003 but
this started decreasing from then to 2003-2004 and
increased again from crop year 2005-2006 to 2006-