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        A Possibility Approach to Solve Fuzzy Fixed Charge Transportation Problem

        Tlig, Houssine,Benhamed, Adel,Rebai, Abdelwaheb Korean Institute of Industrial Engineers 2017 Industrial Engineeering & Management Systems Vol.16 No.4

        This paper studies the fixed charge transportation problem under uncertain environment, in which the capacities of sources, the direct costs, the fixed charges and the demands of destinations are not known with a precise manner. As a result, the transportation problem takes the form of fuzzy mixed-integer programming problem. In this paper, we propose a solution method based on the possibility approach. With this approach, the obtained transportation problem takes the form of a crisp mixed-integer linear programming problem and provides crisp values to different variables at different possibility levels. A numerical example with trapezoidal fuzzy parameters is given to demonstrate the effectiveness of the proposed method.

      • KCI등재

        A Possibility Approach to Solve Fuzzy Fixed Charge Transportation Problem

        Houssine Tlig,Adel Benhamed,Abdelwaheb Rebai 대한산업공학회 2017 Industrial Engineeering & Management Systems Vol.16 No.4

        This paper studies the fixed charge transportation problem under uncertain environment, in which the capacities of sources, the direct costs, the fixed charges and the demands of destinations are not known with a precise manner. As a result, the transportation problem takes the form of fuzzy mixed-integer programming problem. In this paper, we propose a solution method based on the possibility approach. With this approach, the obtained transportation problem takes the form of a crisp mixed-integer linear programming problem and provides crisp values to different variables at different possibility levels. A numerical example with trapezoidal fuzzy parameters is given to demonstrate the effectiveness of the proposed method.

      • Hardware 강에 대한 박테리아 오염총량관리 개발

        김상민 ( Kim Sang Min ),브라이언벤헴 ( Benham Brian ),케빈브레넨 ( Brannan Kevin ),마리아볼 ( Ball Maria ) 한국농공학회 2008 한국농공학회 학술대회초록집 Vol.2008 No.-

        The objective of this study is to develop the Bacteria Total Maximum Daily Load (TMDL) for Hardware River in Virginia, which have a bacteria impairment. A significant bacteria load comes from cattle and wildlife directly depositing feces in streams. The Hydrological Simulation Program - FORTRAN (HSPF) was used to simulate the fate and transport of fecal coliform bacteria in the Hardware River watersheds. The hydrology and water quality component of the HSPF model was calibrated and validated for Hardware River at a monitoring station near the watershed outlet. A comparison of simulated and observed fecal coliform loadings in the stream indicated that the model adequately simulated the fate and transport of fecal coliform bacteria. Different source reduction scenarios were evaluated to identify scenarios that meet both the calendar-month geometric mean E. coli criterion (126 cfu/100 mL) and the single sample maximum E. coli criterion (235 cfu/100 mL) with zero violations.

      • SCISCIESCOPUS

        Modeling and assessing the impact of reclaimed wastewater irrigation on the nutrient loads from an agricultural watershed containing rice paddy fields

        Kim, Sang Min,Park, Seung Woo,Lee, Jeong Jae,Benham, Brian L.,Kim, Hak Kwan Taylor Francis 2007 Journal of Environmental Science and Health. Part Vol.42 No.3

        <P> Two models were used in concert to predict nutrient loads in a waterbody receiving irrigation return flows from a rice paddy production system. Two irrigation scenarios were simulated, one using reclaimed wastewater as the irrigation water source, the other using water from a surface reservoir designed to supply irrigation water. Total nitrogen (TN) and total phosphorus (TP) loads in irrigation return flows from the rice paddy fields were simulated using the field-scale water quality model Chemical, Runoff and Erosion from Agricultural Management System model for rice paddy fields (CREAMS-PADDY). The output from CREAMS-PADDY was then used as input data for Hydrological Simulation Program-FORTRAN (HSPF) model. HSPF was used to evaluate TN and TP loads in the receiving waterbody at the watershed-scale. CREAMS-PADDY and HSPF were calibrated for both hydrology and water quality using observed data. Both CREAMS-PADDY and HSPF showed good agreement between the observed and simulated data during the calibration and validation periods. Simulation indicated that TN and TP loads from the study paddy fields increased by 207% and 1022% when reclaimed wastewater was used for irrigation compared to conventional irrigation. Irrigating paddy fields (18.8% of the 385 ha study watershed) with reclaimed wastewater increased the TN load at the watershed outlet by 10.3% and TP by 14.0%. The increase in nutrient loads was the result of the high nutrient concentration in the reclaimed wastewater. The procedures used in this research can be used to develop wastewater reuse strategies that minimize environmental impacts on watershed water quality.</P>

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