A linear program model for point-nonpoint source control decisions: Theoretical development

Jenq, Tzay-Rong; Uchrin, Christopher G.; Granstrom, Marvin L.; Hsueh, Shing-Fu

doi:10.1016/0304-3800(83)90042-x

Cited by 6 publications

(7 citation statements)

References 5 publications

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“…The linear programming algorithm was ultimately formulated in such a manner to utilize IBMs software package MPS/ 360 and is described in detail in Jenq, et al (1983). The linear programming model was run for five cases which attempted to bracket existing and future conditions.…”

Section: Resultsmentioning

confidence: 99%

“…The resultant cost per hectare versus percent removal relationship is displayed in Figure 5. Each cost function was segmented into linear pieces of separable linear functions using the Delta Method (Jenq, et al, 1983) for use in Equation (1). The total annual costs estimated for point and nonpoint source control were adjusted to December 1978 dollars.…”

Section: Linear Cost Function Formulationsmentioning

confidence: 99%

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A Phosphorus Management Lp Model Case Study1

Jenq

Granstrom

Hsueh

et al. 1984

J American Water Resour Assoc

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A linear programming model to assess the cost‐effectiveness of appropriate point and nonpoint phosphorus control measures was constructed for Carnegie Lake, an eutrophic lake located in Mercer County, New Jersey. The resultant model was tested for present and future conditions. Feasible solutions were obtained only after significant relaxation of receiving water quality standards. The high levels of point source treatment required to meet the in‐stream water quality standards and the mesotrophic loading conditions suggest that a source control solution may not be feasible.

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Section: Resultsmentioning

confidence: 99%

Section: Linear Cost Function Formulationsmentioning

confidence: 99%

A Phosphorus Management Lp Model Case Study1

Jenq

Granstrom

Hsueh

et al. 1984

J American Water Resour Assoc

Self Cite

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“…Mays and Bedient (1982) developed a dynamic program for locating and sizing ponds for dendritic detention systems with drainage channels connecting detention basins. Jenq et al (1983) used a linear program to analyze nonpoint source pollution reduction following the type of analysis performed by ReVelle et al (1968). In their analysis, Jenq et al (1983) lumped nonpoint source pollutant generating areas and treated the discharge from these areas as point sources of pollution to a stream.…”

Section: Introductionmentioning

confidence: 99%

Classic Optimization Techniques Applied to Stormwater and Nonpoint Source Pollution Management at the Watershed Scale

Limbrunner

Vogel

Chapra

et al. 2013

J. Water Resour. Plann. Manage.

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Linear and dynamic programming formulations are introduced for optimizing the placement of distributed best management practices (BMPs) at the watershed scale. The results of linear programming optimization of infiltration-based stormwater management BMPs are compared with the results of genetic algorithm (GA)optimization using a nonlinear distributed model. Additionally, linear and dynamic programming optimization of sediment-trapping BMPs are compared with GA optimization using a nonlinear distributed model. The results indicate that the solution to stormwater peak-flow reduction is influenced primarily by distributed-flow arrival time, and a linear programming analog to a nonlinear optimization model can efficiently reproduce much of the same solution structure. Linear and dynamic programming solutions to the storm sediment-management problem indicate natural sediment trapping is an important consideration, and a solution to the sediment-management-optimization problem can be efficiently found using a dynamic programming formulation.

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“…Compared with the recent advanced inter-watershed management models cited above, the intrawatershed management models which have been presented seem primitive. Jenq et al (1983) employed the linear programing for the problem of meeting the T-P standard of a receiving water of a lake at minimum cost. Both PSs and NPSs were taken into account, but no-use of GIS (geographic information system) made it difficult to apply the model to a real lake watershed.…”

Section: Introductionmentioning

confidence: 99%

Fuzzy optimization model for integrated management of total nitrogen loads from distributed point and nonpoint sources in watershed

Maeda

Kawachi

Unami

et al. 2009

Paddy Water Environ

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A fuzzy optimization model is developed to allocate allowable total nitrogen (T-N) loads to distributed nonpoint sources (NPSs) and point sources (PSs) in a watershed for river water quality management using the linear programing technique. The watershed is divided into uniform grid cells on which T-N loads issuing from NPSs such as paddy fields, upland crop fields and cities are controlled. A geographic information system integrated with the digital elevation model facilitates computation of route lengths of surface and subsurface flows from cells to a river running through the watershed. The T-N loads discharged from their sources are assumed to decay, subject to distance-related first-order kinetics. As management goals, maximizations of total allowable NPS loads, total allowable PS loads and total yield of rice are considered from environmental and economic viewpoints. A prime constraint is an effluent limitation standard for the aggregate amount of loads that arrive at the downstream end of the river. The fuzzy sets theory helps appropriately describe vague attitudes of decision-makers (i.e., stakeholders and management authorities) in terms of constraints and conflicting goals. An application of the fuzzy optimization model, developed as an improvement over our last nonfuzzy model, to a real watershed in Shiga prefecture, Japan, demonstrates that the fuzzy model embodies our last model, and is capable of creating management alternatives for T-N load allocation in a more practical and flexible manner.

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A linear program model for point-nonpoint source control decisions: Theoretical development

Cited by 6 publications

References 5 publications

A Phosphorus Management Lp Model Case Study1

A Phosphorus Management Lp Model Case Study1

Classic Optimization Techniques Applied to Stormwater and Nonpoint Source Pollution Management at the Watershed Scale

Fuzzy optimization model for integrated management of total nitrogen loads from distributed point and nonpoint sources in watershed

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