A comparative study on optimization methods for the constrained nonlinear programming problems

Yeniay, Özgür

doi:10.1155/mpe.2005.165

Cited by 54 publications

(24 citation statements)

References 18 publications

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“…Thus, if a solution set violates any of the implicit bound constraints, a penalty is applied to its fitness value thus degrading the quality of an infeasible solution. Penalty function methods are the most popular methods used for constrained optimization problems using a GA [14]. These methods transform a constrained problem into an unconstrained problem by imposing a penalty on the infeasible solution.…”

Section: Penalty Functionsmentioning

confidence: 99%

Optimal TMDL Allocations: Incorporating Costs into TMDL Calculations for Complex Urban Watersheds

Tufail¹,

Ormsbee²,

Wre³

2007

proc water environ fed

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This paper will highlight the importance of economic considerations in the determination of load allocation leading to the development of a TMDL for a highly complex urban watershed impaired by point sources (CSOs and SSOs), non-point sources (urban runoff), and other unknown suspected sources of pollution. Developing a TMDL for such a complex urban watershed requires the use of a variety of computer-based hydrologic, hydraulic, and water quality models. These simulation models are used to perform load allocations leading to the development of a TMDL. The goal in most cases is to select a strategy (solution) that meets target water quality objectives as mandated by the current EPA guidelines for TMDL development. However, there often exists multiple feasible solutions for which the cost differential is significant and there is a need to select the optimal strategy that satisfies water quality objectives and at the same time is the most cost effective. For such cases where multiple feasible scenarios need evaluation, the use of simulation models alone can be cumbersome, time consuming, and cost prohibitive. In such situations, an optimization model coupled with simulation model(s) can be used to identify optimal solutions. The work described in this paper will present a case study for Beargrass Creek watershed in Louisville, Kentucky, in which an optimal management model is developed for the complex watershed leading to effective management strategies for water quality control. Such an optimal management model can be used to develop a TMDL for the watershed and can also be useful for prioritizing and phasing capital improvement projects.

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Section: Penalty Functionsmentioning

confidence: 99%

Optimal TMDL Allocations: Incorporating Costs into TMDL Calculations for Complex Urban Watersheds

Tufail¹,

Ormsbee²,

Wre³

2007

proc water environ fed

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show abstract

“…The related algorithms are classified into two classes of definite and probable forms [1]. Definite algorithms are local searching methods based on gradient which needs basic movement information for finding possible solutions [2].…”

Section: Introductionmentioning

confidence: 99%

Developing New Algorithm (G-JPSO) for Optimal Control of Pumps in Water Distribution Networks

2018

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Abstract:Meta-heuristic methods have been widely used for solving complex problems recently. Among these methods, JPSO is regarded as a promising algorithm. However, in order to achieve more robust performance, the probability to solve the graph-based problems is modified by changing the jumping nature of this algorithm and a new algorithm called G-JPSO is presented which is evaluated by solving Fletcher-Powell function and optimal control of pumps in water distribution network problems. In addition to reduction of electricity cost and the problem limitations such as minimum required pressure in each node, minimum and maximum height of tanks, should also be considered. Moreover, another limitation was performed on the objective function which includes the maximum times of turning the pumps on and off. In order to determine the pumps optimal operation, an optimization-simulation model based on the optimization algorithms G-JPSO and JPSO is developed. This proposed model is used for determination of optimal operation program of Van Zyl distribution network. The comparison carried out between the results of our proposed algorithm and those of the similar algorithms including ant colony, genetic and JPSO shows the high ability of the presented algorithm in finding solutions near the optimal solutions with reasonable computation costs.

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“…The GRG algorithm transforms inequality constraints into equality constraints by introducing slack variables. It is a very reliable and robust algorithm [15][16][17][18][19][20].…”

Section: Introductionmentioning

confidence: 99%

Cost optimum design of doubly reinforced high strength concrete T-beams

Fedghouche

2017

Scientia Iranica

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A comparative study on optimization methods for the constrained nonlinear programming problems

Cited by 54 publications

References 18 publications

Optimal TMDL Allocations: Incorporating Costs into TMDL Calculations for Complex Urban Watersheds

Optimal TMDL Allocations: Incorporating Costs into TMDL Calculations for Complex Urban Watersheds

Developing New Algorithm (G-JPSO) for Optimal Control of Pumps in Water Distribution Networks

Cost optimum design of doubly reinforced high strength concrete T-beams

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