A Content-Based Active-Set Method for Pressure-Dependent Models of Water Distribution Systems with Flow Controls

Abstract

In this paper a new method is proposed that solves for the steady state of pressure dependent models (PDMs) with flow control valves. Rather than model flow devices individually, the method solves the more general problem in which a water distribution system (WDS) has some link flows constrained to lie between upper and lower, or possibly equal, set limits. No heuristics are used to determine device states. The method is shown to be fast and its e↵ectiveness is demonstrated on PDM WDSs with up to about 20,000 links and 18,000 nodes and 60 link flow constraints, some of which prescribe a fixed flow. The method has application in network management, network design and flow control to deal with water distribution where there is insu cient supply.

Gudermannian neural networks using the optimization procedures of genetic algorithm and active set approach for the three-species food chain nonlinear model

“…Recently, GA is implemented in the brain tumor images (Simi et al 2020 ), hospitalization expenditure systems (Tao et al 2019 ), Thomas–Fermi model (Sabir et al 2018 ), feature diversity in cancer microarray (Sayed et al 2019 ), radiation protective in the bismuth-borate glasses (Wilson 2019 ), nonlinear electric circuit models (Mehmood et al 2020 ), heat conduction model (Raja et al 2018 ), HIV infection model (Umar et al 2020b , c , d , e ), wire coating with Oldroyd 8-constant fluid model (Munir et al 2019 ), prediction differential system (Sabir et al 2020a , b , c ), periodic differential model (Sabir et al 2020a , b , c ) and cloud service optimization procedures (Yang et al 2019 ). ASA is applied in pricing American better-of option on two assets (Gao et al 2020 ), pressure-dependent models of water distribution systems with flow controls (Piller et al 2020 ), nonlinear optimization with polyhedral constraints (Hager and Tarzanagh 2020 ), numerical solution of the optimal control problem governed by partial differential equation (Azizi et al 2020 ), electrodynamic frictional contact problems (Abide et al 2021 ) and quadratic semidefinite program with general constraints (Shen et al 2021 ). The optimization process-based GA-ASA is applied to control the slowness of GA.…”

Swarming morlet wavelet neural network procedures for the mathematical robot system

“…A local search optimization technique known as active set programming is used to improve the performance of unconstrained and convex models. Recently, ASP is applied in various applications, some of them are realizable safety critical control [ 42 ], linearly non-lipschitz constrained nonconvex optimization [ 43 ], lung tumor detection and classification [ 44 ], atrial fibrillation detection based on transfer learning [ 45 ], characterizations of discrete-time descriptor systems [ 46 ], pressure-dependent models of water distribution systems [ 47 ] and embedded model predictive control [ 48 ]. The AI based MWNN-PSOASP is implemented to present the numerical solutions of the MRS. Fig.…”

Investigations of non-linear induction motor model using the Gudermannian neural networks

“…Subsequently, a well-ordered local search AST is implemented to adjust the parameters. AST is implemented in many recent applications, e.g., American better pricing choice on two assets [39], optimization with polyhedral constraints [40], pressure-dependent systems of water circulation based flow controls [41], numerical performances of the optimal control systems governed by the partial differential model [42], general constraints of the quadratic semidefinite program [43] and electrodynamic frictional contact models [44]. The detail of the implementation procedures of GA-AST is provided in the pseudocode-based Table 1.…”