Fuzzy optimization-based Water Distribution Network design using Self-Adaptive Cuckoo Search Algorithm

Abstract

Water Distribution Network(s) (WDN) design is gaining prominence in the urban planning context. Several factors that play a significant role in design are uncertainty in data, non-linear relation of head loss & discharge, combinatorial nature of the problem, and high computational requirements. In addition, many conflicting objectives are possible and required for effective WDN design, such as cost, resilience, and leakage. Most of the research work published has used multiobjective evolutionary optimization in solving such complex WDN. However, the challenge of such population based evolutionary approaches is that they provide multiple trade-off Pareto optimal solutions to the decision-maker who will have to choose another set of techniques to arrive at a single optimal solution. The present study employs a fuzzy optimization approach that would provide a single optimal WDN design for Hanoi and Pamapur, India. Maximization of network resilience (NR) and minimization of network cost (NC) are employed in a multiobjective context. Later, minimization of network leakages (NL) is also incorporated, leading to three objective problems. Hyperbolic Membership Function (HMF), Exponential Membership Function (EMF), and Non-linear Membership Function (NMF) are employed in Self-Adaptive Cuckoo Search Algorithm based fuzzy optimization. HMF is found suitable to determine the best possible WDN design for chosen case studies based on the highest degree of satisfaction. HIGHLIGHT Most of the research conducted till now have used evolutionary multiobjective optimization in solving WDNs. But, the challenge of such evolutionary approaches is that they provide multiple trade-off pareto optimal solutions to the decision maker who will have to further choose another methodology to converge to a single optimal solution. The proposed methodology would simplify the decision-making process for an engineer.

Flow Coefficient Determination in Catchment Based on Analysis of Temperature and Wind Speed Data Using the Fuzzy SMRGT Method

“…The length of the Aksu River is approximately 370 km (230 miles), and it has a total width at its mouth of 100 meters (330 feet). Based on ArcGIS measurements, the basin drains an area of approximately 7505 km 2 . The average annual temperature and wind speed data from 1990 to 2020 were utilized for the dataset.…”

“…Zadeh's pioneering study challenged probability theory as the only source of uncertainty and the basis of probability theory, which is Aristotelian two-valued logic. There are many literature used fuzzy logic in hydrology and hydraulic applications; for example, [2] applied fuzzy logic to optimize water distribution, while [3] used it to IOP Publishing doi:10.1088/1755-1315/1222/1/012014 2 simulate infiltration and water movement in the unsaturated zone. [4] Investigated fuzzy rule-based hydraulic control systems.…”

Booster Disinfection Scheduling under Uncertainty in Water Distribution Systems: Approximate Robust Reformulation Approach

“…Later reliability-based procedures to handle the uncertainties became popular (Duan et al, 1990;Gheisi et al, 2016;Gupta and Bhave, 1994;Su et al, 1987). Fuzzy programming has also been used to solve the design problems (Geem, 2015;Shibu and Reddy, 2014;Vasan et al, 2022) However, the realm of uncertainty pertaining to water quality parameters has received limited attention. To bridge this gap, (Kang et al, 2009;Pasha and Lansey, 2010) analyse the influence of select water quality parameters like bulk and wall reaction coefficients, along with pipe diameters on the quality of water within the distribution systems.…”

Analyzing the Effect of Sewer Network Size on Optimization Algorithms’ Performance in Sewer System Optimization

“…Their results showed that GWO and hybrid GWO are suitable to use in sewer optimization. In addition, CS is also employed to solve similar problems, such as reservoir operations [42][43][44][45], optimum design of water distribution systems [46][47][48], water quality forecast [49], and drought forecast [50]. Cetin and Turan [51] have observed that CS was suitable to use in sewer optimization.…”