Optimal Design of Pipe Diameter in Water Distribution System by Multi-objective Differential Evolution Algorithm: A Case Study of Small Town in Chiang Mai

  • Warisa WisittipanichEmail author
  • Dollaya Buakum
Conference paper
Part of the Lecture Notes in Electrical Engineering book series (LNEE, volume 513)


Water distribution system (WDS) plays a vital role in supplying water for population living in the city and urban areas. An expensive infrastructure of the WDS drives researchers to seek the least-cost design. This paper first presents the mathematical model to determine the optimal design for the WDS with two conflicting objectives; minimization of construction cost and minimization of total head loss in the network. To deal with large-scale problem in the real-world practice, metaheuristic approach is required to solve the problem. Therefore, this study proposes Differential Evolution (DE) algorithm with encoding and decoding procedures to handling the complexity of decision making in designing pipe sizes of all arcs in the water distribution network. The experiments are executed using the scenarios from the real case-study. Results obtained show that the proposed DE is able to find good a quality front with a set of non-dominated solutions in a single run without prejudice.


Water distribution Cost minimization Total head loss minimization Multi-objective Differential evolution 



This work was supported by Excellence Center in Logistics and Supply Chain Management, Chiang Mai University, Thailand.


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© Springer Nature Singapore Pte Ltd. 2019

Authors and Affiliations

  1. 1.Department of Industrial Engineering, Faculty of EngineeringChiang Mai UniversitySuthep, MuangThailand
  2. 2.Excellence Center in Logistics and Supply Chain ManagementChiang Mai UniversitySuthep, MuangThailand

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