TY - JOUR
T1 - A heuristic approach algorithm for the optimization of water distribution networks
AU - Lin, Bi Liang
AU - Wu, Ray Shyan
AU - Liaw, Shu Liang
N1 - Funding Information:
The authors gratefully acknowledge the financial support of the Water Works Association ofthe Republic of China (Taiwan).
PY - 1997
Y1 - 1997
N2 - Many optimization models to determine cost-effectiveness and obtain the least-cost system designs for water distribution networks have been developed. An algorithm used for solving an optimization model, such as the branch-and-bound or enumeration method, has deficiencies that may include efficiency problems and local optimal solution problems. A heuristic approach, with a bounded implicit enumeration (BIE) algorithm was developed in this study to improve searching efficiency. The heuristic approach first treats the system as a sub-system so that the sub-system's solution must spread widely at the solution space. Then, the optimal sub-system solution is found by a BIE algorithm. On the basis of the optimal solution for the initial system, one larger than and one smaller than its commercial diameter is used to form a new system design. Finally, an optimal solution is determined by using the BIE algorithm until the same solution is found. In this study, five water distribution network designs were used to illustrate the performance of this approach. The obvious results show that a heuristic approach is more efficient than BIE alone. The efficiency becomes more obvious when the system becomes larger. Comparing the three case studies, the heuristic approach along with the BIE algorithm finds global optimal solution more efficiently.
AB - Many optimization models to determine cost-effectiveness and obtain the least-cost system designs for water distribution networks have been developed. An algorithm used for solving an optimization model, such as the branch-and-bound or enumeration method, has deficiencies that may include efficiency problems and local optimal solution problems. A heuristic approach, with a bounded implicit enumeration (BIE) algorithm was developed in this study to improve searching efficiency. The heuristic approach first treats the system as a sub-system so that the sub-system's solution must spread widely at the solution space. Then, the optimal sub-system solution is found by a BIE algorithm. On the basis of the optimal solution for the initial system, one larger than and one smaller than its commercial diameter is used to form a new system design. Finally, an optimal solution is determined by using the BIE algorithm until the same solution is found. In this study, five water distribution network designs were used to illustrate the performance of this approach. The obvious results show that a heuristic approach is more efficient than BIE alone. The efficiency becomes more obvious when the system becomes larger. Comparing the three case studies, the heuristic approach along with the BIE algorithm finds global optimal solution more efficiently.
KW - Bounded implicit enumeration
KW - Heuristic approach
KW - Optimization
KW - Water distribution networks
UR - http://www.scopus.com/inward/record.url?scp=0030717717&partnerID=8YFLogxK
U2 - 10.1016/S0273-1223(97)00477-0
DO - 10.1016/S0273-1223(97)00477-0
M3 - 會議論文
AN - SCOPUS:0030717717
SN - 0273-1223
VL - 36
SP - 219
EP - 226
JO - Water Science and Technology
JF - Water Science and Technology
IS - 5
T2 - Proceedings of the 1997 4th IAWQ International Symposium on Systems Analysis and Computing in Water Quality Management
Y2 - 17 June 1997 through 20 June 1997
ER -