Content area
Full Text
Water Resour Manage (2016) 30:16051620 DOI 10.1007/s11269-015-1191-8
Joshua C. Steele1 & Kurt Mahoney1 & Omer Karovic1 & Larry W. Mays1
Received: 9 March 2015 /Accepted: 8 November 2015 / Published online: 13 February 2016# Springer Science+Business Media Dordrecht 2016
Abstract The design of urban stormwater systems and sanitary sewer systems consists of solving two problems: generating a layout of the system and the pipe design which includes the crown elevations, slopes and commercial pipe sizes. A heuristic model for determining the optimal (minimum cost) layout and pipe design of a storm sewer network is presented. The hierarchical procedure combines a sewer layout model formulated as a mixed-integer nonlinear programming (MINLP) problem which is solved using the General Algebraic Modeling System (GAMS) and a simulated annealing optimization procedure for the pipe design of a generated layout was developed in Excel. The GAMS and simulated annealing models are interfaced through linkage of Excel and GAMS. The pipe design model is based upon the simulated annealing method to optimize the crown elevations and diameter of pipe segments in a storm sewer network using layouts generated using GAMS. A sample scenario demonstrates that using these methods may allow for significant costs saving while simultaneously reducing the time typically required to design and compare multiple storm sewer networks.
Keywords Sewer systems . Optimization . Minimum cost design . Hierarchical modeling . Simulated annealing . Mixed-integer nonlinear programming
1 Introduction
The objectives of this paper are to: (1) present a new methodology for the optimal pipe layout and pipe design (slope and pipe diameter) procedure for the minimum cost design of branching storm sewer systems (2) explain the development of the simulated annealing (SA) optimization approach within Excel; (3) explain the mixed integer nonlinear programming model to define
* Larry W. Mays [email protected]
1 School of Sustainable Engineering and the Built Environment, Arizona State University, Tempe, AZ
85257-5306, USA
http://crossmark.crossref.org/dialog/?doi=10.1007/s11269-015-1191-8&domain=pdf
Web End = http://crossmark.crossref.org/dialog/?doi=10.1007/s11269-015-1191-8&domain=pdf
Web End = Heuristic Optimization Model for the Optimal Layout and Pipe Design of Sewer Systems
1606 J.C. Steele et al.
layouts that is solved using GAMS; and (4) demonstrate the procedure to interface the simulated annealing procedure and the GAMS code.
1.1 Previous Optimization Models
Optimal sewer design was first proposed by Deininger (1966) and Holland...