Title0-1 Piecewise linearization approach for interval-parameter nonlinear programming: application to environmental management under uncertainty
AuthorsLi, Y. P.
Huang, G. H.
Yang, Z. F.
Nie, S. L.
AffiliationPeking Univ, Coll Urban & Environm Sci, Beijing 100871, Peoples R China.
Univ Regina, Fac Engn, Environm Syst Engn Program, Regina, SK S4S 0A2, Canada.
Beijing Normal Univ, Chinese Res Acad Environm Sci, Beijing 100012, Peoples R China.
Beijing Normal Univ, Sch Environm, State Key Lab Water Environm Simulat, Beijing 100875, Peoples R China.
Beijing Univ Technol, Coll Mech Engn & Appl Elect Technol, Beijing 100022, Peoples R China.
Keywordsdecision
environment
interval
nonlinear programming
optimization
piecewise
solid waste
uncertainty
SOLID-WASTE MANAGEMENT
PROBABILITY-DISTRIBUTIONS
MODEL DEVELOPMENT
SYSTEMS
ALLOCATION
ALGORITHM
Issue Date2009
Publishercanadian journal of civil engineering
CitationCANADIAN JOURNAL OF CIVIL ENGINEERING.2009,36,(6),1071-1084.
AbstractInterval-parameter nonlinear programming (INP) is an extension of conventional nonlinear optimization methods for handling both nonlinearities and uncertainties. However, challenges exist in its solution method, leading to difficulties in obtaining a global optimum. In this study, a 0-1 piecewise approximation approach is provided for solving the INP, through integration with an interactive algorithm for interval-parameter optimization problems. Thus, the INP model can be transformed into two deterministic submodels that correspond to the lower and upper bounds of the objective-function value. By solving the two submodels, interval solutions can be obtained, which are used for generating a range of decision options. The developed method is applied to a case of long-term municipal solid waste (MSW) management planning. Not only uncertainties expressed as interval values but also nonlinearities in the objective function can be tackled. Moreover, economies of scale (EOS) effects on waste-management cost can also be reflected. The results obtained can be used for generating decision alternatives and thus help waste managers to identify desired policies for MSW management and planning. Compared with the conventional interval-parameter linear and quadratic programs, the developed INP can better reflect system-cost variations and generate more robust solutions.
URIhttp://hdl.handle.net/20.500.11897/322370
ISSN0315-1468
Appears in Collections:城市与环境学院

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