An interval nonlinear program for the planning of waste management systems with economies-of-scale effects—A case study for the region of Hamilton,Ontario, Canada |
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| Institution: | 1. Environmental Systems Engineering Program, Faculty of Engineering, University of Regina, Regina, Sask., Canada S4S 0A2;2. Department of Civil Engineering, Dalhousie University, Halifax, NS, Canada B3J 1Z1;3. Environmental Science and Engineering Program, University of Northern British Columbia, Prince George, BC, Canada V2N 4Z9;1. Future Cities Laboratory, Singapore ETH Centre, Singapore;2. Institute of Environmental Engineering, ETH Zurich, Zurich, Switzerland;3. Department of Architecture, National University of Singapore, Singapore;4. Asia Research Institute, National University of Singapore, Singapore;1. LAMEMO Laboratory, Department of Civil Engineering, Federal University of Rio de Janeiro, COPPE/UFRJ, Av. Pedro Calmon – Ilha do Fundão, 21941-596 Rio de Janeiro, Brazil;2. CESUR – Center for Urban and Regional Systems, Instituto Superior Técnico, University of Lisboa, Av. Rovisco Pais, 1049-001 Lisbon, Portugal;3. CLG – Centre for Local Government, University of New England, Armidale, NSW, Australia;4. Faculty of Economics, Yokohama National University, Japan;1. School of Economics and Management, Nanjing University of Science and Technology, Nanjing 210094, China;2. Department of Electrical Engineering, The Hong Kong Polytechnic University, 999077, Hong Kong Special Administrative Region;3. College of Mathematics and Statistics, Shenzhen University, China;1. Department of Industrial and Systems Engineering, Mississippi State University, Mississippi State, MS, USA;2. Department of Civil and Environmental Engineering, University of South Florida, FL, USA |
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| Abstract: | In practical environmental systems with the effects of economies-of-scale (EOS), most relationships among different system components are nonlinear in nature, which can be described precisely only if a nonlinear model is employed. In this study, an interval nonlinear programming (INLP) model is developed and applied to the planning of a municipal solid waste (MSW) management system with EOS effects on system costs. The INLP has a nonlinear objective function and linear constraints. It handles nonlinearity presented as exponential functions. When exponential term p = 1 (in the INLP’s objective function), the model becomes an interval linear program; when p = 2, it becomes an interval quadratic program. Therefore, the INLP is flexible in reflecting a variety of system complexities. A solution algorithm with satisfactory performance is proposed. Application of the proposed method to the planning of waste management activities in the Hamilton-Wentworth Region, Ontario, Canada, indicated that reasonable solutions have been generated. In general, the INLP model could reflect uncertain and nonlinear characteristics of MSW management systems with EOS effects. The modeling results provided useful decision support for the Region’s waste management activities. |
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