Interval-parameter Fuzzy-stochastic Semi-infinite Mixed-integer Linear Programming for Waste Management under Uncertainty |
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| Authors: | P Guo G H Huang L He H L Li |
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| Institution: | (1) Department of Civil and Environmental Engineering, University of Waterloo, Waterloo, ON, N2L 3G1, Canada;(2) Environmental Systems Engineering Program, University of Regina, Regina, SK,, S4S 0A2, Canada;(3) Chinese Research Academy of Environmental Science, Beijing Normal University, Beijing, 100012-100875, China;(4) Environmental Systems Engineering Progam, University of Regina, Regina, SK,, S4S 0A2, Canada |
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| Abstract: | An interval-parameter fuzzy-stochastic semi-infinite mixed-integer linear programming (IFSSIP) method is developed for waste
management under uncertainties. The IFSSIP method integrates the fuzzy programming, chance-constrained programming, integer
programming and interval semi-infinite programming within a general optimization framework. The model is applied to a waste
management system with three disposal facilities, three municipalities, and three periods. Compared with the previous methods,
IFSSIP have two major advantages. One is that it can help generate solutions for the stable ranges of the decision variables
and objective function value under fuzzy satisfaction degree and different levels of probability of violating constraints,
which are informative and flexible for solution users to interpret/justify. The other is that IFSSIP can not only handle uncertainties
through constructing fuzzy and random parameter, but also reflect dynamic features of the system conditions through interval
function of time over the planning horizon. By comparing IFSSIP with interval-parameter mixed-integer linear semi-infinite
programming and parametric programming, the IFSSIP method is more reasonable than others. |
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| Keywords: | Chance-constrained Decision making Functional interval Fuzzy Semi-infinite Uncertainty Waste management |
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