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Waste management under multiple complexities: inexact piecewise-linearization-based fuzzy flexible programming.

Wei Sun¹, Guo H Huang, Ying Lv

¹Faculty of Engineering and Applied Science, University of Regina, Regina, Saskatchewan, Canada.

Waste Management (New York, N.Y.)

|February 29, 2012

Summary

This summary is machine-generated.

A new inexact piecewise-linearization-based fuzzy flexible programming (IPFP) model accurately estimates costs in waste management, unlike previous methods. This approach improves decision-making for complex environmental problems with nonlinear economies-of-scale effects.

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Area of Science:

Environmental Engineering
Operations Research
Mathematical Optimization

Background:

Waste management systems face challenges with nonlinear economies-of-scale (EOS) effects in interval-parameter constraints.
Existing models may struggle to accurately represent these complexities, leading to potential underestimation of costs and system uncertainties.

Purpose of the Study:

To develop an inexact piecewise-linearization-based fuzzy flexible programming (IPFP) model to address nonlinear EOS effects in waste management.
To quantify interval parameters for waste amounts, costs, and reflect aspiration levels and tolerance intervals.
To compare the IPFP model's performance against conventional approaches.

Main Methods:

Developed an inexact piecewise-linearization-based fuzzy flexible programming (IPFP) model.
Proposed an interactive algorithm to solve the interval-parameter mixed-integer quadratically constrained programming model.
Compared IPFP with a linear-regression-based model (IPFP2) and a model with interval right-hand-sides (IPFP3).

Main Results:

IPFP accurately estimates net system costs, avoiding the underestimation seen with IPFP2 when handling EOS effects.
IPFP provides more satisfactory interval solutions with decreased system uncertainties compared to IPFP3.
Optimized waste amounts show similar patterns across models, but cost and uncertainty representations differ significantly.

Conclusions:

The developed IPFP model effectively tackles nonlinear economies-of-scale effects in waste management optimization.
IPFP offers a more accurate and satisfactory approach to managing interval parameters and system uncertainties.
The IPFP model shows potential for broader application in complex environmental management problems.