An Interval-Parameter Fuzzy-Stochastic Programming Approach for Municipal Solid Waste Management and Planning (original) (raw)

FSILP: Fuzzy-stochastic-interval linear programming for supporting municipal solid waste management

Journal of Environmental Management, 2011

Although many studies on municipal solid waste management (MSW management) were conducted under uncertain conditions of fuzzy, stochastic, and interval coexistence, the solution to the conventional linear programming problems of integrating fuzzy method with the other two was inefficient. In this study, a fuzzy-stochastic-interval linear programming (FSILP) method is developed by integrating Nguyen's method with conventional linear programming for supporting municipal solid waste management. The Nguyen's method was used to convert the fuzzy and fuzzy-stochastic linear programming problems into the conventional linear programs, by measuring the attainment values of fuzzy numbers and/or fuzzy random variables, as well as superiority and inferiority between triangular fuzzy numbers/triangular fuzzystochastic variables. The developed method can effectively tackle uncertainties described in terms of probability density functions, fuzzy membership functions, and discrete intervals. Moreover, the method can also improve upon the conventional interval fuzzy programming and two-stage stochastic programming approaches, with advantageous capabilities that are easily achieved with fewer constraints and significantly reduces consumption time. The developed model was applied to a case study of municipal solid waste management system in a city. The results indicated that reasonable solutions had been generated. The solution can help quantify the relationship between the change of system cost and the uncertainties, which could support further analysis of tradeoffs between the waste management cost and the system failure risk.

A fuzzy interval multiobjective mixed integer programming approach for the optimal planning of solid waste management systems

Fuzzy Sets and Systems, 1997

Various deterministic mathematical programming models were developed to evaluate single objective or multiple objectives planning alternatives for municipal solid waste management. The common objective of minimizing the present value of overall management cost/benefit was extended to deal explicitly with environmental considerations, such as air pollution, traffic flow limitation, and leachate and noise impacts. But uncertainty plays an important role in the search for sustainable solid waste management strategies. This paper proposes a new approach a fuzzy interval multiobjective mixed integer programming (FIMOMIP) model for the evaluation of management strategies for solid waste management in a metropolitan region. In particular, it demonstrates how uncertain messages can be quantified by specific membership functions and combined through the use of interval numbers in a multiobjective analytical framework. @ 1997 Elsevier Science B.V.

Development of an Appropriate Uncertainty Model with an Application to Solid Waste Management Planning

Computational Intelligence and Neuroscience

The purpose of this study is to achieve a novel and efficient method for treating the interval coefficient linear programming (ICLP) problems. The problem is used for modeling an uncertain environment that represents most real-life problems. Moreover, the optimal solution of the model represents a decision under uncertainty that has a risk of selecting the correct optimal solution that satisfies the optimality and the feasibility conditions. Therefore, a proposed algorithm is suggested for treating the ICLP problems depending on novel measures such as the optimality ratio, feasibility ratio, and the normalized risk factor. Depending upon these measures and the concept of possible scenarios, a novel and effective analysis of the problem is done. Unlike other algorithms, the proposed algorithm involves an important role for the decision-maker (DM) in defining a satisfied optimal solution by using a utility function and other required parameters. Numerical examples are used for compari...

A facility location model for municipal solid waste management system under uncertain environment

The Science of the total environment, 2017

In municipal solid waste management system, decision makers have to develop an insight into the processes namely, waste generation, collection, transportation, processing, and disposal methods. Many parameters (e.g., waste generation rate, functioning costs of facilities, transportation cost, and revenues) in this system are associated with uncertainties. Often, these uncertainties of parameters need to be modeled under a situation of data scarcity for generating probability distribution function or membership function for stochastic mathematical programming or fuzzy mathematical programming respectively, with only information of extreme variations. Moreover, if uncertainties are ignored, then the problems like insufficient capacities of waste management facilities or improper utilization of available funds may be raised. To tackle uncertainties of these parameters in a more efficient manner an algorithm, based on interval analysis, has been developed. This algorithm is applied to f...

An interval-based regret-analysis method for identifying long-term municipal solid waste management policy under uncertainty

Journal of Environmental Management, 2011

In this study, an interval-based regret-analysis (IBRA) model is developed for supporting long-term planning of municipal solid waste (MSW) management activities in the City of Changchun, the capital of Jilin Province, China. The developed IBRA model incorporates approaches of intervaleparameter programming (IPP) and minimaxeregret (MMR) analysis within an integer programming framework, such that uncertainties expressed as both interval values and random variables can be reflected. The IBRA can account for economic consequences under all possible scenarios associated with different system costs and risk levels without making assumptions on probabilistic distributions for random variables. A regret matrix with interval elements is generated based on a matrix of interval system costs, such that desired decision alternatives can be identified according to the interval minimax regret (IMMR) criterion.

Grey fuzzy integer programming: An application to regional waste management planning under uncertainty

Socio-Economic Planning Sciences, 1995

This paper introduces a grey fuzzy integer programming (GFIP) method and its application to regional solid waste management planning under uncertainty. The GFIP improves upon the existing integer programming methods by incorporating both grey fuzzy linear programming (GFLP) and grey integer programming (GIP) approaches within a general optimization framework. The approach allows uncertainty in both model coefficients and stipulations to be effectively communicated into the optimization process and resulting solutions, such that feasible decision alternatives can be generated through appropriate interpretation of the solutions. Moreover, the GFIP does not lead to more complicated intermediate models in its solution process, thus offering lower computational requirements than existing methods. In addition, it is applicable to practical problems.

A mixed integer linear programming model for long-term planning of municipal solid waste management systems: Against restricted mass balances

Waste Management, 2020

Long-term planning of municipal solid waste management systems is a complex decision making problem which includes a large number of decision layers. Since all different waste treatment and disposal processes will show different responses to each municipal solid waste component, it is necessary to separately evaluate all waste components for all processes. This obligation creates an obstacle in the programming of mass balances for long-term planning of municipal solid waste management systems. The development of an ideal mixed integer linear programming model that can simultaneously respond to all essential decision layers including waste collection, process selection, waste allocation, transportation, location selection, and capacity assessment has not been made possible yet due to this important modeling obstacle. According to the current knowledge of the literature, all mixed integer linear programming studies aiming to address this obstacle so far have had to restrict many different possibilities in their mass balances. In this study, a novel mixed integer linear programming model was formulated. ALOMWASTE, the new model structure developed in this study, was built to take into consideration different process, capacity, and location possibilities that may occur in complex waste management processes at the same time. The results obtained from a case study showed the feasibility of new mixed integer linear programming model obtained in this study for the simultaneous solution of all essential decision layers in an unrestricted mass balance. The model is also able to provide significant convenience for the multi-objective optimization of financial-environmental-social costs and the solution of some uncertainty problems of decision-making tools such as life cycle assessment.

Capacity Planning for an Integrated Waste Management System Under Uncertainty: a North American Case Study

Waste Management & Research, 1997

In this paper, a grey integer-programming (GIP) formulation for the capacity planning of an integrated waste management system under uncertainty is applied to a North American case study. The GIP model is formulated by introducing concepts of grey systems and grey decisions into a mixed integer linear programming (MILP) framework. The approach has an advantage in that uncertain information (presented as interval numbers) can be effectively communicated into the optimization processes and resulting solutions, such that feasible decision alternatives can be generated through interpretation and analysis of the grey solutions according to projected applicable system conditions. Moreover, the GIP solution algorithm does not lead to more complicated intermediate models, and thus has lower computational requirements than other integer-programming methods that deal with uncertainties.

Linear Programming and Risk Analysis for Municipal Solid Waste Decision Support System

IFAC Proceedings Volumes 34(18)

Mathematical modelling is used to manage the Municipal Solid Waste (MSW) This paper develops a linear programming (LP) model for solid waste management systems. The integration of the Mathematical Programming Model and Risk. Analysis Methods is demonstrated through application to MSW management systems in Niepolomice town, not far from Krakow, Poland. Experimental results and the simulation values are obtained through using Cristall BallĀ®, a forecasting and risk analysis program for effective remediation of contaminated soil and waste landfill.

Interval-valued facility location model: An appraisal of municipal solid waste management system

Journal of Cleaner Production, 2018

This study presents an interval-valued facility location model to find economically best locations for transfer stations under uncertainty. Transfer stations are the vital part of contemporary municipal solid waste management systems and economical siting of transfer stations using developed model lead to a financially sustainable system. Often, the associated uncertainty of these systems cannot be modeled by conventional probabilistic or fuzzy approaches under a data scarce scenario; however, models based on interval analysis are found to be very effective in such cases. A set of univariate and multivariate sensitivity analyses adduces the need of uncertainty analysis for quantification and propagation of uncertainty. The demonstration of model on city of Nashik (India) provides (i) economical feasibility, optimum capacity and economically best locations