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

Huang, Guohe; Baetz, Brian W.; Patry, Gilles G.

doi:10.1016/0377-2217(94)00093-r

Cited by 368 publications

(252 citation statements)

References 14 publications

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“…An inexact-stochastic model is based on an inexact chance-constrained programming method, which improves upon the existing inexact and stochastic programming approaches by allowing both distribution information in the left hand and uncertainties in the right hand to be effectively incorporated within its optimization process (Huang et al 1995b). Thus, decision alternatives can be generated by adjusting decision variable values within their solution intervals.…”

Section: Discussionmentioning

confidence: 99%

“…The IFLP allows the interval information to be directly communicated into the optimization process and resulting solution (Huang et al 1995b;Wang and Huang 2013a, b;Hu et al 2014). The abstract function of system design model based on an interval number optimization can be written as follows (Huang et al 1993;Liu et al 2006):…”

Section: Iflp Model Formulationmentioning

confidence: 99%

“…The majority of these methods are related to fuzzy mathematical programming (FMP) (Lee et al 1991;Chang and Lu 1997;Chanas and Zielinski 2000;Cui et al 2011;James et al 2013;Su et al 2011;Wang et al 2011Wang et al , 2013Wang and Huang 2013a, b), stochastic mathematical programming (SMP) (Li 2003), and interval mathematical programming (IMP) (Huang et al 1993(Huang et al , 1994a(Huang et al , 1995bChang and Lu 1997;Liu et al 2006;Hu et al 2014;Li et al 2014). Although the IMP proves to be an effective approach in dealing with uncertainties, it encounters difficulties when the model's right-hand-side coefficients are highly uncertain.…”

Section: Introductionmentioning

confidence: 99%

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Trade-off between water pollution prevention, agriculture profit, and farmer practice—an optimization methodology for discussion on land-use adjustment in China

Liu

Zhang

Zhang³

et al. 2014

Environ Monit Assess

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Agricultural decision-making to control nonpoint source (NPS) water pollution may not be efficiently implemented, if there is no appropriate cost-benefit analysis on agricultural management practices. This paper presents an interval-fuzzy linear programming (IFLP) model to deal with the trade-off between agricultural revenue, NPS pollution control, and alternative practices through land adjustment for Wuchuan catchment, a typical agricultural area in Jiulong River watershed, Fujian Province of China. From the results, the lower combination of practice 1, practice 2, practice 3, and practice 7 with the land area of 12.6, 5.2, 145.2, and 85.3 hm 2 , respectively, could reduce NPS pollution load by 10 %. The combination yields an income of 98,580 Chinese Yuan/a. If the pollution reduction is 15 %, the higher combination need practice 1, practice 2, practice 3, practice 5, and practice 7 with the land area of 54.4, 23.6, 18.0, 6.3, and 85.3 hm 2 , respectively. The income of this combination is 915,170 Chinese Yuan/a. The sensitivity analysis of IFLP indicates that the cost-effective practices are ranked as follows: practice 7 > practice 2 > practice 1 > practice 5 > practice 3 > practice 6 > practice 4. In addition, the uncertainties in the agriculture NPS pollution control system could be effectively quantified by the IFLP model. Furthermore, to accomplish a reasonable and applicable project of land-use adjustment, decisionmakers could also integrate above solutions with their own experience and other information.

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Section: Discussionmentioning

confidence: 99%

Section: Iflp Model Formulationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Trade-off between water pollution prevention, agriculture profit, and farmer practice—an optimization methodology for discussion on land-use adjustment in China

Liu

Zhang

Zhang³

et al. 2014

Environ Monit Assess

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“…An interactive two-step algorithm is developed to solve the above problem through analyzing the detailed interrelationships between the parameters and the variables and between the objective function and the constraints [36,41]. The submodel for l þ corresponding to f À can be formulated in the first step when the system objective is to be minimized; the other submodel for l À can then be formulated based on the solution of the first submodel.…”

Section: Methodsmentioning

confidence: 99%

Interval-fuzzy municipal-scale energy model for identification of optimal strategies for energy management – A case study of Tianjin, China

Chen

Huang

2016

Renewable Energy

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a b s t r a c tAn interval-fuzzy municipal-scale energy model (IF-MEM) is developed for energy systems planning. IF-MEM can effectively tackle uncertainties presented in terms of fuzzy sets and discrete intervals. IF-MEM is applied to a real case of energy systems planning in the City of Tianjin, which is the economic and industrial center of northern China. IF-MEM allows in-depth analyses for tradeoffs among economic objective, satisfaction degree, and constraint-violation risk. The results indicate that reasonable solutions have been generated. The results suggest that: (i) coal would be the dominant sources in city's energy systems due to the increasing energy demand; however, its consumption ratio would decrease over the planning horizon due to requirements of environment protection and sustainable development; (ii) clean (e.g., natural gas, liquefied petroleum gas) and renewable energies (e.g., wind power, solar power) would be vigorously encouraged during the planning periods; (iii) coal-fired technology (i.e., coal-fired power and heat) would be the major contributor for the city's atmosphere pollution; (iv) the pollutant emissions would be decreased over the planning horizon due to the restriction of fossil fuels and the development of renewable energy. Promoting the utilization of renewable energy sources is crucial for supporting pollutant emission reduction and solving energy shortage crisis.

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“…Intervalparameter programming (IPP) is an alternative for tackling uncertainties expressed as intervals that exist in the model's leftand/or right-hand sides as well as the objective function (Suo et al, 2013). The IPP has advantages such that (i) it allows uncertainties to be directly communicated into the optimization process, (ii) it does not lead to more complicated intermediate models, and thus has a relatively low computational requirement and (iii) it does not require distributional information for model parameters, which is particularly meaningful for practical applications because it is typically much more difficult for planners/engineers to specify distributions than to obtain intervals (Huang et al, 1995;Zhang et al, 2014). An IPP model can be formulated as follows:…”

Section: Methodsmentioning

confidence: 99%

A relative interval-regret analysis method for regional ecosystem planning – a case study of Dongying, China

You

Huang

2015

Ecological Engineering

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A B S T R A C TA relative interval-regret analysis (RIRA) method is developed for regional ecosystem management under uncertainty through incorporating interval-parameter programming (IPP) and minimax relative regret (MRR) analysis techniques within a general framework. RIRA can handle uncertainties expressed as intervals and random variables without knowing probability distributions and only needs a list of possible scenarios that may occur; it can also incorporate ecosystem services valuation approaches directly into the optimization process, such that an effective linkage between eco-compensation costs and ecosystem service losses can be provided. The RIRA method is applied to a real case of planning regional ecosystem of Dongying, where the natural ecosystem has suffered the severe degradation due to large-scale land reclamation projects. Results of land-use pattern, ecological compensation strategy, and industrial pollution-mitigation scheme can be obtained. The results reveal that, although large-scale reclamation projects can bring benefits and make a significant contribution to local economic development, they can also result in many negative effects to the coastal ecosystem, such as endangering animals and plants, changing intrinsic gas regulation, as well as altering natural nutrient cycling. Moreover, the results indicate that eco-compensation cost is much higher than the cost for reclaimed land use, disclosing that eco-compensation mechanism is desired for curbing excessive reclamation activities. These findings can facilitate the local decision makers in not only considering regional ecosystem integrity but also gaining insights into the tradeoff between socio-economic development and eco-environmental sustainability.

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

Cited by 368 publications

References 14 publications

Trade-off between water pollution prevention, agriculture profit, and farmer practice—an optimization methodology for discussion on land-use adjustment in China

Trade-off between water pollution prevention, agriculture profit, and farmer practice—an optimization methodology for discussion on land-use adjustment in China

Interval-fuzzy municipal-scale energy model for identification of optimal strategies for energy management – A case study of Tianjin, China

A relative interval-regret analysis method for regional ecosystem planning – a case study of Dongying, China

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