Inexact multistage stochastic integer programming for water resources management under uncertainty

Li, Y. P.; Huang, Guohe; Nie, Songlin; Liu, L.

doi:10.1016/j.jenvman.2007.01.056

Cited by 91 publications

(36 citation statements)

References 39 publications

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“…In this section, we first provide the ILP formulation and its solution algorithm [15][16][17][18][19][20][21], and then provide the modelling formulation. [16,17] Let denote a set of interval numbers.…”

Section: Methodsmentioning

confidence: 99%

“…Many researchers have applied interval programming in other fields [15][16][17][18][19][20][21]. For example, Huang and Baetz provided a grey linear programming approach for municipal solid waste management planning under uncertainty [15].Huang developed an interval parameter water quality management model for water resources decision making under uncertainty [17].…”

Section: Open Accessmentioning

confidence: 99%

See 1 more Smart Citation

An Optimization Model of Carbon Sinks in CDM Forestry Projects Based on Interval Linear Programming

Zhang

Wang

et al. 2012

Energies

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This study describes the first general optimization model for complex systems with uncertain parameters and decision variables represented as intervals in CDM forestry projects. We work through a specific example of the optimization method developed for a Clean Development Mechanism (CDM) forestry project in Inner Mongolia, China. This model is designed to optimize the carbon sink capacity of the new forests, and can deal with uncertainties in the carbon sink capacity, average annual rainfall, ecological parameters, and biological characteristics of tree species. The uncertain inputs are presented in the form of intervals, as are several of the optimized output variables. Compared with the project's originally recommended scheme, the optimized model will absorb and fix between 1,142 and 885,762 tonnes of extra carbon dioxide. Moreover, the ecological and environmental benefits of the project are also raised to various extents.

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Section: Methodsmentioning

confidence: 99%

Section: Open Accessmentioning

confidence: 99%

An Optimization Model of Carbon Sinks in CDM Forestry Projects Based on Interval Linear Programming

Zhang

Wang

et al. 2012

Energies

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“…Convexity properties of the recourse value functions can be effectively used in the decomposition-based solution strategy. [25][26][27][28] In model 1, uncertainties can be conceptualized into the scenario tree, with a one-to-one correspondence between the previous random variable and one of the nodes (state of the system) in each stage. 22 However, randomness in other parameters (e.g., waste management facility capacities) also needs to be reflected.…”

Section: Methodsmentioning

confidence: 99%

“…25,28 The fixed cost is linked to the capacity expansion activity, whereas the variable cost is linked to the capacity expansion size. The total cost for facility expansion would increase with the capacity expanded; however, because of the fixed-charged cost function, the unit cost for facility expansion would be decreased with the amount of capacity expanded, which reflects the EOS effect on the expansion cost.…”

Section: Modeling Formulationmentioning

confidence: 99%

Modeling Municipal Solid Waste Management System under Uncertainty

Huang

2010

Journal of the Air & Waste Management Association

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In this study, a dynamic inexact waste management (DIWM) model is developed for identifying optimal waste-flow-allocation and facility-capacity-expansion strategies under uncertainty and is based on an inexact scenario-based probabilistic programming (ISPP) approach. The DIWM model can handle uncertainties presented as interval values and probability distributions, and it can support assessing the risk of violating system constraints. Several violation levels for facility-capacity and waste-diversion constraints are examined. Solutions associated with different risks of constraint violation were generated. The modeling results are valuable for supporting the planning of the study city's municipal solid waste (MSW) management practices, the long-term capacity expansion for waste management system, and the identification of desired policies regarding waste diversion. Sensitivity analyses are also undertaken to demonstrate that the violations of different constraints have varied effects on the planning of waste-flow allocation, facility expansion, and waste management cost.

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“…In this study, an interactive solution algorithm named two-step-method (TSM) was proposed by Huang et al (1992Huang et al ( , 1995 was widely used for interval-parameter programming methods (Huang, 1998;Huang and Loucks, 2000;Li et al, 2008aLi et al, , 2010. Interval solutions can be obtained based on the analysis of detailed interrelationships between the parameters and variables and between the objective function and constraints.…”

Section: Interval Linear Programming (Ilp)mentioning

confidence: 99%

Inexact Fuzzy Stochastic Chance Constraint Programming for Emergency Evacuation in Qinshan Nuclear Power Plant under Uncertainty

Huang¹,

Nie²,

Guo³

et al. 2017

J ENVIRON INFORM

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ABSTRACT. Nuclear power accidents are one of the most dangerous disasters posing a lethal threat to human health and have detrimental effects lasting for decades. Therefore, emergency evacuation is important to minimize injuries and prevent lethal consequences resulting from a nuclear power accident. An inexact fuzzy stochastic chance constrained programming (IFSCCP) method is developed to address various uncertainties in evacuation management problems. It integrates the interval-parameter programming (IPP) and fuzzy stochastic chance constrained programming (FSCCP) methods into a general framework, in which the IPP method addresses the uncertainties presented as intervals defined by crisp lower and upper bounds, and the FCCP treat the dual-uncertainties expressed as fuzzy random variables. The measures of possibility and necessity were employed to convert the fuzzy random variables into crisp values to reflect the decision maker's pessimistic and optimistic preferences. The IFSCCP model is applied to support nuclear emergency evacuation management in the Qinshan Nuclear Power Site, which is one of the largest nuclear plants in China. The results provide stable intervals for the objective function and decision variables with different fuzzy and probability confidence levels regarding the local residents' distribution. Nine scenarios are analyzed to reflect the impacts of the imprecision (fuzziness and randomness) associated with the size of the population in a plume emergency planning zone. The results are valuable for supporting local decision makers to generate effective emergency evacuation strategies.

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Inexact multistage stochastic integer programming for water resources management under uncertainty

Cited by 91 publications

References 39 publications

An Optimization Model of Carbon Sinks in CDM Forestry Projects Based on Interval Linear Programming

An Optimization Model of Carbon Sinks in CDM Forestry Projects Based on Interval Linear Programming

Modeling Municipal Solid Waste Management System under Uncertainty

Inexact Fuzzy Stochastic Chance Constraint Programming for Emergency Evacuation in Qinshan Nuclear Power Plant under Uncertainty

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