Land use structure optimization based on uncertainty fractional joint probabilistic chance constraint programming
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ORIGINAL PAPER
Land use structure optimization based on uncertainty fractional joint probabilistic chance constraint programming Jinjin Gu1 • Xiaorui Zhang1 • Xiaodong Xuan2 • Yuan Cao2
Ó Springer-Verlag GmbH Germany, part of Springer Nature 2020
Abstract An uncertainty fractional joint probability chance constraint programming is developed to process land use structure optimization under uncertainty. The model integrate uncertainty programming into fractional programming, and the uncertainty programming include interval programming, fuzzy programming, stochastic programming and joint probability chance constraint programming. The results of the study are a series of land use policies in multiple scenarios with interval and deterministic numbers. The advantage of the model include it can (1) effectively integrate the two objectives of economic benefit maximization and pollution minimization by the fractional programming; (2) effectively process the uncertainty by the corresponding uncertainty programming; (3) reflect the impact of uncertainty on system benefit, pollutant discharge, and land use structure policy; and (4) develop a series of possible scenarios and corresponding feasible plans. The results of the study can help planners or decision makers develop flexible land use policy to address the multiobjective problems of maximum, minimum, and uncertainty. The proposed method is universal and can be extended to other cases. Keywords Land use structure optimization Fractional joint probabilistic chance constraint programming Uncertainty
1 Introduction Land use structure optimization arranges the different types of land resources in the area rationally depending on the characteristic of the land resources and the land suitability evaluation to achieve certain ecological or economic objectives (Emanuela et al. 2018; Gao et al. 2010). The land use structure optimization not only can improve the efficiency of land use but also can maintain the ecological balance to achieve the sustainable use of land resources (Chibilev et al. 2016; Sadeghi et al. 2009). Mathematic method plays an increasingly high role in land use optimization, and the recent methods of land use structure & Xiaorui Zhang [email protected] 1
Department of Urban and Rural Planning, College of Architecture and Art, Hefei University of Technology, Hefei 230601, China
2
Department of Architecture, College of Architecture and Art, Hefei University of Technology, Hefei 230601, China
optimization include linear programming (Wang et al. 2010a, b), multi-objective programming (Yang et al. 2013), system dynamic modeling (Domptail and Nuppenau 2010), cellular automata (Yang et al. 2012), and genetic algorithm (Wang et al. 2010a, b). Most land use structure optimization models are certainty models; however, uncertainty is rooted in nature and human society and always considerably impacts the decision-making process and the decision (Gu et al. 2016b; Lu et al. 2014). Ignoring the uncertainty will cause deviation in the decision-making process and red
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