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A New Optimization Model for the Sustainable Development: Quadratic Knapsack Problem with Conflict Graphs

Xiaochuan Shi, Lei Wu and Xiaoliang Meng
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Xiaochuan Shi: International School of Software, Wuhan University, 37 Luoyu Road, Wuhan 430079, China
Lei Wu: Wenlan School of Business, Zhongnan University of Economics and Law, 182 Nanhu Avenue, Wuhan 430073, China
Xiaoliang Meng: International School of Software, Wuhan University, 37 Luoyu Road, Wuhan 430079, China

Sustainability, 2017, vol. 9, issue 2, 1-10

Abstract: New information technology constantly improves the efficiency of social networks. Using optimization and decision models in the context of large data sets attracts extensive attention. This paper investigates a novel mathematical model for designing and optimizing environmental economic policies in a protection zone. The proposed model is referred to as the quadratic knapsack problem with conflict graphs, which is a new variant of the knapsack problem family. Due to the investigated problem processing a high complex structure, in order to solve efficiently the problem, we develop a metaheuristic which is based on the large neighborhood search. The proposed method embeds a construction procedure into a sophistical neighborhood search. For more details, the construction procedure takes charge of finding a starting solution while the investigated neighborhood search is used to generate and explore the solution space issuing from the provided starting solution. In order to highlight our theoretical model, we evaluate the model on a set of complex benchmark data sets. The obtained results demonstrate that the investigated algorithm is competitive and efficient compared to legacy algorithms.

Keywords: Modelization; quadratic; conflict; sustainable development (search for similar items in EconPapers)
JEL-codes: O13 Q Q0 Q2 Q3 Q5 Q56 (search for similar items in EconPapers)
Date: 2017
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (3)

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