CIESC Journal ›› 2014, Vol. 65 ›› Issue (7): 2802-2812.doi: 10.3969/j.issn.0438-1157.2014.07.042

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Modeling and multi-objective optimization of multi-period biofuel supply chain

LIU Zhexuan, QIU Tong, CHEN Bingzhen   

  1. Department of Chemical Engineering, Tsinghua University, Beijing 100084, China
  • Received:2014-04-03 Revised:2014-04-10 Online:2014-07-05
  • Supported by:

    supported by Chinese Academy of Engineering (20121667845).

Abstract: This paper presents a life cycle assessment (LCA) based multi-period and multi-objective biofuel supply chain model. The objective functions are total discounted profit, average fossil energy input per MJ biofuel and average greenhouse gases emission per MJ biofuel (economic, energy, environmental, 3E). Considering seasonal factor and storage problem, a multi-period model was required. Furthermore, to investigate the expansion of the supply chain, the time span of the model was set to be 3 years. The locations of biomass feedstock, biofuel factories and markets were considered as decision variables in the model. The non-linear objective functions were transformed into linear constraints by using the ε-constraint method. After that, the model was solved as a MILP problem. A surface of the Pareto optimal solutions was obtained by linearly interpolating the non-inferior solutions. The surface revealed the tradeoff among 3E objectives. In the case study, this model was used to design an experimental biofuel supply chain for China.

Key words: multi-period supply chain, biofuel, LCA, supply chain model, multi-objective optimization

CLC Number: 

  • TQ021.8
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