An Optimization Model of Sugarcane Harvesting with Fixed and Variable Costs Approximated by Fourier and Cubic Functions

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Transactions on Engineering Technologies (IMECS 2018)

Abstract

In this chapter, bi-objective optimization is used to find optimal policies for harvesting of sugarcane in Thailand in order to maximize revenue and minimize gathering cost for sugarcane farmers. In Thailand, the government determines the sugarcane price paid to farmers. This price is based on weight and sweetness of cane at time of cutting. The gathering cost is separated into two parts: a fixed cost and a variable cost. The fixed cost consists of a cost of cutting of the cane and of transport of the cane to a sugar mill. The variable cost consists of maintenance and fuel costs associated with the amount of sugarcane remaining on the farms. The \(\varepsilon \)-constraints method is applied to solve the bi-objective mathematical model to obtain optimal harvesting policies for sugarcane farmers in the four main sugarcane-producing regions of Thailand for crop years 2012/13, 2013/14 and 2014/15. The optimal profits and harvesting policies are compared with the actual profits and harvesting policies for the four regions of Thailand for the three crop years.

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References

  1. NaRanong, V., et al.: A study to reform the structure of Thailand’s sugar and cane industry. Thailand Development Research Institute (2013). https://tdri.or.th/2015/06/structural-change-sugar-cane-industry/. Accessed 12 Oct 2018

  2. NaRanong, V.: Proposed reforms in the structure of Thailand’s sugar and cane industry. TDRI Q. Rev. 28, 6–8 (2013)

    Google Scholar 

  3. Gomes, F.R.A.: Bi-objective mathematical model for choosing sugarcane varieties with harvest residual biomass in energy cogeneration. Int. J. Agric. Biol. Eng. 5(3), 50–58 (2012)

    Google Scholar 

  4. Yano, H., Matsui, K.: Random fuzzy multiobjective linear programming through probability maximization and its application to farm planning. IAENG Int. J. Appl. Math. 43(2), 87–93 (2013)

    MathSciNet  Google Scholar 

  5. Sungnul, S., Pornprakun, W., Prasattong, S., Baitiang, C.: Optimal time of sugarcane harvesting for sugar factories in Thailand. In: ICMA-MU 2016 Book on the Conference Proceedings: International Conference in Mathematics and Applications, pp. 185–194 (2016)

    Google Scholar 

  6. Sungnul, S., Pornprakun, W., Prasattong, S., Baitiang, C.: Multi-objective mathematical model for the optimal time to harvest sugarcane. Appl. Math. Sci. Res. Publishing 8, 329–343 (2017)

    MATH  Google Scholar 

  7. Pornprakun, W., Sungnul, S., Kiataramkul, C., Moore, E.J.: Bi-objective optimization model for harvesting of sugarcane with fixed and variable costs of harvesting. In: Lecture Notes in Engineering and Computer Science: Proceedings of The International MultiConference of Engineers and Computer Scientists 2018, pp. 876–879, 14–16 March 2018, Hong Kong (2018)

    Google Scholar 

  8. Deb, K.: Multi-Objective Optimization using Evolutionary Algorithms, 1st edn. Wiley, Chichester (2001)

    MATH  Google Scholar 

  9. Office of the Cane and Sugar Board, Royal Thai government. http://www.ocsb.go.th/. Accessed 12 May 2016

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Acknowledgements

This research is supported by the Centre of Excellence in Mathematics, the Commission on Higher Education, Thailand. W. Pornprakun would also like to express her sincere thanks to the Department of Mathematics, King Mongkut’s University of Technology North Bangkok for supporting her to do this research.

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Correspondence to Wisanlaya Pornprakun .

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Pornprakun, W., Sungnul, S., Kiataramkul, C., Moore, E.J. (2020). An Optimization Model of Sugarcane Harvesting with Fixed and Variable Costs Approximated by Fourier and Cubic Functions. In: Ao, SI., Kim, H., Castillo, O., Chan, As., Katagiri, H. (eds) Transactions on Engineering Technologies. IMECS 2018. Springer, Singapore. https://doi.org/10.1007/978-981-32-9808-8_27

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