Abstract
Guayule (Parthenium argentatum) is a perennial woody shrub native to the semi-arid region of northern Mexico and the Southwestern US regions, and it has great potential for the agricultural economy of these areas. In this paper, to address a demand-driven guayule harvest planning problem, we propose a mathematical optimization model for guayule harvest and machinery scheduling that maximize the economic benefits. The resulting model yields a large-scale mixed-integer linear optimization problem, considering time-window qualification, multi-machinery scheduling, resource limitations and late penalties for not harvesting on time, etc. Further, the optimization model is validated by some numerical results performing on 37 fields located in Pinal County, Arizona. The optimal scheduling routes are determined based on the Geographic Information System (GIS), and the harvesting cost breakdown for different demands is analyzed as well.







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References
McGinnies WG, Mills JL (1980) Guayule rubber production: the World War II emergency rubber project: a guide to future development. Office of Arid Lands Studies, University of Arizona, Tucson, AZ
Martin JA, Swiger DR (2003) Guayule natural rubber latex commercialization update. In: Annual Meeting of the Association for the Advancement of Industrial Crops, October 12–15
Ray DT, Coffelt TA, Dierig DA (2005) Breeding Guayule for commercial production. Ind Crop Prod 22(1):15–25
Zuniga Vazquez DA, Fan N, Teegerstrom T, Seavert C, Summers HM, Sproul E, Quinn JC (2021) Optimal production planning and machinery scheduling for semi-arid farms. Comput Electron Agric 187:106288
Ray DT (1993) Guayule: a source of natural rubber. New Crops 33843
Nakayama FS (1991) Influence of environment and management practices on rubber quantity and quality. Whitworth, JW, Whitehead, EE, Guayule Natural Rubber. Office of Ari Land Studies, University of Arizona, Tucson, AZ, pp 217–240
Nakayama FS, Bucks DA, Gonzalez CL, Foster MA (1991) Water and nutrient requirements of Guayule under irrigated and dryland production. In: Guayule Natural Rubber. Office of Arid Lands Studies Tucson, AZ, pp 145–172
Estilai A, Waines JG (1987) Variation in regrowth and its implications for multiple harvest of Guayule. Crop Sci 27(1):100–103
Cornish K, Chapman MH, Brichta JL, Vinyard SH, Nakayama FS (2000) Post-harvest stability of Latex in different sizes of Guayule branches. Ind Crop Prod 12(1):25–32
McMahan CM, Cornish K, Coffelt TA, Nakayama FS, McCoy RG III, Brichta JL, Ray DT (2006) Post-harvest storage effects on Guayule Latex quality from agronomic trials. Ind Crop Prod 24(3):321–328
Coffelt TA, Nakayama FS, Ray DT, Cornish K, McMahan CM (2009) Post-harvest storage effects on Guayule Latex, rubber, and resin contents and yields. Ind Crop Prod 29(2–3):326–335
Bedane GM, Gupta ML, George DL (2008) Development and evaluation of a Guayule seed harvester. Ind Crop Prod 28(2):177–183
Bedane GM, Gupta ML, George DL (2006) Optimum harvest maturity for guayule seed. Ind Crop Prod 24(1):26–33
Coffelt TA, Nakayama FS (2010) Determining optimum harvest time for Guayule Latex and biomass. Ind Crop Prod 31(1):131–133
Sun Ou, Fan N (2020) A review on optimization methods for biomass supply chain: models and algorithms, sustainable issues, and challenges and opportunities. Process Integr Optim Sustain 4(3):203–226
O’Hara AJ, Faaland BH, Bare BB (1989) Spatially constrained timber harvest scheduling. Can J For Res 19(6):715–724
Murray AT, Church RL (1995) Heuristic solution approaches to operational forest planning problems. Operations-Research-Spektrum 17(2):193–203
McDill ME, Rebain SA, Braze J (2002) Harvest scheduling with area-based adjacency constraints. For Sci 48(4):631–642
Gunn EA, Richards EW (2005) Solving the adjacency problem with stand-centred constraints. Can J For Res 35(4):832–842
Lockwood C, Moore T (1993) Harvest scheduling with spatial constraints: a simulated annealing approach. Can J For Res 23(3):468–478
Caro F, Constantino M, Martins I, Weintraub A (2003) A 2-opt tabu search procedure for the multiperiod forest harvesting problem with adjacency, greenup, old growth, and even flow constraints. For Sci 49(5):738–751
Liu G, Han S, Zhao X, Nelson JD, Wang H, Wang W (2006) Optimisation algorithms for spatially constrained forest planning. Ecol Model 194(4):421–428
Liu W-Y, Lin C-C (2015) Spatial forest resource planning using a cultural algorithm with problem-specific information. Environ Model Software 71:126–137
Jena SD, Poggi M (2013) Harvest planning in the Brazilian sugar cane industry via mixed integer programming. Eur J Oper Res 230(2):374–384
Bohle C, Maturana S, Vera J (2010) A robust optimization approach to wine grape harvesting scheduling. Eur J Oper Res 200(1):245–252
Ahumada O, Villalobos JR (2011) Operational model for planning the harvest and distribution of perishable agricultural products. Int J Prod Econ 133(2):677–687
Cerdeira-Pena A, Carpente L, Amiama C (2017) Optimised forage harvester routes as solutions to a traveling salesman problem with clusters and time windows. Biosyst Eng 164:110–123
Aguayo MM, Sarin SC, Cundiff JS, Comer K, Clark T (2017) A corn-stover harvest scheduling problem arising in cellulosic ethanol production. Biomass Bioenergy 107:102–112
Kusumastuti RD, Van Donk DP, Teunter R (2016) Crop-related harvesting and processing planning: a review. Int J Prod Econ 174:76–92
Taşkıner T, Bilgen B (2021) Optimization models for harvest and production planning in agri-food supply chain: a systematic review. Logistics 5(3):52
Arnaout J-PM, Maatouk M (2010) Optimization of quality and operational costs through improved scheduling of harvest operations. Int Trans Oper Res 17(5):595–605
Golenko-Ginzburg D, Sinuany-Stern Z, Kats V (1996) A multilevel decision-making system with multiple resources for controlling cotton harvesting. Int J Prod Econ 46:55–63
Caixeta-Filho JV, van Swaay-Neto JM, de Pádua Wagemaker A (2002) Optimization of the production planning and trade of lily flowers at Jan de wit company. Interfaces 32(1):35–46
Lodree EJ Jr, Uzochukwu BM (2008) Production planning for a deteriorating item with stochastic demand and consumer choice. Int J Prod Econ 116(2):219–232
Tan B, Çömden N (2012) Agricultural planning of annual plants under demand, maturation, harvest, and yield risk. Eur J Oper Res 220(2):539–549
Allen SJ, Schuster EW (2004) Controlling the risk for an agricultural harvest. Manuf Serv Oper Manag 6(3):225–236
Annetts JE, Audsley E (2002) Multiple objective linear programming for environmental farm planning. J Oper Res Soc 53(9):933–943
Zuniga Vazquez DA, Sun O, Fan N, Sproul E, Summers HM, Quinn JC, Khanal S, Gutierrez P, Mealing VA, Landis AE et al (2021) Integrating environmental and social impacts into optimal design of guayule and guar supply chains. Comput Chem Eng 146:107223
SBAR (2017) Sustainable bioeconomy for arid regions. project objectives. https://sbar.arizona.edu/our-goals/project-objectives. Accessed 11 Jul 2022
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This material is based upon funding provided by the USDA-NIFA, Grant No. 2017-68005-26867. Any opinions, findings, conclusions, or recommendations expressed in this publication/work are those of the authors and do not necessarily reflect the view of the U.S. Department of Agriculture.
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S.Y. and N.F. wrote the main manuscript text, while C.S. and T.T. provided relevant data and information for modeling and numerical experiments. All authors reviewed the manuscript.
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Yao, S., Fan, N., Seavert, C. et al. Demand-Driven Harvest Planning and Machinery Scheduling for Guayule. Oper. Res. Forum 4, 9 (2023). https://doi.org/10.1007/s43069-022-00192-2
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DOI: https://doi.org/10.1007/s43069-022-00192-2