A Bilevel Model for Robust Network Design and Biomass Pricing Under Farmers’ Risk Attitudes and Supply Uncertainty

References

• Aguayo MM, Sarin SC, Cundiff JS (2019) A branch-and-price approach for a biomass feedstock logistics supply chain design problem. IISE Trans 51(12):1348–1364.Crossref, Google Scholar
• 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(December):102–112.Crossref, Google Scholar
• Bai Y, Ouyang Y, Pang J (2012) Biofuel supply chain design under competitive agricultural land use and feedstock market equilibrium. Energy Econom. 34(5):1623–1633.Crossref, Google Scholar
• Bai Y, Hwang T, Kang S, Ouyang Y (2011) Biofuel refinery location and supply chain planning under traffic congestion. Transportation Res. Part B Methodological 45(1):162–175.Crossref, Google Scholar
• Bairamzadeh S, Saidi-Mehrabad M, Pishvaee MS (2018) Modelling different types of uncertainty in biofuel supply network design and planning: A robust optimization approach. Renewable Energy 116(February):500–517.Crossref, Google Scholar
• Bals B, Rogers C, Jin M, Balan V, Dale B (2010) Evaluation of ammonia fibre expansion (AFEX) pretreatment for enzymatic hydrolysis of switchgrass harvested in different seasons and locations. Biotechnology Biofuels 3(1):1.Crossref, Google Scholar
• Benders JF (1962) Partitioning procedures for solving mixed-variables programming problems. Numerische Mathematik 4(1):238–252.Crossref, Google Scholar
• Bertsimas D, Sim M (2004) The price of robustness. Oper. Res. 52(1):35–53.Link, Google Scholar
• Biotechnology Innovation Organization (2020) Energy in 2020: Assessing the economic effects of commercialization of cellulosic ethanol. Accessed June 30, 2023, https://archive.bio.org/articles/energy-2020-assessing-economic-effects-commercialization-cellulosic-ethanol.Google Scholar
• Cahil N, Popp M, West C, Rocateli A, Ashworth A, Farris R Sr, Dixon B (2014) Switchgrass harvest time effects on nutrient use and yield: An economic analysis. J. Agricultural Appl. Econom. 46(4):487–507.Google Scholar
• Castillo-Villar KK, Eksioglu S, Taherkhorsandi M (2017) Integrating biomass quality variability in stochastic supply chain modeling and optimization for large-scale biofuel production. J. Cleaner Production 149(April):904–918.Crossref, Google Scholar
• Chen C, Fan Y (2012) Bioethanol supply chain system planning under supply and demand uncertainties. Transportation Res. Part E Logist. Transportation Rev. 48(1):150–164.Crossref, Google Scholar
• Dalal J, Üster H (2018) Combining worst case and average case considerations in an integrated emergency response network design problem. Transportation Sci. 52(1):171–188.Link, Google Scholar
• Ebadian M, Sowlati T, Sokhansanj S, Townley-Smith L, Stumborg M (2013) Modeling and analysing storage systems in agricultural biomass supply chain for cellulosic ethanol production. Appl. Energy 102(February):840–849.Crossref, Google Scholar
• Ekşioğlu SD, Acharya A, Leightley LE, Arora S (2009) Analyzing the design and management of biomass-to-biorefinery supply chain. Comput. Indust. Engrg. 57(4):1342–1352.Crossref, Google Scholar
• Environmental Protection Agency (2020) Renewable fuel standard (RFS). Accessed June 30, 2023, https://www.epa.gov/renewable-fuel-standard-program/final-renewable-fuel-standards-2020-and-biomass-based-diesel-volume.Google Scholar
• Fike JH, Parrish DJ, Wolf DD, Balasko JA, Green JT Jr, Rasnake M, Reynolds JH (2006) Switchgrass production for the upper southeastern USA: Influence of cultivar and cutting frequency on biomass yields. Biomass Bioenergy 30(3):207–213.Crossref, Google Scholar
• Fischetti M, Salvagnin D (2010) An in-out approach to disjunctive optimization. Lodi A, Milano M, Toth P, eds. Integration of AI and OR Techniques in Constraint Programming for Combinatorial Optimization Problems. CPAIOR 2010. Lecture Notes in Computer Science, vol. 6140 (Springer, Berlin, Heidelberg). https://doi.org/10.1007/978-3-642-13520-0_17.Google Scholar
• Fischetti M, Ljubić I, Sinnl M (2016) Benders decomposition without separability: A computational study for capacitated facility location problems. Eur. J. Oper. Res. 253(3):557–569.Crossref, Google Scholar
• Fischetti M, Ljubić I, Sinnl M (2017) Redesigning benders decomposition for large-scale facility location. Management Sci. 63(7):2146–2162.Link, Google Scholar
• Gold S, Seuring S (2011) Supply chain and logistics issues of bio-energy production. J. Cleaner Production 19(1):32–42.Crossref, Google Scholar
• Hombach LE, Büsing C, Walther G (2018) Robust and sustainable supply chains under market uncertainties and different risk attitudes: A case study of the German biodiesel market. Eur. J. Oper. Res. 269(1):302–312.Crossref, Google Scholar
• Huang Y, Fan Y, Chen C (2014) An integrated biofuel supply chain to cope with feedstock seasonality and uncertainty. Transportation Sci. 48(4):540–554.Link, Google Scholar
• Jensen K, Clark CD, Ellis P, English B, Menard J, Walsh M, de la Torre Ugarte D (2007) Farmer willingness to grow switchgrass for energy production. Biomass Bioenergy 31(11–12):773–781.Crossref, Google Scholar
• Jeroslow RG (1985) The polynomial hierarchy and a simple model for competitive analysis. Math. Programming 32(2):146–164.Crossref, Google Scholar
• Kelley JJE (1960) The cutting-plane method for solving convex programs. J. Soc. Indust. Appl. Math. 8(4):703–712.Crossref, Google Scholar
• Larson JA, Yu TE, English BC, Jensen KL, Gao Y, Wang C (2015) Effect of outdoor storage losses on feedstock inventory management and plant-gate cost for a switchgrass conversion facility in east Tennessee. Renewable Energy 74(February):803–814.Crossref, Google Scholar
• Magnanti TL, Wong RT (1981) Accelerating benders decomposition: Algorithmic enhancement and model selection criteria. Oper. Res. 29(3):464–484.Link, Google Scholar
• Malladi KT, Sowlati T (2018) Biomass logistics: A review of important features, optimization modeling and the new trends. Renewable Sustainable Energy Rev. 94(October):587–599.Crossref, Google Scholar
• Marufuzzaman M, Ekşioğlu SD (2017a) Designing a reliable and dynamic multimodal transportation network for biofuel supply chains. Transportation Sci. 51(2):494–517.Link, Google Scholar
• Marufuzzaman M, Ekşioğlu SD (2017b) Managing congestion in supply chains via dynamic freight routing: An application in the biomass supply chain. Transportation Res. Part E Logist. Transportation Rev. 99(March):54–76.Crossref, Google Scholar
• Marufuzzaman M, Eksioglu S, Huang YE (2014) Two-stage stochastic programming supply chain model for biodiesel production via wastewater treatment. Comput. Oper. Res. 49(September):1–17.Crossref, Google Scholar
• McLaughlin SB, Kszos LA (2005) Development of switchgrass (Panicum virgatum) as a bioenergy feedstock in the United States. Biomass Bioenergy 28(6):515–535.Crossref, Google Scholar
• Memişoğlu G, Üster H (2016) Integrated bioenergy supply chain network planning problem. Transportation Sci. 50(1):35–56.Link, Google Scholar
• Mitchell R, Vogel KP, Uden DR (2012) The feasibility of switchgrass for biofuel production. Biofuels 3(1):47–59.Crossref, Google Scholar
• Mohseni S, Pishvaee MS (2016) A robust programming approach toward design and optimization of microalgae-based biofuel supply chain. Comput. Indust. Engrg. 100(October):58–71.Crossref, Google Scholar
• Monti A (2012) Switchgrass: A Valuable Biomass Crop for Energy (Springer Science & Business Media, New York).Crossref, Google Scholar
• Mooney DF, Larson JA, English BC, Tyler DD (2012) Effect of dry matter loss on profitability of outdoor storage of switchgrass. Biomass Bioenergy 44(September):33–41.Crossref, Google Scholar
• Nunes L, Causer T, Ciolkosz D (2020) Biomass for energy: A review on supply chain management models. Renewable Sustainable Energy Rev. 120(March):109658.Crossref, Google Scholar
• Nur F, Aboytes-Ojeda M, Castillo-Villar KK, Roni MS (2021) A two-stage stochastic programming model for biofuel supply chain network design with biomass quality implications. IISE Trans. 53(8):845–868.Crossref, Google Scholar
• Parrish DJ, Fike JH (2005) The biology and agronomy of switchgrass for biofuels. Critical Rev. Plant Sci. 24(5–6):423–459.Crossref, Google Scholar
• Sokhansanj S, Mani S, Turhollow A, Kumar A, Bransby D, Lynd L, Laser M (2009) Large-scale production, harvest and logistics of switchgrass (Panicum virgatum L.): Current technology and envisioning a mature technology. Biofuels Bioproducts Biorefining 3(2):124–141.Crossref, Google Scholar
• Texas A&M Agrilife Extension (2020) Extension agricultural economics. Accessed June 30, 2023, http://agecoext.tamu.edu/resources/crop-livestock-budgets/by-commodity/.Google Scholar
• Thomason W, Raun W, Johnson G, Taliaferro C, Freeman K, Wynn K, Mullen R (2005) Switchgrass response to harvest frequency and time and rate of applied nitrogen. J. Plant Nutrition 27(7):1199–1226.Crossref, Google Scholar
• Üster H, Agrahari H (2011) A Benders decomposition approach for a distribution network design problem with consolidation and capacity considerations. Oper. Res. Lett. 39(2):138–143.Crossref, Google Scholar
• Üster H, Memişoğlu G (2018) Biomass logistics network design under price-based supply and yield uncertainty. Transportation Sci. 52(2):474–492.Link, Google Scholar
• Van Roy TJ (1986) A cross decomposition algorithm for capacitated facility location. Oper. Res. 34(1):145–163.Link, Google Scholar
• Yue D, You F (2014) Game-theoretic modeling and optimization of multi-echelon supply chain design and operation under Stackelberg game and market equilibrium. Comput. Chemical Engrg. 71(December):347–361.Crossref, Google Scholar
• Yue D, You F, Snyder SW (2014) Biomass-to-bioenergy and biofuel supply chain optimization: Overview, key issues and challenges. Comput. Chemical Engrg. 66(July):36–56.Crossref, Google Scholar
• Zahraee SM, Shiwakoti N, Stasinopoulos P (2020) Biomass supply chain environmental and socio-economic analysis: 40-years comprehensive review of methods, decision issues, sustainability challenges, and the way forward. Biomass Bioenergy 142(November):105777.Crossref, Google Scholar
• Zamar DS, Gopaluni B, Sokhansanj S (2017) Optimization of sawmill residues collection for bioenergy production. Appl. Energy 202(September):487–495.Crossref, Google Scholar
• Zeng B, An Y (2014) Solving bilevel mixed integer program by reformulations and decomposition. Technical report, University of South Florida, Tampa, FL. Accessed June 30, 2023, https://optimization-online.org/?p=12967.Google Scholar
• Zhang F, Johnson DM, Wang J (2016) Integrating multimodal transport into forest-delivered biofuel supply chain design. Renewable Energy 93(August):58–67.Crossref, Google Scholar