A two-stage chance-constrained stochastic programming model for a bio-fuel supply chain network

Network design and technology management for waste to energy production: An integrated optimization framework under the principles of circular economy

“…The methodology combines fuzzy set theory and goal programming, which are rarely used methods in bioenergy supply chain design studies, although they are effective approaches to solve multi-objective optimization problems in an uncertain environment allowing prioritization of different objectives according to decision makers' preferences to provide economic and environmental insights. There are other widely used approaches to solve problems in an uncertain environment like Stochastic Programming (SP) or Robust Optimization (RO) (Quddus et al, 2018;Shabani and Sowlati, 2016;Azadeh et al, 2014;Zamar et al, 2015;Mohseni and Pishvaee, 2016). SP is an approach for modelling optimization problems when the parameters are uncertain, but assumed to lie in some given set of possible values…”

Multi-stage distributionally robust optimization with risk aversion

“…The TSDRO model can be naturally extended to a multi-stage case. The formula of the last stage of multi-stage distributionally robust optimization is the same as (37)- (38). At stage t = 2, ..., T −1, the recursive forms of the distributionally robust optimization with risk aversion are…”

“…Two-stage and multi-stage stochastic programming problems have been widely studied in recent decades. A large number of significant applications have been found in different fields, such as financial planning ( [29,10]), supply chain management ( [45,47,32,41,38,25,37]), multi-activity tour scheduling ( [36,40]), signal processing ( [20,21]) and pre-positioning of emergency supplies ( [39]), etc. A two-stage stochastic linear programming model can be formulated as follows (see [46,8]), min…”

Designing a Reliable and Congested Multi-Modal Facility Location Problem for Biofuel Supply Chain Network

“…We used existing multi-modal and inter-modal facilities as potential multi-modal facilities. The potential biorefinery locations are selected based on the prior literatures applied to our test region ( [37,38]). Figure 3b shows the locations and distribution of potential multi-modal facilities and biorefineries in this region.…”

“…Please note that the biofuel supply chain system from biomass production to bio-refineries can be viewed as a hub-and-spoke transportation network. Please note that most of the prior studies (e.g., [34][35][36][37][38][39][40]) assume that the transportation hubs are always functioning and will never fail, which cannot adequately describe the real-world scenarios. A few studies focus on managing and rescheduling rail and port operations during different disrupted scenarios (e.g., [41][42][43]).…”