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Life-cycle costing: Analysis of biofuel production systems  235


              1.2 Uncertainty in life-cycle costs
              These costs are based on predicted and actual assumptions. Many LCC stud-
              ies have assumed that all input parameters of the LCC model are determin-
              istic (Tang et al., 2015). However, LCC calculation could involve many
              uncertainties, even at the lowest level of fLCC. The methods to address
              them have yet to be developed systematically (Ilg et al., 2017) The problem
              is even more pronounced for prospective systems like proposed biofuel sys-
              tems using novel feedstocks which strongly affect the operating cost (Myint
              and El-Halwagi, 2009) or new process equipment that strongly affect the
              investment cost (Brownbridge et al., 2014). For novel processes under
              development, effects of technology maturity and scale-up are also difficult
              to gauge (Chan et al., 2018). Data is usually difficult to obtain because of
              corporate confidentiality concerns and they are also time sensitive.
              A good example of a time-sensitive parameter that strongly influences the
              LCC is interest rate. Since the randomness and the uncertainties behind
              these parameters are uncontrollable, there is a need to systematically assess
              the impacts of these parameters on the cost of the product.
                 There are many methods to assess the uncertainties in LCA or LCC
              including interval analysis (Chevalier and Le T eno, 1996), probabilistic
              (Kennedy et al., 1996), and fuzzy numbers methods (Tan, 2008). The uncer-
              tainty of single parameters and their effects on the final results can be assessed
              through sensitivity and matrix perturbation analysis (Heijungs, 2010). In
              Heijungs (1996), the key issues analysis method was used to guide improve-
              ments in data collection.
                 The simultaneous analysis of the effects of multiple parameters can be
              done via a method that has been traditionally used guiding experiments
              in the physical world: design of experiments (DOE). Long used for the anal-
              ysis of complex systems like those found in agriculture and other living sys-
              tems, DOE has also been used for designing computational experiments
              (Giunta et al., 2003). That is, DOE is used to guide how parameter values
              may be systematically varied such that the effects of individual parameters
              may be assessed simultaneously, the overall uncertainty may also be gauged.
              This is also known as global sensitivity analysis (GSA). Among the more
              popular alternative or competing methods is Monte Carlo simulation which
              has been used to determine lumped uncertainty in LCA (Ciroth et al., 2004).
              The Monte Carlo method, however, requires a large amount of calculation
              (Lloyd and Ries, 2008) although there have been algorithms proposed to
              reduce computational times (Peters, 2007). Other types of DOE are
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