Abstract

Coal is the second-largest source for electricity generation in the United States. However, the burning of coal produces dangerous gas emissions, such as carbon dioxide and Green House Gas (GHG) emissions. One alternative to decrease these emissions is biomass co-firing. To establish biomass as a viable option, the optimization of the biomass supply chain (BSC) is essential. Although most of the research conducted has focused on optimization models, the purpose of this paper is to incorporate machine-learning (ML) algorithms into a stochastic Mixed-Integer Linear Programming (MILP) model to select potential storage depot locations and improve the solution in two ways: by decreasing the total cost of the BSC and the computational burden. We consider the level of moisture and level of ash in the biomass from each parcel location, the average expected biomass yield, and the distance from each parcel to the closest power plant. The training labels (whether a potential depot location is beneficial or not) are obtained through the stochastic MILP model. Multiple ML algorithms are applied to a case study in the northeast area of the United States: Logistic Regression (LR), Decision Tree (DT), Random Forest (RF), and Multi-Layer Perceptron (MLP) Neural Network. After applying the hybrid methodology combining ML and optimization, it is found that the MLP outperforms the other algorithms in terms of selecting potential depots that decrease the total cost of the BSC and the computational burden of the stochastic MILP model. The LR and the DT also perform well in terms of decreasing total cost.

Highlights

  • In 2019, coal was the second-largest energy source for electricity generation in the United States, with coal-fueled power plants representing 23% of all electricity sources in the country [1], and 38%worldwide [2]

  • After applying the hybrid methodology combining ML and optimization, it is found that the Multi-Layer Perceptron (MLP) outperforms the other algorithms in terms of selecting potential depots that decrease the total cost of the biomass supply chain (BSC) and the computational burden of the stochastic Mixed-Integer Linear Programming (MILP) model

  • We demonstrated that the application of ML techniques coupled with stochastic MILP

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Summary

Introduction

In 2019, coal was the second-largest energy source for electricity generation in the United States, with coal-fueled power plants representing 23% of all electricity sources in the country [1], and 38%worldwide [2]. The burning of coal generates dangerous gas emissions, such as carbon dioxide, which is a contributor to Green House Gas (GHG) emissions; sulfur dioxide, which increases acid rain and respiratory illnesses; nitrogen oxides, which cause respiratory illnesses and smog; and mercury, which is connected to neurological damage in humans and other animals [3]. An alternative to coal combustion is the use of biomass. An advantage of biomass co-firing is the reduction of emissions of both carbon dioxide and sulfur dioxide caused by coal combustion [5]. Once the function is obtained, the first step to classify a new unlabeled observation is to calculate its probability of belonging to each of the two classes [19]. Since the objective is to calculate probabilities, we use the Sigmoid function

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