Abstract

The increase in domestic transportation in developing countries may adversely affect the energy efficiency of road transportation due to effective productivity and carbon dioxide emissions (CO2). When evaluating quantitatively the countries on the efficiency frontier, poor efficiency can still be seen sometimes due to the slack available in undesirable output measures. This paper uses desirable and undesirable output variables, such as passenger-kilometers (PKM), tones-kilometers (TKM), and carbon dioxide (CO2), to compute the weakly efficient decision-making units (DMUs). The data envelopment analysis (DEA) technology is used to assess the efficiencies of the decision-making units (DMUs), which are countries in our case. Then, the trade-off method with efficient binding surfaces is used to attain the optimal efficiencies of the weakly efficient DMUs. The marginal rates aid this trade-off analysis. Resultantly, such marginal trade-offs do not deteriorate the efficiency of the DMUs below the frontier line. We calculate the maximum change (margin) in a specific variable amount when another variable’s amount is changed. Thus, such a computation gives us different margins, with which each output variable can be a traded off to bring a DMU further toward the closest optimal point possible. The marginal trade-off can help the managers and policymakers in effective decision-making, and it is further recommended to address efficiency damages (by the undesired outputs).

Highlights

  • The improvement of transportation is most effectively judged by its energy consumption and productivity [1]

  • The marginal trade-off method between desired and undesired outputs is applied considering the ideal marginal range. This method is similar to what was proposed by Mirzaei et al [15] and has been involved in the field of hydroelectric power plants. Such a marginal trade-off must make a decision-making units (DMUs) achieving the optimal efficiency at the efficient frontier

  • The first part validates our contribution to the existing literature of transportation energy efficiency, whereas the second part assesses the best fit of the Data envelopment analysis (DEA) model for the quantitative trade-offs

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Summary

Introduction

The improvement of transportation is most effectively judged by its energy consumption and productivity (i.e., passengers-kilometer and tone-kilometer) [1]. This article contributes to the existing literature in two ways It fills the gap in transportation energy efficiency by using effective marginal values to perform quantitative trade-offs. The marginal trade-off method between desired and undesired outputs is applied considering the ideal marginal range This method is similar to what was proposed by Mirzaei et al [15] and has been involved in the field of hydroelectric power plants. Such a marginal trade-off must make a DMU achieving the optimal efficiency at the efficient frontier.

Literature Review
Trade-Off Methods for Transportation Energy Efficiency
Computational Difficulties in Trade-Off Analysis Using DEA
Basic Model for Trade-Off Balances
Use of the Marginal Rates
Illustrative Example with the Simple Data Set
Trade-Offs with Desirable and Undesirable Outputs
Application of the Model in the Real World
Efficiency Measuring Variables
Results and Discussion
Trade-off response to to bad bad output output CO
Conclusions
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