Abstract

Afsharian et al. proposed a metafrontier-based group performance evaluation model under centralised management scenario. Their model is a mixed integer linear programming model under constant returns to scale. Their model suffers from infeasibility when variable returns to scale is assumed. We convert their model into an equivalent linear programming model under constant returns to scale. We extend the linear programming model to variable returns to scale and resolve the infeasibility. Models for centralised and decentralised scenarios are proposed in current paper. An example of a maritime carrier is introduced to demonstrate how the models proposed can be used to investigate the influence of the decision on joining maritime alliance on the performance of a carrier. Another example of solar industry is introduced to illustrate the application of the decentralised model in measuring the technology gap ratio.

摘要

阿夫沙里安等人。提出了集中管理场景下基于元前沿的群体绩效评价模型。他们的模型是规模收益不变的混合整数线性规划模型。当假设规模收益可变时，他们的模型会遇到不可行的问题。我们将他们的模型转换为规模收益不变的等效线性规划模型。我们将线性规划模型扩展到可变规模收益并解决了不可行性问题。当前论文提出了集中式和分散式场景的模型。引入了一个海运承运人的例子来说明所提出的模型如何用于研究加入海运联盟的决定对承运人绩效的影响。