The conventional Malmquist productivity index (MPI) measures the performance improvement of a production system between two periods, where the system is treated as a black box, ignoring the internal operations of the component processes. Based on a relational model of the data envelopment analysis (DEA) for measuring the system and process efficiencies, this paper develops a methodology for calculating the system and process MPIs in one model. Moreover, relationships between the system and process MPIs are derived. By defining the ratio of the inefficiencies of a unit in two periods as complementary MPIs, this paper finds that the system complementary MPI is a linear combination of the process complementary MPIs, and the former is also close to a weighted average of the latter. Knowing the relationship between the system and process MPIs helps identify the processes that deter the improvement of the system; amendments to them will improve the system performance in the future.
|Number of pages||12|
|Journal||CEUR Workshop Proceedings|
|Publication status||Published - 2016|
All Science Journal Classification (ASJC) codes
- Computer Science(all)