Data envelopment analysis of systems with multiple modes of functioning

Abstract

Many systems can operate in different modes of functioning. Conventional Data Envelopment Analysis (DEA) would ignore that fact and consider instead that the system is a black box, paying attention just to the overall input consumption and output production. In this paper a more fine-grained approach is proposed consisting of explicitly modelling the different modes of functioning as specific processes and using the observed data on the input consumption and output production in each of the modes of functioning to infer the corresponding modespecific technology. The system technology results from composing these mode-specific technologies according to the corresponding time allocations. The proposed approach allows computing efficient operating points for every mode of functioning, looking for improvements in the overall system performance. Two efficiency assessment DEA models are presented depending on whether the observed time allocation is maintained or the model is free to modify it.

Assessing Offensive/Defensive Strategies in a Football Match Using DEA

“…Also, the inputs and outputs involved when the team attacks are different from the inputs and outputs to be considered when the team defends. To deal with this situation, we propose using the MMF DEA approach used by Lozano and Villa (2016). This approach allows measuring the offensive and defensive efficiencies of a team in a given match and computing targets for the number of goals scored and against.…”

“…Recently, Lozano and Villa (2016) proposed a DEA approach to model situations in which the system can operate in one of the MMF. In this section, we present the application of the MMF DEA approach to the case of a football team playing a given match.…”

“…Thus, we aim to assess the efficiency of the offensive/defensive strategies of each team. Moreover, we propose a novel DEA approach recently used in Lozano and Villa (2016) and Lozano et al (2017) for systems with multiple modes of functioning (MMF). The working of that type of system results from the interplay of different subprocesses.…”