In the past decade, the petroleum industry has faced two significant oil price crashes. The first occurred in 2014, driven by increased U.S. production, geopolitical shifts, and changes in OPEC policies. The more recent crash in 2020 was a consequence of the COVID-19 pandemic. Despite these secondary factors, industry experts widely attribute both crashes to excessive crude oil production. Considering this and aiming to prevent recurrences of unexpected price crashes in the future, this paper proposes a novel application of inverse DEA for optimizing OPEC production quotas. In this study, two versions of the inverse DEA are proposed − unbounded and bounded. Essentially, the unbounded model computes theoretical estimates of production quotas, while the bounded model computes practical estimates. To illustrate the applicability of the proposed models, a numerical real-world example is presented in OPEC member nations. Based on a preliminary analysis, only Algeria, Libya, Nigeria, and Venezuela were eligible for production allocations. The application of the unbounded model revealed all four nations were capable of maxing out their production quotas. For practical reasons, and in order to ensure market stability, the bounded model found out that only Libya could potentially receive a maximum allocation of 7.71%. This translates to an increase of 93 thousand barrels of oil per day for Libya. The bounded model not only averted excessive crude oil production but also curtailed hazardous waste associated with increased oil production, resulting in significant positive effects in both Libya and Venezuela. According to our findings, the unbounded model is appropriate for theoretical analysis, while the bounded model is suitable for regulatory bodies such as OPEC.
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