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Purpose

The purpose of this paper is to highlight issues with current methodologies and rationales used to model the achievement of high business performance in operations management studies, particularly those dealing with the trade‐offs – cumulative capabilities concepts. The paper also attempts to provide solutions to these problems.

Design/methodology/approach

A conceptual approach and critique of previous methodologies and rationales is utilised. In particular, use is made of a “thought experiment” in order to illustrate the issues that need to be addressed.

Findings

Widely accepted approaches and rationales used to model the achievement of high levels of performance are limited. This is particularly true when more recent theoretical developments in the field are considered. Thus, more comprehensive methodologies, rationales and terminologies that resolve the identified difficulties are necessary. To address this issue, this paper offers a more holistic way to examine the relationships between two or more competitive criteria.

Practical implications

The main implications are related to research methodologies, rationales and approaches.

Originality/value

The paper makes two important and novel contributions to this area of research: it brings the attention to problems that have been largely ignored, and it provides solutions to these issues. The results should be of interest to researchers in the area of strategic/operations management, especially those interested in the modelling of high levels of firm performance, as represented by the trade‐offs and cumulative capabilities concepts.

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