See, for example, the book Kolker, A., "Healthcare Management Engineering. What Does This Fancy Term Really Mean?", Springer, 2012. This book's much expanded and updated 2nd Edition will be published in early 2024.

Any one (all of the methods) of the research techniques described in chapters 3-to-20 (or, to-28) in the book

"Introduction to operations research" by Frederick S. Hillier, Stanford University, Gerald J. Lieberman, late, of Stanford University.—11th ed., 2021

Preface_Hillier_Intro_Operations_Research_11e.pdf (mheducation.com)

https://info.mheducation.com/rs/128-SJW-347/images/Preface_Hillier_Intro_Operations_Research_11e.pdf

The scope of management science can generally be defined as a systematic way of developing managerial decisions for efficient leveraging and allocating material, human, and financial resources needed for achieving an organization's performance goals using mathematical analytic and computer simulation models. The term 'management science' is practically equivalent to the terms 'operations research', 'system engineering', 'industrial engineering', 'operations management', or 'management engineering'. All these terms have a similar meaning.

In reality no single research approach for management science can be levelled to be the best approach. In fact a good research approach is one which can answer all your question to the related topic. it should be user-friendly and replicable. Therefore, first let you first disclose your research question and objective, without bothering any thing. Please remember, learning is continuous process.

Frequently used in management science:

1. Quantitative Research: It involves surveys, experiments, statistical analysis, and mathematical modeling.

2. Qualitative Research: It involves methods such as interviews, observations, case studies, and content analysis.

3. Mixed Methods Research: It involves collecting and analyzing both numerical and textual data and can provide a more holistic perspective on the research question.

4. Action Research: It involves iterative cycles of problem identification, data collection, analysis, and intervention. Action research aims to generate practical solutions and improve organizational practices.

5. Experimental Research: It involves manipulating variables and observing their effects on outcomes in controlled settings.

6. Case Study Research: It involves an in-depth investigation of a specific organization, event, or phenomenon. It typically uses multiple sources of data and relies on qualitative analysis techniques. Case studies are useful for exploring complex and context-dependent phenomena and generating rich descriptions.

Hope it helps