MULTIDIMENSIONAL

Multidimensional Models: A Comprehensive Review

Abstract
Multidimensional models are a powerful class of models used in scientific research, business intelligence, and decision making. This paper provides a comprehensive review of multidimensional models, including their theory, applications, and advantages and disadvantages. The review begins by providing an overview of multidimensional models, including their history and use in various fields. We then discuss the theoretical foundations of multidimensional models, including their use in data mining and knowledge discovery. The paper then provides an overview of the different types of multidimensional models, including cube-based models, star schemas, and snowflakes. We also review the advantages and disadvantages of each model and discuss how they can be used in different applications. Finally, we provide a brief conclusion summarizing the review.

Keywords: multidimensional models, data mining, knowledge discovery, cube-based models, star schemas, snowflakes

Introduction
Multidimensional models are a powerful class of models used in a variety of fields, including scientific research, business intelligence, and decision making. Multidimensional models are used to extract and analyze data from multiple sources, providing insights and enabling the formulation of better decisions. They are often used in data mining and knowledge discovery tasks, as they allow for the extraction of meaningful patterns from large datasets. This paper provides a comprehensive review of multidimensional models, including their theory, applications, and advantages and disadvantages.

History and Use of Multidimensional Models
Multidimensional models have been used in various fields for many years. In business intelligence, they are used to analyze sales and financial data, allowing for the formulation of better decisions. In scientific research, they are used to extract and analyze data from multiple sources. They are also used in data mining and knowledge discovery, as they allow for the extraction of meaningful patterns from large datasets.

Theoretical Foundations
The theoretical foundations of multidimensional models are based on the concept of multidimensional data structures. These data structures are composed of multiple dimensions, which can represent different attributes or entities. The data is then organized into cubes or other multidimensional structures, which can be used to analyze relationships between the different dimensions.

Types of Multidimensional Models
There are several types of multidimensional models, including cube-based models, star schemas, and snowflakes. Cube-based models are a type of multidimensional model that uses cubes to represent the data. Each cube is composed of multiple dimensions, which can be used to analyze relationships between the different dimensions. Star schemas are another type of multidimensional model, which uses a star-shaped structure to represent the data. Finally, snowflakes are a type of multidimensional model that uses a snowflake-shaped structure to represent the data.

Advantages and Disadvantages
Each type of multidimensional model has its own advantages and disadvantages. Cube-based models are the most popular type of multidimensional model, as they allow for the analysis of relationships between different dimensions. However, they can be complex to construct and may require a large amount of data. Star schemas are simpler to construct than cube-based models, but they are less powerful in terms of analyzing relationships. Snowflakes are the simplest type of multidimensional model, but they are not as powerful as cube-based models or star schemas.

Applications
Multidimensional models are used in a variety of applications, including business intelligence, scientific research, and data mining and knowledge discovery. In business intelligence, they are used to analyze sales and financial data, allowing for the formulation of better decisions. In scientific research, they are used to extract and analyze data from multiple sources. In data mining and knowledge discovery, they are used to extract meaningful patterns from large datasets.

Conclusion
Multidimensional models are a powerful class of models used in various fields, including scientific research, business intelligence, and decision making. This paper provided a comprehensive review of multidimensional models, including their theory, applications, and advantages and disadvantages. We discussed the different types of multidimensional models, including cube-based models, star schemas, and snowflakes. We also discussed the advantages and disadvantages of each model and how they can be used in different applications.

References
Berson, A., Smith, S. J., & Thearling, K. (1995). Building data mining applications for CRM. New York, NY: McGraw-Hill.

Chaudhuri, S., & Dayal, U. (1997). An overview of data warehousing and OLAP technology. ACM SIGMOD Record, 26(1), 65-74.

Chen, H. (1996). Multidimensional databases: problems and solutions. IEEE Transactions on Knowledge and Data Engineering, 8(3), 422-433.

Han, J., & Kamber, M. (2006). Data mining: concepts and techniques. San Francisco, CA: Morgan Kaufmann.

Kimball, R., & Ross, M. (2013). The data warehouse toolkit: The complete guide to dimensional modeling. Indianapolis, IN: Wiley.

Scroll to Top