Back of the envelope Calculations

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High-level Design Overview

Back-of-the-envelope calculations are quick, approximate computations used in system design to estimate the scale and requirements of a system. These calculations help engineers make informed decisions about architecture, resource allocation, and potential bottlenecks early in the design process. By providing rough estimates of key metrics such as storage needs, network bandwidth, and processing power, back-of-the-envelope calculations serve as a crucial tool in the initial stages of system design.

Detailed Explanation of System Components and Interactions

The process of performing back-of-the-envelope calculations involves several interconnected components:

  1. Requirements Gathering: This component involves collecting and analyzing the basic requirements of the system, such as the number of users, expected traffic, and data storage needs.

  2. Metric Identification: Here, we identify the key metrics that need to be estimated, such as queries per second (QPS), storage capacity, network bandwidth, and cache size.

  3. Estimation Engine: This core component performs the actual calculations based on the gathered requirements and identified metrics. It uses simplified mathematical models and rules of thumb to produce rough estimates.

  4. Assumptions Management: This component keeps track of the assumptions made during the calculation process. It's crucial for maintaining transparency and allowing for quick adjustments if assumptions change.

  5. Scale Factors: This component manages the scale factors used in calculations, such as daily active users (DAU), peak-to-average ratios, and growth projections.

  6. Unit Conversion: This utility component handles conversions between different units of measurement (e.g., converting bytes to gigabytes, or seconds to years) to ensure consistency in calculations.

  7. Result Presentation: This component formats and presents the calculation results in a clear and understandable manner, often including order-of-magnitude estimates.

These components interact in a sequential flow, starting with requirements gathering and ending with result presentation. However, the process is often iterative, with results from one calculation informing the inputs or assumptions of another.

Lets Design this process 🤓

Adjust

Finalize

Requirements Gathering

Metric Identification

Estimation Engine

Assumptions Management

Scale Factors

Unit Conversion

Result Presentation

Review and Iterate

Final Estimates