Математика в HOI4 | Как правильно строить промышленность

Summary

In this detailed video, the content creator, a CSGO YouTuber named Egor, delves into the mechanics of construction in the game Hearts of Iron IV. The focus is on optimizing the construction of factories and military factories. Egor explains how to determine the ideal time to transition from building civilian factories to military ones, using mathematical formulas based on game mechanics. He further illustrates the process through an Excel model, testing his theory with France. The result shows how his strategy accurately predicts building the maximum number of military factories by the start of WWII, providing a practical guide for strategic players.

Takeaways

• 😀 The script discusses the importance of factory construction in 'Hearts of Iron IV' (HoI4), focusing on the two main types of buildings: civilian factories and military factories.
• 😀 Civilian factories are essential for building new structures and speeding up construction, while military factories are necessary for producing equipment such as rifles, planes, and tanks for the army.
• 😀 A key question for players is determining the optimal time to start building military factories and when to focus on civilian factories.
• 😀 The number of factories a country can build is influenced by two main factors: infrastructure bonuses, which vary by region, and a construction bonus that applies globally within the nation.
• 😀 Each civilian factory produces five units (or 'hammers') of production per day, and a new factory is built once 10,800 hammers are accumulated.
• 😀 The script introduces a dynamic model where the number of available factories increases over time, and calculations need to adjust for changing factors like infrastructure and construction bonuses.
• 😀 Not all factories are directly available for military production, as some are dedicated to civilian goods (referred to as TMP – 'Tovary Narodnogo Potrebleniya'). The number of factories allocated for TMP depends on the number of civilian and military factories.
• 😀 To find the optimal moment to shift from civilian to military factory construction, the script uses mathematical formulas based on production rates, infrastructure, and available factories at a given point in time.
• 😀 The mathematical model uses continuous time calculations to determine factory production rates and the accumulation of hammers, adjusting for dynamic changes in factory availability over time.
• 😀 The script emphasizes that in practice, players should calculate the number of factories and military factories using Excel spreadsheets, experimenting with different strategies to determine the most effective approach for a country like France.
• 😀 The model's practical application in the game showed that following the predicted strategy, France would have 48 military factories by the start of World War II, confirming the model's accuracy.

Q & A

What are the two main types of buildings in HoI4 discussed in the script?

The two main types of buildings discussed are civilian factories and military factories. Civilian factories are used for general construction and infrastructure, while military factories are used for producing war equipment such as rifles, tanks, and planes.

How does the infrastructure bonus affect the construction of factories in the game?

The infrastructure bonus accelerates the construction of factories. It is region-specific, meaning that certain areas of a country with higher infrastructure will have faster construction times for both civilian and military factories.

What is the role of the construction bonus in HoI4?

The construction bonus is a national modifier that applies to all buildings, improving the speed of their construction. This bonus can come from research, economic laws, trade laws, and certain national focuses.

What does the formula F_available(T) represent in the script?

F_available(T) represents the number of factories available at a specific point in time, T, during the game. This is calculated by considering the base number of factories, the infrastructure bonus, and other modifiers that may change over time.

Why are factories allocated to consumer goods (TNP) in HoI4, and how does it affect production?

Some factories are allocated to produce consumer goods (TNP) instead of military production. The more military factories you build, the more factories are diverted to TNP. This reduces the number of factories available for military equipment production.

What is the significance of the formula involving the number of factories per day (5 hammers)?

The formula, which involves the production of 5 hammers per day per factory, helps calculate how many factories can be built over time. This factor is crucial for determining the rate at which the player can expand their factory base and adjust their strategy accordingly.

How does the player calculate the number of factories after a year in the game?

The player calculates the number of factories after one year by factoring in the base production rate of factories (5 hammers per day), the available bonuses, and the number of days passed. This is done through a set of mathematical equations that take into account the dynamic nature of factory production.

What is the purpose of using differential equations in this strategy analysis?

Differential equations are used to model the continuous production of factories over time. By considering the incremental change in factory production over small time intervals, the player can predict the exact number of factories at any given point in time.

How was the Excel model used in this strategy for France?

The Excel model was used to track the progress of factory construction month by month. The player inputted various bonuses, laws, and the number of factories at the start of each month, allowing them to determine the optimal time to switch from civilian to military factory construction.

What was the result of applying this strategy in HoI4 for France?

By applying the strategy, the player successfully built 48 military factories by the start of World War II. The model predicted this outcome accurately, confirming the validity of the calculated strategy for optimal factory construction in France.