Which data structure and algorithm used to manage a trailing stop loss system?

Sorry for inconvenient, I wonder what data structure and algorithm used to manage a trailing stop loss system ?
If we have have a system which implements trailing stop loss method, to handle a large number of user orders with different initial prices and price amplitudes, we need to use which data structure to manage it efficiently ? What I am thinking so far is we use a Map(key, value) data structure.
Which the key is the initial price and value is a List of ordered with that price but that way can not handle the price amplitudes, lead to this way is useless.
Thanks and grateful for all of your replies !

How trailing stop loss work

One data structure that can be used to manage a trailing stop loss system is a priority queue, also known as a heap. A priority queue is a data structure that stores elements with associated priorities and allows efficient retrieval of the element with the highest (or lowest) priority.

In the context of a trailing stop loss system, each element in the priority queue represents a stock or an asset being tracked, and the priority is determined by the trailing stop loss value. The trailing stop loss is a dynamic value that adjusts as the price of the asset changes.

Here's how you can use a priority queue to manage a trailing stop loss system:

1. Define the data structure: Each element in the priority queue should contain the following information:

   • Stock/asset symbol or identifier
   • Current price of the stock/asset
   • Trailing stop loss value for the stock/asset

2. Initialize the priority queue: Create an empty priority queue.

3. Inserting stocks/assets: Whenever a new stock/asset is added to the system, calculate its initial trailing stop loss value based on a predefined formula or strategy. Create an element with the necessary information and insert it into the priority queue based on its trailing stop loss value. The element with the highest trailing stop loss value will be at the front of the priority queue.

4. Updating trailing stop loss values: As the prices of the stocks/assets change, you need to update their trailing stop loss values accordingly. Retrieve the element with the highest priority (highest trailing stop loss value) from the priority queue. Calculate the new trailing stop loss value based on the updated price and update the element in the priority queue. If the new trailing stop loss value is higher than the trailing stop loss value of the next highest-priority element, adjust the position of the element in the priority queue to reflect the new priority.

5. Triggering stop loss: Whenever the price of a stock/asset reaches or falls below its trailing stop loss value, you can trigger the stop loss action for that stock/asset.

Using a priority queue allows you to efficiently track and manage multiple stocks/assets in a trailing stop loss system. The most critical element (highest trailing stop loss value) is always readily accessible at the front of the queue, making it easy to identify which stocks/assets need attention based on their priority.