A Full Guide to Waiting Line Models and Queuing Theory. In this article, I will give a detailed overview of waiting line models. I will discuss when and how to use waiting line models from a business standpoint.
In this article, I will give a detailed overview of waiting line models. I will discuss when and how to use waiting line models from a business standpoint. In the second part, I will go in-depth into multiple specific queuing theory models, that can be used for specific waiting lines, as well as other applications of queueing theory.
Waiting line models are mathematical models used to study waiting lines. Another name for the domain is queuing theory.
Waiting lines can be set up in many ways. In a theme park ride, you generally have one line. In the supermarket, you have multiple cashiers with each their own waiting line. And at a fast-food restaurant, you may encounter situations with multiple servers and a single waiting line.
The goal of waiting line models is to describe expected result KPIs of a waiting line system, without having to implement them for empirical observation. Result KPIs for waiting lines can be for instance reduction of staffing costs or improvement of guest satisfaction.
Waiting line models can be used as long as your situation meets the idea of a waiting line. This means that there has to be a specific process for arriving clients (or whatever object you are modeling), and a specific process for the servers (usually with the departure of clients out of the system after having been served).
Waiting line models need arrival, waiting and service
This idea may seem very specific to waiting lines, but there are actually many possible applications of waiting line models. For example, waiting line models are very important for:
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