Murphy's Theory Of Queuing Model In The Queueing System

“ If you change queues, the one you have left will start to move faster than the one you are in now. Your queue always goes the slowest. Whatever queue you join, no matter how short it looks, it will always take the longest for you to get served.

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Murphy’s Laws on Queueing

Queues are sequences in which people are awaiting their turn to be served. Queueing is very common in all fields of life. It essentially happens when there are entities who arrive for a service. For example, railway stations, banks, airlines, telecommunication companies, hospitals, and supermarkets, all have queues involved in them. Studying queuing is important because from toilets in a house to restaurants, we all have to wait and this affects our productivity and involves several costs associated with it.

Queuing model is a model for waiting line. Here we study what happens when a set of people join queue. We consider arrivals, waiting, and service, in any given context, the three components of the system. Queuing model predicts the behavior of queueing system, like waiting time or the probability that the server is idle. Recollect that, if customers wait, there is a cost associated i.e. frustration and

This essentially means the system has been operating for time period long enough for the system to attain equilibrium. Equilibrium here is defined as a state where arrival rate, service rate and other characteristics of the system on an average become constant, hence the probabilistic behavior of the system is independent of when the system is being observed. For our systems to attain this state, they have to be working 24 hours- 7 days a week and their behavior have to be independent of different time and day’s affects. However not true, for the time being we assume that our systems are in steady state. Likewise, there are many assumptions that we should acknowledge before