Design and implement a simulation application aiming to analyse queuing based systems for determining and minimizing clients’ waiting time. The management of queue-based systems is interested in minimizing the time amount their "clients" are waiting in queues before they are served. One way to minimize the waiting time is to add more servers, i.e. more queues in the system (each queue is considered as having an associated processor) but this approach increases the costs of the service supplier.
The application should simulate (by defining a simulation time 𝑡𝑠𝑖𝑚𝑢𝑙𝑎𝑡𝑖𝑜𝑛) a series of N clients arriving for service, entering Q queues, waiting, being served and finally leaving the queues. All clients are generated when the simulation is started, and are characterized by three parameters: ID (a number between 1 and N), 𝑡𝑎𝑟𝑟𝑖𝑣𝑎𝑙 (simulation time when they are ready to go to the queue; i.e. time when the client finished shopping) and 𝑡𝑠𝑒𝑟𝑣𝑖𝑐𝑒 (time interval or duration needed to serve the client; i.e. waiting time when the client is in front of the queue). The application tracks the total time spent by every client in the queues and computes the average waiting time. Each client is added to the queue with minimum waiting time when its 𝑡𝑎𝑟𝑟𝑖𝑣𝑎𝑙 time is greater than or equal to the simulation time (𝑡𝑎𝑟𝑟𝑖𝑣𝑎𝑙≥𝑡𝑠𝑖𝑚𝑢𝑙𝑎𝑡𝑖𝑜𝑛).