In a Toothpaste manufacturing environment, there are a lot ofprocesses involved before getting the final product. It starts withthe dumping of bulk raw material like calcium carbonate, silicaetc. to the Mixer. In the Mixer, all the other ingredients likeGlycerin, Water, Gums, Flavor etc. get added to produce the finalcream. The cream is then transferred to bulk storage tanks where isit stored and buffered. The cream then flows to packing lines fortubing and finally the product is made. Below are the Queuingsystems in this process:

1) The dumping of bulk raw material is done in a system which isconnected to 3 Mixer systems. So, as per requirement, the materialdoes to any system. Hence, it is a single line and 3 servermodel

2) The Glycerin is stored in two tanks and they supply to 3Mixer system. So, it is the Multiple server systems

3) Each Mixer system is connected to single storage tanks andthey transfer cream to designated packing line. Hence, it is asingle server system. The buffer tank is a queuing tank where creamkeeps on getting collected and is consumed in packing line on firstcome first serve basis.

Thus, the queuing system is very much relevant in all themanufacturing processes. Queueing theory deals with the analysis ofqueuing systems at is a described as customers arriving for servicewaiting for the service if it is not immediate and if it is notimmediate and if having waited for service leaving the system afterbeing served.

For the queuing system example above:

a) In order to model and analyze the system performance,what data do you need to collect? Propose a plan for datacollection (e.g., survey, sensing data, database, domain knowledge,etc.)

b) Provide an example of collected data needed formodeling the system. You do not need to present the real data.“Fake” data provided here needs to be reasonable. ​

c) Recommend the improvement or optimization of systemperformance.