Queuing Theory Tutorial - Queues/Lines, Characteristics, Kendall Notation, M/M/1 Queues

ERRATUM - At @12:18, the computation for utilisation factor would be (1car/6mins) / (1car/10mins) = 5/3 or 1.6667.
This is a tutorial video on the basics of Queuing Theory. In this video, the introduction to Queuing Theory is given together with the different characteristics of a queue and the common reactions and attitude of queue subjects. The Kendall Notation will be explained and a simple M/M/1 Queue example is given and solved.

[@Socko960]

Why can't everyone use real life examples like you did. I've been trying to make sense of the whole theory for the last couple hours and now everything makes sense . Thank you very much

[@2334463]

Thank you very much! I try to simplify these notions in order to make sense for everyday encounter. I totally understand the frustration that most online tutorials are really in-depth and difficult. Thanks for watching the video.

[@KEWONZOR]

Organized and straight to the point. You're amazing.

[@amberh.9180]

Thank you for condensing a whole 3 and a half-hour lecture into 15 minutes!

[@sorypark3104]

Thanks for the video~ The story in the beginning was a good way to start, and the explanations were very simple to understand. Appreciate it!

[@Nellak2011]

I am glad I found this theory.
I had investigated this topic on my own and discovered most of this theory on my own without knowing about it.
Now I know of this theory, I can formally study it to improve my productivity further!

[@amraboeleneen2221]

Respect the work and time needed to do this video. Thanks Alot!

[@samfoong3558]

Thank you for that lesson ❤ you made it all sound so simple

[@rolynjynd.delacruz8985]

thank you for this video sir, you explained it clearly . it helps for me to understand this topic because this is my report.

[@AmitSingh-pe2xw]

Thank you for the Video...Explanation was very simple to understand...Appreciate it!

[@NK-iy6if]

God bless you! Great video with great explanation and illustrations, thank you! Hope you could do more video lectures!

[@maftunabulyaeva8642]

Thanks so much for a simple and available explanation👌🤩

[@cesarkadirtorricovillanuev5638]

Thank you very much, there is not much content about queuing theory in Spanish. Great video. :)

[@chriszhou1355]

Hope some one can help me.
Thanks for your amazing video. One thing is confused here, the definition shows that 'r'dont know how to type= mean number of arrivels per time period and mean number of people or items served per time period. But in your gas station example, why u used mins/car? it should be arrive is 10 cars/hrs, and serve 6 cars/hrs. so, the Ls should be -2.5 cars/hrs. So, my question here is how to explain the negative sign here, or we have to assume service rate have to larger than arrival rate.

[@sahilsood1664]

Explained in a great way.

[@user-km1my1ur2i]

It's very clear,thank you!

[@almonddonut1818]

God bless you, this is wonderfully explained!

[@zz-sf1bm]

thanks for your video, it makes me understand MMS clearer

[@markfromct2]

Thanks. I never thought about this

[@higiniofuentes2551]

Thank you for this very useful video!

[@michaelbryanaquino3019]

Great videoo!! Very informative and simple explanation thankssss.

[@ranjuparajuli1119]

It helped me a lot. Thank you sir.

[@sanas.193]

Thankyou so much 🎉 Great explanation

[@venicebucayan9711]

Sir, your videos help a lot! A blessing indeed for us waiting to take CIE examination. I was wondering if you took the CIE? what advice can you give most especially in dealing Major Subjects like OR and POM?

[@2334463]

Hi, Venice! Thanks for appreciating. Yes, I took the CIE Exam last 2015. For OR and POM, I would say really try your best to solve as much problem sets as you can. Most, if I can recall, were really problem-solving type of questions for both Module 3 and Module 4 where OR and POM belong. One of these days, I'll do my best to include POM for my tutorials. 😉

[@zcodev]

amazing bro
thx for simple explanation

[@otchigal6527]

Thanks for the video, however there is an error in your video. If Lambda (the arrival rate - 10 car per hour) is higher than mu (the service rate - 6 cars per hour) the queue will explode. i.e. the waiting time will be infinite. Could it be that you mixed up the values of lambda and mu?

[@ir5421]

awesome explanation

[@virgiljin6745]

where can we find the answer key for the hw question

[@baetclaner7244]

Thanks for the video, quite insightful. I just had an issue with the question in the end, since , mu = 1/10, lamda = 1/6, after seeing the erratum, if I apply the following substitution in the Ws (1/mu-lambda) formula, I get a negative number, please help me proceed, thank you.

[@crondog]

The formulas all break down when the utilization factor is greater than 1 (i.e. lambda > mu). This is because in a such a system the queue grows infinitely over time so all your averages will end up being infinite. I suspect there was a typo and the two rates got switched because as it is written the problem doesn't really have much meaning.

[@paulominandi1696]

Better to keep in rate in hr, there is no need in converting to mins.

[@2334463]

Hello! I acknowledge this and please read the erratum in the description.

[@alen1721]

Sir can we take this as a final year project for bsc mathematics in college?

[@kabir73722]

You presented amazing really it was useful thanks a lot🥰

[@millicentqochiwa9646]

Anyone who worked the last example what solution did you get

[@adityachandran7002]

beautifully explained

[@user-km1ov2ug5o]

Can I get a solution to this: Demand is: 2,250 vehicles/hr; average speed of 60 mph; capacity of the
lane closure is 25 mph; we have 2 lanes of evenly distributed traffic.
What can we report to be the expected speed of the shock wave traveling
backwards?

[@subainahameed9068]

JazakAllah 🔥it helped me alot

[@abhyunnati8589]

Made it look so easy

[@higiniofuentes2551]

May I ask how to calculate the probability of more than k units last probability? Seems (6/10)**k+1, but k=??
The P0 is easy: 1-(6/10)=0.4

[@user-xj4ep5wb2j]

why in the first example, the departure is Markovian? 11:22

[@Shabb101]

Great video.🙏🙏🙏🙏

[@christine_1608]

thank you so much !

[@trinhannguyen6971]

Can you give me slide (.ppt)? Thank you.

[@VictoriaeJohn]

Thank you

[@jamiemiller4798]

Please help me figure out my wait time

[@mohamedyasser-hr9nd]

thanks for a great work + can you send this powerpoint????

[@davidhcefx]

12:18, 12:27 “Rates” should be of unit 1/X min, instead of X min. After all, I saw your erratum in the description.

[@2334463]

Please check erratum in the description below the video.

[@vincentvalendez4020]

Love it

[@tesfayeyimam3700]

Nice one.

[@mohammeddhiyaeddinegouaour1636]

For the example about gas station, I guess the utilization factor is 10/6 = 1.66 and not 6/10 = 0.6

[@2334463]

Please see description below the video.

[@abhyunnati8589]

Superb

[@iZenZation]

Thank you for the explanation, very useful!

[@tsunningwah3471]

why it is not an optimzation technique

[@joshuabarrientos5398]

BLESSING KA SIR!

[@jamiemiller4798]

I am 3000 in queue, every minute it is updated, only weekdays. ??????

[@akhonaanele3916]

Uhm thank you so much I am writing a test tomorrow

[@shobehao6525]

HELLO PO DOC, MAY ANSWER PO BA YANG ASSIGNMENT NA BIGAY NIYO? THANK YOU

[@ekpechidaniel158]

This information is WOW, thank you.

[@alnashossain2478]

Utilization factor would be 1.667 not 0.60 , it's wrong sir

[@2334463]

Yup, please read erratum in the desciption below the video.

[@l52reednir]

Whoua ndo

[@trendynigs.got.biz.8268]

Bro God will bless u.