M/M/1 Queuing System-Three Examples

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@ie95_Moh 3 жыл бұрын

A restaurant has a cashier unit with average service time is 2 minutes per customer with standard deviation is 1 minutes. Based on previous observation, there are in average 15 customers come to the cashier. If one customer requires space area 70cm x 50cm and the cashier unit requires 100cm x 100cms, determine total space required for the cashier unit including customers who waiting for service.

@programer2147 2 жыл бұрын

The average response time on a database system is five seconds. During a one minute observation interval, the idle time on the system was measured to be twelve seconds. Using an M/M/1 model for the system, determine the following: - System utilization - Average service time per query - Number of queries completed during the observation interval - Average number of jobs in the system - Probability of number of jobs in the system being greater than 10

@ismaily3227 Жыл бұрын

Video 4:29: I don't understand why you multiply with 2 when tanks are 1/4 empty

@whitneyvivian1422 Жыл бұрын

idk too bro

@kangambangunga1419 Ай бұрын

@@whitneyvivian1422 same

@carlosmigbarata6010 25 күн бұрын

@@kangambangunga1419 i think its bc they are refulling with more fuel in the tank, they are trying to refuel more often. so if 15 people every hour have used half of their tank and go refulling, it means that 30 people every hour have used a forth of their tank and then go refulling. it doesnt make sense irl, but it should be what she meant

@kangambangunga1419 Ай бұрын

4:17 why did you multiply by 2, any calculations or just assumptions made

@algorithmo134 3 жыл бұрын

what is the order of the video i should watch.. The playlist is out of order

@poiuwnwang7109 3 жыл бұрын

@Saeideh Fallah Fini or other viewers, I posted this message in clip 8 and 7, but I think more people will see it if I post it here. Can anybody suggest in which order shall I watch these clips? I watched the clip 7, Introduction to Queuing Theory, because the name is self explanatory, but I dont know what's next. Much appreciate it.

@poiuwnwang7109 3 жыл бұрын

clip 7,6,5,4,2,1,3,17,16,15,14,13,12,10,9,8

@Amhara632 2 жыл бұрын

nice presentation. could you give me some information on how to change bidimensional into single dimension for example p(i,j)(i,j) to P(i,j)

@deniz-ke1vm Жыл бұрын

why you multipled by 2 in panic example

@tb4901 11 ай бұрын

I dont get that either

@arwaomer9795 8 ай бұрын

Me too

@AsadAli-tb7hy 4 жыл бұрын

Thank you so much for such a nice examples. I have a question, if you could please answer. As per the M/M1 Queue, the delay is 1/μC−λ. Here if λ is greater than μC, the delay will be a negative value. How do you explain this?

@saeidehfallahfini1173 4 жыл бұрын

I am not sure what is C in your formula, but in M/M/1 systems "Delay in system" or W is defined as 1/(μ−λ). As you can see if λ>=μ, then W is meaningless. Note that in a M/M/1 system we always want 0

@AsadAli-tb7hy 4 жыл бұрын

@@saeidehfallahfini1173 Perfectly makes sense. Thank you so much. So nice of you.

@kim4857-u7j 2 жыл бұрын

Hello, for the Mcdonald's example, is there a typo on the slides? It should be "receives" an average of 10,000 pounds of potatoes, not "uses" ?

@sayedazizhaqbin6132 3 жыл бұрын

very good. thank u so much!

@migraineee Ай бұрын

Which major in university has this subject? Is it math or computer science?

@saeidehfallahfini1173 Ай бұрын

Industrial engineering, in operations research class

@migraineee Ай бұрын

@ ah i see, that makes sense, I recently got this problem and I’m trying to find the relevant course: “suppose there are two queues A and B, A has average processing time of 3 mins, B 4 mins, any 1 job will goes to whichever queue available, initially both queues are available, if there are 10 jobs ahead of me, what should I see on my countdown timer (estimated waiting time) as the 11th job in the queue”, do you know which topic I should look into?

@poiuwnwang7109 3 жыл бұрын

Can anybody tell what the textbook is?

@saeidehfallahfini1173 3 жыл бұрын

W. L. Winston, Operations Research, Application and Algorithms, 4th Edition, Thomson Learning (Brooks/Cole Publishing Co)

@poiuwnwang7109 3 жыл бұрын

@@saeidehfallahfini1173 Thank you so much, Professor Fini.