M/M/1 Queuing System-Three Examples

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  • Опубліковано 29 гру 2024

КОМЕНТАРІ • 28

  • @kangambangunga1419
    @kangambangunga1419 Місяць тому

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

  • @ie95_Moh
    @ie95_Moh 3 роки тому +1

    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.

  • @ismaily3227
    @ismaily3227 Рік тому +1

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

    • @whitneyvivian1422
      @whitneyvivian1422 11 місяців тому

      idk too bro

    • @kangambangunga1419
      @kangambangunga1419 Місяць тому

      @@whitneyvivian1422 same

    • @carlosmigbarata6010
      @carlosmigbarata6010 22 дні тому

      ​@@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

  • @poiuwnwang7109
    @poiuwnwang7109 3 роки тому +2

    @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
      @poiuwnwang7109 3 роки тому +1

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

  • @programer2147
    @programer2147 2 роки тому

    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

  • @algorithmo134
    @algorithmo134 3 роки тому +1

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

  • @Amhara632
    @Amhara632 2 роки тому +1

    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)

  • @kim4857-u7j
    @kim4857-u7j 2 роки тому

    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" ?

  • @deniz-ke1vm
    @deniz-ke1vm Рік тому +1

    why you multipled by 2 in panic example

    • @tb4901
      @tb4901 10 місяців тому

      I dont get that either

    • @arwaomer9795
      @arwaomer9795 8 місяців тому

      Me too

  • @AsadAli-tb7hy
    @AsadAli-tb7hy 4 роки тому +1

    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
      @saeidehfallahfini1173  4 роки тому +3

      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
      @AsadAli-tb7hy 4 роки тому

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

  • @sayedazizhaqbin6132
    @sayedazizhaqbin6132 3 роки тому +1

    very good. thank u so much!

  • @migraineee
    @migraineee Місяць тому

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

    • @saeidehfallahfini1173
      @saeidehfallahfini1173  Місяць тому

      Industrial engineering, in operations research class

    • @migraineee
      @migraineee Місяць тому

      @ 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
    @poiuwnwang7109 3 роки тому

    Can anybody tell what the textbook is?

    • @saeidehfallahfini1173
      @saeidehfallahfini1173  3 роки тому +3

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

    • @poiuwnwang7109
      @poiuwnwang7109 3 роки тому

      @@saeidehfallahfini1173 Thank you so much, Professor Fini.

  • @addone5548
    @addone5548 3 роки тому

    poggers

  • @programer2147
    @programer2147 2 роки тому

    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

  • @programer2147
    @programer2147 2 роки тому +1

    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