M/M/1 Queuing System-Three Examples

Поделиться
HTML-код
  • Опубликовано: 28 ноя 2024

Комментарии • 27

  • @ie95_Moh
    @ie95_Moh 3 года назад +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.

  • @programer2147
    @programer2147 Год назад

    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

  • @poiuwnwang7109
    @poiuwnwang7109 3 года назад +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 года назад +1

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

  • @kangambangunga1419
    @kangambangunga1419 19 дней назад

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

  • @sayedazizhaqbin6132
    @sayedazizhaqbin6132 3 года назад +1

    very good. thank u so much!

  • @Amhara632
    @Amhara632 2 года назад +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)

  • @AsadAli-tb7hy
    @AsadAli-tb7hy 3 года назад +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  3 года назад +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 3 года назад

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

  • @algorithmo134
    @algorithmo134 3 года назад +1

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

  • @kim4857-u7j
    @kim4857-u7j 2 года назад

    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 11 месяцев назад +1

    why you multipled by 2 in panic example

    • @tb4901
      @tb4901 9 месяцев назад

      I dont get that either

    • @arwaomer9795
      @arwaomer9795 7 месяцев назад

      Me too

  • @ismaily3227
    @ismaily3227 Год назад +1

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

  • @migraineee
    @migraineee 22 дня назад

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

    • @saeidehfallahfini1173
      @saeidehfallahfini1173  22 дня назад

      Industrial engineering, in operations research class

    • @migraineee
      @migraineee 22 дня назад

      @ 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 года назад

    Can anybody tell what the textbook is?

    • @saeidehfallahfini1173
      @saeidehfallahfini1173  3 года назад +3

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

    • @poiuwnwang7109
      @poiuwnwang7109 3 года назад

      @@saeidehfallahfini1173 Thank you so much, Professor Fini.

  • @addone5548
    @addone5548 2 года назад

    poggers

  • @programer2147
    @programer2147 Год назад

    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 Год назад +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