- cmsg cancel <nbcfqm$73h$3@dont-email.me> - 5 Updates
- When machines can do any job, what will humans do? - 1 Update
- Read again.... - 1 Update
- My post about Ecommerce website mathematical modeling... - 1 Update
- Modeling like CPM searching for the critical path - 1 Update
- Here is my thoughts on mathematical queuing theory... - 1 Update
| bleachbot <bleachbot@httrack.com>: Mar 04 06:18PM +0100 |
| bleachbot <bleachbot@httrack.com>: Mar 04 08:14PM +0100 |
| bleachbot <bleachbot@httrack.com>: Mar 04 09:22PM +0100 |
| bleachbot <bleachbot@httrack.com>: Mar 04 09:47PM +0100 |
| bleachbot <bleachbot@httrack.com>: Mar 04 10:16PM +0100 |
| Ramine <ramine@1.1>: Mar 04 04:19PM -0800 Hello, When machines can do any job, what will humans do? Read more here in the science daily: https://www.sciencedaily.com/releases/2016/02/160213185923.htm Thank you, Amine Moulay Ramdane. |
| Ramine <ramine@1.1>: Mar 04 03:49PM -0800 Hello........... I have come as i have talked before to my post about Ecommerce website modeling with mathematical queuing theory... As you have noticed Sir/Madam that i am a programmer and as you have noticed i have invented many Synchronization algorithms, and i have implemented many parallel algorithms.. here they are: https://sites.google.com/site/aminer68/ But during all those years i have come to a conclusion that the job of programming is not a sufficient condition to become more professional, and i have come to a conclusion that Operations research is a necessary requirement for me as a programmer, because mathematical queuing theory and linear programming etc. in Operations research is a requirement to be able to implement and model for example an Ecommerce website and for a better QOS, this is why in this post i will show you how to model a database server that has an hyper-exponential service, so how can we use this M/G/1 queue that has an hyper-exponential service to model mathematically an Ecommerce website, i think that to not get into simulation, since many Ecommerce websites have read-mostly workloads, the hyper-exponential queue that is an M/G/1 can be approximated with an M/M/1 queue when the writer transaCtions are less or equal to 30% of the total transaCtions and the Ecommerce website has read-mostly workloads, and to not get into mathematical proofs i will give you the mathematical equations of the M/G/1 queue that have an hyper-exponential service that permit us to model a database server, here they are: The mean that is the the mean time of the service is: M1 = p1/a + p2/b... and the second moment is: M2 = 2*p1/a^2 + 2*p2/b^2... and the variance is: variance = M2 - M1^2 a and b are the service rates of the different transactions such us read,write and delete... and p1 and p2 are the percentage of the transactions. and that's all: So when you calculate and get M1 you will then calculate the mean service time that is 1/M1 and you will plug this on your M/M/1 THAT is an approximation of the above case using the arrival rate and that's all, and now you can model mathematically and easily your Ecommerce website by simplifying a little bit the model by using queues that are interconnected in a serial manner. Thank you, Amine Moulay Ramdane. |
| Ramine <ramine@1.1>: Mar 04 03:24PM -0800 Hello, I have come as i have talked before to my post about Ecommerce website modeling with mathematical queuing theory... As you have noticed Sir/Madam that i am a programmer and as you have noticed i have invented many Synchronization algorithms, and i have implemented many parallel algorithms.. here they are: https://sites.google.com/site/aminer68/ But during all those years i have come to a conclusion that the job of programming is not a sufficient condition to become more professional, and i have come to a conclusion that Operations research is a necessary requirement for me as a programmer, because mathematical queuing theory and linear programming etc. in Operations research is a requirement to be able to implement and model for example an Ecommerce website and for a better QOS, this is why in this post i will show you how to model a database server that has an hyper-exponential service, so how can we use this M/G/1 queue that have an hyper-exponential service to model mathematically an Ecommerce website, i think that to not get into simulation, since many Ecommerce websites have read-mostly workloads, the hyper-exponential queue that is an M/G/1 can be approximated with an M/M/1 queue when the writer transaCtions are less or equal to 30% of the total transaCtions and the Ecommerce website has read-mostly workloads, and to not get into mathematical proofs i will give you the mathematical equations of the M/G/1 queue that have an hyper-exponential service that permit us to model a database server, here they are: The mean that is the the mean time of the service is: M1 = p1/a + p2/b... and the second moment is: M2 = 2*p1/a^2 + 2*p2/b^2... and the variance is: variance = M2 - M1^2 a and b are the service rates of the different transactions such us read,write delete... and p1 and p2 are the percentage of the transactions. and that's all: So when you calculate and get M1 you will then calculate the mean service time that is 1/M1 and you will plug this on your M/M/1 THAT is an approximation the above case using the arrival rate and that's all, and now you can model mathematically and easily your Ecommerce website by simplifying a little bit the model by using queues that are interconnected in a serial manner. Thank you, Amine Moulay Ramdane. |
| Ramine <ramine@1.1>: Mar 04 02:17PM -0800 Hello, I have modeled and solved the Shortest-Route problem with Linear programming, here it is: http://pages.videotron.com/aminer/lp/linear.htm If you want do a modeling like CPM searching for the critical path, you have to change the objective function of the Shortest-Route problem above from a minimization to a maximization. And as you have noticed i have also implemented an optimal Dijkstra's algorithm that is compatible with Delphi and FreePascal, here it is: https://sites.google.com/site/aminer68/dijkstra-s-algorithm-for-delphi-and-freepascal In my next post i will show you how to model using mathematical queuing theory a queue that have an hyper-exponential service so that to model a database server to be able to mathematically model an Ecommerce website. Thank you for your time. Amine Moulay Ramdane. |
| Ramine <ramine@1.1>: Mar 04 12:21PM -0800 On 3/2/2016 4:33 PM, Ramine wrote: > queuing theory does answer the question of what is the waiting time > of the internet user of the website when the waiting time is dependant > on the arrival rate that must not go beyond the Kned of the queues, but I correct: Beyond the Knees of the queues. |
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