Chat with us, powered by LiveChat

M/M/S : FIFO/∞ Model

This is one model where total capacity of a system is specifically restricted and there is no chance of any extra individual joining this system in any manner. In this case, it’s taken that capacity of a system is fixed at N, where chances of (N+1) customer joining are nil.

The difference that is found is in the form of a differential equation, wherein differential equations of previous models would only be valid if there is if N is greater than n (N>n).

Hence a situation of N=n needs to be created.

Here are two sums, solving which will give students a deeper insight into this whole process.

Sum 1:  It is taken that a set of trucks are coming to the market area at the rate of 30 trucks on a regular basis. Also,it is taken that their arrival rate follows the process of exponential distribution. It is also assumed that unloading of trucks is done by following the exponential principle, with the average being at 42 minutes.

If, taken that a single market area can take up to 10 trucks at a single time, what is the ‘P’ when this market area is empty and what’s average length of this queue that is formed?

Also, if it is taken that time of unloading increases to 48 minutes, how would it affect the above mentioned questions?

Sum 2:  If a data is given that in a car testing center, cars come in the format of the Poisson center, and average rate of cars is 15 on an hourly basis.Also, it is said that this center can accommodate only 15 cars. How should then timing of service of the per car be calculated, when the mean rate is taken to be 10 cars per hour and the format of exponential distribution is to be followed.

How to get following data?

  • What is the expected time for waiting until a car is leaves a testing center?
  • What is the probability that a car which has arrived does not have to wait in that service center before getting a place?
  • What are the chances that a car that’s arriving will find a specific place reserved for itself in the center?
  • What’s taken as the effective rate of arrival of the cars at the center?

Solution to these doubts can help students get a deeper insight into the topic.

 

Links of Previous Main Topic:-

Links of Next Statistics Topics:-

Featured Post

Get Homework Help from Best Tutors

 

 

  • #1 Homework Help Company.
  • Plagiarism-free work.
  • Budget Friendly.
  • Fast Service.
  • Assured high grades.

Frequently Asked Questions

Why use Myhomeworkhelp?

We provide you with the homework help from top experienced experts. Your satisfaction is a priority to us. Get better grades or money-back. It’s that risk-free! Furthermore, everything about you is kept confidential.

Why use Myhomeworkhelp?

We provide you with the homework help from top experienced experts. Your satisfaction is a priority to us. Get better grades or money-back. It’s that risk-free! Furthermore, everything about you is kept confidential.

How quickly can you help me with my homework?

We take pride in our 24×7 homework help services. Which means, student can approach us anytime, to get help even on short notices. As short as few hours! And yes, we provide complementary plagiarism-free report.

How can I trust you?

Myhomeworkhelp has completed over 25,000 homework help tasks over the last 8 years. But do not take our word for it! See our here and on Trustpilot. Your credit card information is not stored anywhere, and use of PayPal relies on their secure payment networks. Your identity, payment and homework help are in safe hands.

Who are your experts?

All our experts are highly qualified professionals – holding at least Master’s degree of their respective fields of expertise. We engage with experts from across the globe, to ensure learning never stops.

Is it a free-service?

No! We are provide paid service that requires a payment via a credit card, or a PayPal account. The subject-matter expert won’t work for free.

Is it a free-service?

No! We are provide paid service that requires a payment via a credit card, or a PayPal account. The subject-matter expert won’t work for free.

How costly are your homework help service?

We price our homework help at affordable costs, to provide best academic experience, without punching a hole in your pocket. To help you even further, we do accept partial payment (subject to our policy) to start working on your assignment help. You can pay the remaining amount when your task gets completed. No pressure of up-front payment.

Are you cheaper than other homework help services?

As with most things in life, you get what you pay for. With cheap offers on somewebsites, you will get your job messed up, with unexperienced experts, affecting your grades. Some other websites will require a subscription on a minimum or monthly plan. With us, you pay for what you need. We take pride in our experienced expert panel who will provide premium service, at affordable price without compromising quality above all else. Satisfaction assured, or money-back. And yes, we do offer new customer discounts!

How it works
YouTube video
Our Reviews
Ratings