Discrete time simulation of a queue, Data Structure & Algorithms

Assignment Help:

In this project you will write a program to produce a discrete time simulation of a queue as shown in Fig. 1. Time is slotted on the input and the output. Each input packet follows a Bernoulli process. In a given time slot the independent probability that a packet arrives in a time slot is p, while the probability that the packet will be serviced is q. One packet fills one time slot.        

1775_Queue element.png

The queue can store up to four packets (not the five shown in the diagram above). All packets are processed on a first come - first served basis. Assume that when a packet is serviced all other packets in a queue (if any) are shifted instantaneously towards the output. Each slot departures from the queue are processed before arrivals. 

In your discrete event simulation the program will mimic the operation of the queue and collect statistics. More specifically, you will need to collect (a) throughput and (b) delay statistics for different values of p (p = 0.02, 0.04 up to 1.0 in steps of 0.02), and for a fixed value of q = 0.75. To obtain an accurate statistics you should simulate at least ten thousand time slots for each value of p. Note that you ARE NOT allowed to implement the model equation in the program - but you can use them as a check.

The average throughput is just the number of serviced packets divided by the number of time slots. The average delay of the queue is an average number of time slots a packet is waiting in a queue before it gets serviced (i.e., it is the total number of time slots which all serviced packets spend in the queue divided by the total number of serviced packets). For the delay statistics, it is convenient to store your packets in a linked list and associate the time slot tag with each packet.


Related Discussions:- Discrete time simulation of a queue

Multiple stack in single dimensional array, Implement multiple stacks in a ...

Implement multiple stacks in a single dimensional array. Write algorithms for various stack operations for them.

A binary tree of depth "d" is an almost complete binary tree, A binary tree...

A binary tree of depth "d" is an almost complete binary tree if  A) Every leaf in the tree is either at level "d" or at level "d-1"  B)  For any node "n" in the tree with a

Determine the class invariants- ruby, Determine the class invariants- Ruby ...

Determine the class invariants- Ruby Ruby has many predefined exceptions classes (like ArgumentError) and new ones can be created easily by sub-classing StandardError, so it's

Interest, I =PR/12 Numbers of years .Interest rate up to 1yrs ...

I =PR/12 Numbers of years .Interest rate up to 1yrs . 5.50 up to 5yrs . 6.50 More than 5 yrs . 6.75 design an algorithm based on the above information

Algorithmss, calculate gpa using an algorithm

calculate gpa using an algorithm

Write an algorithm for binary search., Write an algorithm for binary search...

Write an algorithm for binary search. Algorithm for Binary Search 1.  if (low> high) 2.  return (-1) 3.  Mid = (low + high)/2 4.  if ( X = = a[mid]) 5.  return (mid); 6.

Define a tree and list its properties, QUESTION (a) Define a tree and l...

QUESTION (a) Define a tree and list its properties. (b) By showing all your workings, draw the spanning tree for the following graph based on the Breadth-First-Search algori

Explain backtracking, Explain Backtracking The  principal idea is to co...

Explain Backtracking The  principal idea is to construct solutions single component  at a time  and evaluate such  partially constructed candidates as follows. If a partiall

C++, 7. String manipulation 7.a Write a C Program using following strin...

7. String manipulation 7.a Write a C Program using following string manipulation functions a) strcpy b) strncpy c) strcmp d) strncmp e) strlen f) strcat

Applications of the queue, Write down any four applications of the queues. ...

Write down any four applications of the queues.                                                            Ans. A pp li cation of Queue is given below (i)  Queue is

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd