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

Linked lists, representation of links list in memory

representation of links list in memory

Red-black trees, A Red-Black Tree (RBT) is a type of Binary Search tree wit...

A Red-Black Tree (RBT) is a type of Binary Search tree with one extra bit of storage per node, i.e. its color that can either be red or black. Now the nodes can have any of the col

STACK, WHAT IS THE PURPOSE OF STACK IN C

WHAT IS THE PURPOSE OF STACK IN C

Types of triangular matrices, Triangular Matrices Tiangular Matrices is...

Triangular Matrices Tiangular Matrices is of 2 types: a)  Lower triangular b)  Upper triangular

Structures for complete undirected graphs, Q. Draw  the structures of compl...

Q. Draw  the structures of complete  undirected  graphs  on  one,  two,  three,  four  and  five vertices also prove that the number of edges in an n vertex complete graph is n(n-1

Bayesian statistics question, Suppose that there is a Beta(2,2) prior distr...

Suppose that there is a Beta(2,2) prior distribution on the probability theta that a coin will yield a "head" when spun in a specified manner. The coin is independently spun 10 tim

State the example of pre- and post-conditions, State the example of pre- an...

State the example of pre- and post-conditions Suppose that function f(x) should have a non-zero argument and return a positive value. We can document these pre- and post-condit

Array implementation of lists, In the array implementation of the lists, we...

In the array implementation of the lists, we will use the array to hold the entries and a separate counter to keep track of the number of positions are occupied. A structure will b

Binary search tree (bst), Q. Explain what do we understand by Binary Search...

Q. Explain what do we understand by Binary Search Tree (BST)? Make a BST for the following given sequence of the numbers. 45, 32, 90, 21, 78, 65, 87, 132, 90, 96, 41, 74, 92

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