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

Hashing, what is hashing? what are diffrent method of hashing?

what is hashing? what are diffrent method of hashing?

Binary search, An unsorted array is searched through linear search that sca...

An unsorted array is searched through linear search that scans the array elements one by one until the wanted element is found. The cause for sorting an array is that we search

Structured programming, What do you understand by term structured programmi...

What do you understand by term structured programming? Explain the structured programming as well.                                 Ans. S tructured Programming is expla

Which sorting algorithms not have running time of o (n2), Which sorting al...

Which sorting algorithms does not have a worst case running time of  O (n 2 ) ? Merge sort

Multiple Queues in a single dimension array, Implement multiple queues in a...

Implement multiple queues in a single dimensional array. Write algorithms for various queue operations for them.

Graph traversal schemes, Various graph traversal schemes Graph Traversa...

Various graph traversal schemes Graph Traversal Scheme. In many problems we wish to investigate all the vertices in a graph in some systematic order. In graph we often do no

Algorithm, Describe different methods of developing algorithms with example...

Describe different methods of developing algorithms with examples.

Efficiency of linear search, Efficiency of Linear Search How much numbe...

Efficiency of Linear Search How much number of comparisons is there in this search in searching for a particular element? The number of comparisons based upon where the reco

Perfect matching polytope ppm, Let G=(V,E) be a graph for which all nodes h...

Let G=(V,E) be a graph for which all nodes have degree 5 and where G is 5-edge is connected. a) Show that the vector x which is indexed by the edges E and for which xe = 1/5 for

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