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

Algorithm, implement multiple stacks in a single dimensional array. write a...

implement multiple stacks in a single dimensional array. write algorithm for various stack operation for them

Hash function, Q. Define the graph, adjacency matrix, adjacency list, hash ...

Q. Define the graph, adjacency matrix, adjacency list, hash function, adjacency matrix, sparse matrix, reachability matrix.

Implementation of circular queues, One of the main problems with the linear...

One of the main problems with the linear queue is the lack of appropriate utilization of space. Assume that the queue can store 100 elements & the complete queue is full. Thus, it

Data type, Data type An implementation of an abstract data type on a...

Data type An implementation of an abstract data type on a computer. Therefore, for instance, Boolean ADT is implemented as the Boolean type in Java, and bool type in C++;

Define null values, Define null values.  In some cases a particular ent...

Define null values.  In some cases a particular entity might not have an applicable value for an attribute or if we do not know the value of an attribute for a particular entit

Worst case and average case, Worst Case: For running time, Worst case runn...

Worst Case: For running time, Worst case running time is an upper bound with any input. This guarantees that, irrespective of the type of input, the algorithm will not take any lo

Primitive data structure, Primitive Data Structure These are the basic ...

Primitive Data Structure These are the basic structure and are directly operated upon by the machine instructions. These in general have dissimilar representations on different

Road transport booking system, what algorithms can i use for the above titl...

what algorithms can i use for the above title in my project desing and implmentation of road transport booking system

Explain the concept of hidden lines and surface removal, Explain the concep...

Explain the concept of hidden lines The problem of hidden lines or surfaces was implicit even in 2-D graphics, but we did not mention it there, because what was intended to be

ALGORITHM AND TRACING, WRITE AN ALGORITHM TO CONVERT PARENTHIZED INFIX TO P...

WRITE AN ALGORITHM TO CONVERT PARENTHIZED INFIX TO POSTFIX FORM ALSO TRACE ALG ON ((A+B)*C-(D-E)$F+G)

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