Queues 2010 Goodrich Tamassia Queues 1 The Queue

Queues © 2010 Goodrich, Tamassia Queues 1

The Queue ADT q q The Queue ADT stores arbitrary q objects Insertions and deletions follow the first-in first-out scheme Insertions are at the rear of the queue and removals are at the front of the queue Main queue operations: n n enqueue(object): inserts an element at the end of the queue q object dequeue(): removes and returns the element at the front of the queue © 2010 Goodrich, Tamassia Queues Auxiliary queue operations: n n n object front(): returns the element at the front without removing it integer size(): returns the number of elements stored boolean is. Empty(): indicates whether no elements are stored Exceptions n Attempting the execution of dequeue or front on an empty queue throws an Empty. Queue. Exception 2

Example Operation enqueue(5) enqueue(3) dequeue() enqueue(7) dequeue() front() dequeue() is. Empty() enqueue(9) enqueue(7) size() enqueue(3) enqueue(5) dequeue() © 2010 Goodrich, Tamassia – – 5 – 3 7 7 “error” – – 2 – – 9 Output Q (5) (5, 3) (3, 7) (7) () () true () (9, 7) (9, 7, 3) (9, 7, 3, 5) (7, 3, 5) Queues 3

Applications of Queues q Direct applications n n n q Waiting lists, bureaucracy Access to shared resources (e. g. , printer) Multiprogramming Indirect applications n n Auxiliary data structure for algorithms Component of other data structures © 2010 Goodrich, Tamassia Queues 4

Array-based Queue q q Use an array of size N in a circular fashion Two variables keep track of the front and rear f index of the front element r index immediately past the rear element q Array location r is kept empty normal configuration Q 0 1 2 f r wrapped-around configuration Q 0 1 2 © 2010 Goodrich, Tamassia r f Queues 5

Queue Operations q We use the modulo operator (remainder of division) Algorithm size() return (N f + r) mod N Algorithm is. Empty() return (f = r) Q 0 1 2 f 0 1 2 r r Q © 2010 Goodrich, Tamassia f Queues 6

Queue Operations (cont. ) q q Operation enqueue throws an exception if the array is full This exception is implementationdependent Algorithm enqueue(o) if size() = N 1 then throw Full. Queue. Exception else Q[r] o r (r + 1) mod N Q 0 1 2 f 0 1 2 r r Q © 2010 Goodrich, Tamassia f Queues 7

Queue Operations (cont. ) q q Operation dequeue throws an exception if the queue is empty This exception is specified in the queue ADT Algorithm dequeue() if is. Empty() then throw Empty. Queue. Exception else o Q[f] f (f + 1) mod N return o Q 0 1 2 f 0 1 2 r r Q © 2010 Goodrich, Tamassia f Queues 8

Queue Interface in Java q q q Java interface corresponding to our Queue ADT Requires the definition of class Empty. Queue. Exce ption No corresponding built-in Java class © 2010 Goodrich, Tamassia public interface Queue<E> { public int size(); public boolean is. Empty(); public E front() throws Empty. Queue. Exception; public void enqueue(E element); public E dequeue() throws Empty. Queue. Exception; Queues 9

Application: Round Robin Schedulers We can implement a round robin scheduler using a queue Q by repeatedly performing the following steps: q 1. 2. 3. e = Q. dequeue() Service element e Q. enqueue(e) Queue Dequeue Enqueue Shared Service © 2010 Goodrich, Tamassia Queues 10