What Algorithm Would Work Best for me?

Hello, I need to modify this movies program so that way the DVDs will be sorted by title at all times. I've gone over several algorithms like bubble sort and binary sort, but I am wondering which algorithm would be best since for this program the performance of the code will be scrutinized, so I need to produce the best modification(s) to achieve the requirements. If you have any suggestions and if you could give me some insight on how I would go about inducing/using the algorithm I would appreciate it.
Thank you for your help. The 3 classes of this program are pasted below. (Movies -> DVDCollection -> DVD)

Code java:

---

public class Movies
{
   //  Creates a DVDCollection object and adds some DVDs to it. Prints
   //  reports on the status of the collection.
   public static void main (String[] args)
   {
      DVDCollection movies = new DVDCollection();
 
      movies.addDVD ("The Godfather", "Francis Ford Coppala", 1972, 24.95, true);
      movies.addDVD ("District 9", "Neill Blomkamp", 2009, 19.95, false);
      movies.addDVD ("Iron Man", "Jon Favreau", 2008, 15.95, false);
      movies.addDVD ("All About Eve", "Joseph Mankiewicz", 1950, 17.50, false);
      movies.addDVD ("The Matrix", "Andy & Lana Wachowski", 1999, 19.95, true);
 
      System.out.println (movies);
 
      movies.addDVD ("Iron Man 2", "Jon Favreau", 2010, 22.99, false);
      movies.addDVD ("Casablanca", "Michael Curtiz", 1942, 19.95, false);
 
      System.out.println (movies);
   }
}

---

Code java:

---

import java.text.NumberFormat;
import java.util.Collections;
public class DVDCollection
{
   private DVD[] collection;
   private int count;
   private double totalCost;
 
   //-----------------------------------------------------------------
   //  Constructor: Creates an initially empty collection.
   //-----------------------------------------------------------------
   public DVDCollection ()
   {
      collection = new DVD[100];
      count = 0;
      totalCost = 0.0;
   }
 
   //  Adds a DVD to the collection, increasing the size of the
   //  collection array if necessary.
 
   public void addDVD (String title, String director, int year, double cost, boolean bluRay)
   {
      if (count == collection.length)
         {
          increaseSize();
          }
 
      collection[count] = new DVD (title, director, year, cost, bluRay);
      totalCost += cost;
      count++;
   }
 
   //  Returns a report describing the DVD collection.
   public String toString()
   {
      NumberFormat fmt = NumberFormat.getCurrencyInstance();
 
      String report = "~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\n";
      report += "My DVD Collection\n\n";
 
      report += "Number of DVDs: " + count + "\n";
      report += "Total cost: " + fmt.format(totalCost) + "\n";
      report += "Average cost: " + fmt.format(totalCost/count);
 
      report += "\n\nDVD List:\n\n";
 
      for (int dvd = 0; dvd < count; dvd++)
      {
          report += collection[dvd].toString() + "\n";
      }
 
      return report;
   }
   //  Increases the capacity of the collection by creating a
   //  larger array and copying the existing collection into it.
 
   private void increaseSize ()
   {
      DVD[] temp = new DVD[collection.length * 2];
 
      for (int dvd = 0; dvd < collection.length; dvd++)
       {
         temp[dvd] = collection[dvd];
        }
 
      collection = temp;
   }
}

---

Code java:

---

import java.text.NumberFormat;
 
public class DVD
{
   private String title, director;
   private int year;
   private double cost;
   private boolean bluRay;
 
   //  Creates a new DVD with the specified information.
 
   public DVD (String title, String director, int year, double cost, boolean bluRay)
   {
      this.title = title;
      this.director = director;
      this.year = year;
      this.cost = cost;
      this.bluRay = bluRay;
   }
 
 
   public String getTitle()
   {
       return title;
   }
   //  Returns a string description of this DVD.
   public String toString()
   {
      NumberFormat fmt = NumberFormat.getCurrencyInstance();
 
      String description;
 
      description = fmt.format(cost) + "\t" + year + "\t";
      description += title + "\t" + director;
 
      if (bluRay)
      {
         description += "\t" + "Blu-Ray";
      }
 
      return description;
   }
 
}

---

Why don't you use collection and get benefit of already provided sorted algorithms?
And if you want to sort by the title, it's upon you to either sort ascending or descending. Read this and find out which one will suit your requirements. Sorting algorithm - Wikipedia, the free encyclopedia

The "best" algorithm/data structure to use depends on the usage patterns. Is the list mostly sorted already? Would it be resorted in a different order? Are you mostly adding, removing, or searching for items?

Thank you for your responses.

This is what it prints right now without any alterations. It is unsorted and basically all over the place.


~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
My DVD Collection

Number of DVDs: 5
Total cost: $98.30
Average cost: $19.66

DVD List:

$24.95 1972 The Godfather Francis Ford Coppala Blu-Ray
$19.95 2009 District 9 Neill Blomkamp
$15.95 2008 Iron Man Jon Favreau
$17.50 1950 All About Eve Joseph Mankiewicz
$19.95 1999 The Matrix Andy & Lana Wachowski Blu-Ray

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
My DVD Collection

Number of DVDs: 7
Total cost: $141.24
Average cost: $20.18

DVD List:

$24.95 1972 The Godfather Francis Ford Coppala Blu-Ray
$19.95 2009 District 9 Neill Blomkamp
$15.95 2008 Iron Man Jon Favreau
$17.50 1950 All About Eve Joseph Mankiewicz
$19.95 1999 The Matrix Andy & Lana Wachowski Blu-Ray
$22.99 2010 Iron Man 2 Jon Favreau
$19.95 1942 Casablanca Michael Curtiz

I know I'm probably calling the array wrong but would this method help me to sort:
I never told it to sort the String "title" so I must have to call that.


public static void sort(DVD [] collection, int counter)
{

int a,b;
String temp;
int sortStrings = counter - 1;
for (a = 0; a < sortStrings; ++a)
for (b = 0; b < sortStrings; ++b)
if(collection[b].compareTo(collection[b + 1]) >0)
{
temp = collection[b];
collection[b] = collection[b + 1];
collection[b + 1] = temp;
}

}