Thread: 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)

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);
   }
}

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;
   }
}

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;
   }
 
}