Description
Assignment 3
Part 1: Concurrent BST Insertion
Lecture 11 describes the problem of concurrent insertion into a binary search tree (BST). Posted on
Piazza is a file ParTreeInsert.java whose main method creates and starts five threads, each of
which inserts five random integers into a tree, and finally prints out all values in the tree. The class
Tree in this file defines the standard insert method but the problem of using this method in
conjunction with threads is that some of the inserted values get dropped from tree due to improper
synchronization – as illustrated in Lecture 11.
A preliminary solution to this problem is to declare insert as a Java ‘synchronized’ method. Doing so
will solve the problem of dropped values, but this solution sacrifices concurrency because values are
now inserted sequentially into the tree.
Your task in Part 1 is to write a method in class Tree called insert_par(n) which preserves the
basic logic of the standard insert, but permits concurrent insertion of values into the tree, with no
dropped values. Concurrent insertion into disjoint subtrees as well as concurrent insertion at different
nodes along any path from the root to a leaf should be allowed. To meet these objectives:
1. Do not declare the method insert_par(n) as a synchronized method.
2. Define two synchronized methods in class Tree, called lock() and unlock(), using which
insert_par(n) can ensure that only one thread at a time is accessing any Tree object.
3. Call the lock() and unlock() methods from insert_par(n) in such a way that any Tree
object is locked for as short a duration as possible.
4. Define lock() and unlock() using Java’s wait-notify constructs. Hint: Their definitions
are similar to other wait-notify examples discussed in the lectures.
Run ParTreeInsert.java replacing the call on insert in class InsertNums by insert_par
and proceed as follows:
1. Check the JIVE object diagram to make sure that it does not have any dropped values, and
check the console output to make sure that the printed values are in ascending order.
2. Bring up the JIVE Search window, choose ‘Object Created’ option, and enter ‘Tree’ for the class
name. There should be 26 entries in the Search Results window for the given test case.
3. Step through the search results one by one, observing the object diagram (with the ‘Stacked’
option) at each step, until you locate at an object diagram showing ‘maximal concurrency’, i.e.,
where there is a maximum number of active threads in disjoint subtrees and also a maximum
number of active threads at different nodes along a path in the tree. There could be more
than one such diagram; choose any ‘maximal concurrency’ object diagram.
4. Save the chosen object diagram from step 3 in a file called A3_obj.png.
What to Submit. Prepare a top-level directory named A3_Part1_UBITId1_UBITId2 if the assignment is
done by a team of two students; otherwise, name it as A3_Part1_UBITId if the assignment is done
solo. (Order the UBITIds in alphabetic order, in the former case.) In this directory, place your
ParTreeInsert.java and A3_obj.png. Compress the directory and submit the compressed file
using the submit_cse522 command. Only one submission per team is required.
Part 2: Readers-Writers with Write Priority
Lecture 12 discusses the Readers-Writers problem, a classic example in the study of concurrency
control. There are two types of concurrent threads, reader threads (readers) and writer threads
(writers), and they concurrently access a database. Readers execute the database ‘read’ operation
while writers execute the database ‘write’ operation. The basic requirement of concurrency control is
that a ‘read’ operation may be executed concurrently by two or more readers, but a ‘write’ operation
should not be executed concurrently with any ‘read’ or any ‘write’ operation.
An important variant of the basic problem is the Readers-Writers problem with Write Priority. Here,
when a writer tries to access the database and is made to wait because of one or more active readers,
all subsequent read requests are delayed until this writer gets to access the database. Active readers
are not pre-empted but are allowed to complete their read operations before the writer begins its
operation. Every waiting writer takes precedence over every waiting reader regardless of the order of
their arrival.
Posted on Piazza is a file ReadersWriters.java containing a complete implementation of the
Readers-Writers problem with Write Priority. This program is written with wait-notify constructs.
Your task in Part 2 is to translate all synchronized methods and wait-notify constructs in terms
Java Semaphores, using the methodology outlined in Lecture 13. Name the translated program as
RW_Semaphore.java. In developing your solution:
1. Use one semaphore for translating synchronized methods.
2. Use one semaphore for waiting readers.
3. Use one semaphore for waiting writers.
4. Implement the notifyAll operation by performing release(s) on the appropriate semaphore.
Install the State Diagram plugin posted on Piazza and run RW_Semaphore.java as follows:
1. Run the program to completion and check that data field in object Database:1 has the value
55555 for the given test case.
2. Save the Execution Trace in a file called RWS.csv and load this file into the State Diagram.
Set the Canvas Dimension as 1200 x 1200 at the bottom of the diagram.
3. From the dropdown menu, choose the variables Database:1->r and Database:1->w.
Draw the State Diagram and check that the basic requirement of concurrency control for the
problem has been met, i.e., in every state of the diagram, the following condition is true:
(w = 1 r = 0) /\ (r > 0 w = 0) /\ (w = 0 \/ w = 1).
Export the diagram to a file called A3_state1.png.
4. From the dropdown menu, choose the variables Database:1->r, Database:1->w,
Database:1->wr and Database:1->ww. Draw the State Diagram and check that the
Writers priority condition has been met, i.e., if ww > 0 in some state then either r = 0 in that
state or the value of r should monotonically decrease and reach 0 in some future state and
should remain at 0 until ww becomes 0 at a subsequent future state. Export the diagram to a
file called A3_state2.png.
5. Finally, from the dropdown menu choose the variables Database:1->r, Database:1->w,
and Database:1->data. Draw the State Diagram and export it to a file called
A3_state3.png. This diagram also helps you check the Writers priority condition.
What to Submit. Prepare a top-level directory named A3_Part2_UBITId1_UBITId2 if the assignment is
done by a team of two students; otherwise, name it as A3_Part2_UBITId if the assignment is done
solo. (Order the UBITIds in alphabetic order, in the former case.) In this directory, place
RW_Semaphore.java , RWS.csv, A3_state1.png, A3_state2.png and A3_state3.png.
Compress the directory and submit the compressed file using the submit_cse522 command. Only
one submission per team is required.
End of Assignment 3
