Parallel Random-access Machine - Read/write Conflicts

Read/write Conflicts

Read/write conflicts in accessing the same shared memory location simultaneously are resolved by one of the following strategies:

1. Exclusive read exclusive write (EREW)—every memory cell can be read or written to by only one processor at a time
2. Concurrent read exclusive write (CREW)—multiple processors can read a memory cell but only one can write at a time
3. Exclusive read concurrent write (ERCW)—never considered
4. Concurrent read concurrent write (CRCW)—multiple processors can read and write. A CRCW PRAM is sometimes called a concurrent random-access machine.

Here, E and C stand for 'exclusive' and 'concurrent' respectively. The read causes no discrepancies while the concurrent write is further defined as:

Common—all processors write the same value; otherwise is illegal

Arbitrary—only one arbitrary attempt is successful, others retire

Priority—processor rank indicates who gets to write

Another kind of array reduction operation like SUM, Logical AND or MAX.

Several simplifying assumptions are made while considering the development of algorithms for PRAM. They are:

1. There is no limit on the number of processors in the machine.
2. Any memory location is uniformly accessible from any processor.
3. There is no limit on the amount of shared memory in the system.
4. Resource contention is absent.
5. The programs written on these machines are, in general, of type MIMD. Certain special cases such as SIMD may also be handled in such a framework.

These kinds of algorithms are useful for understanding the exploitation of concurrency, dividing the original problem into similar sub-problems and solving them in parallel.