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Problem Set #1
IE 495
Due September 11
Written Problems
1. Explain how you could simulate a shared memory model of computation using a
distributed memory model with one additional processor. [Hint: What does the
interconnection network look like?]
How well do you think this scheme would work in practice? Hint: Consider the time
required to perform a semigroup operation.
2. *Explain some of the potential pitfalls of asymptotic analysis. Do you think that the
models of computation we’ve discussed in class are realistic and/or useful? Why or
why not?
3. *In an effort to design more realistic models of computation, Parberry suggests that
interconnection schemes be limited to those that satisfy the following three properties:
Each processor has a constant number of allpurpose registers.
The degree of the network is a constant.
The interconnection scheme can be computed in polynomial time.
He calls such schemes
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 Fall '08
 Linderoth
 Operations Research

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