Skip to main content
SpringerLink
Log in

Alignment Problem

  • Reference work entry
Encyclopedia of Optimization

  • 578 Accesses

Article Outline

Keywords

Alignment Problem

  Communication-Free Alignment Problem

  Constant-Degree Parallelism Alignment Problem

Solving the Alignment Problem

  Communication-Free Alignment Approaches

  Alignment Approaches Based on Generating HPF like Data Distributions

  Approaches Using a Graph Based Framework

  Approaches Using a Linear Algebra Framework

  Other Approaches

Conclusion

See also

References

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 2,500.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book
USD 2,499.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Anderson JM, Lam MS (1993) Global optimizations for parallelism and locality on scalable parallel machines. In: ACM SIGPLAN Conf. Programming Language Design and Implementation (PLDI '93). ACM, New York, pp 112–125

    Google Scholar 

  2. Bau D, Kodukula I, Kotylar V, Pingali K, Stodghill P (1994) Solving alignment using elementary linear algebra. In: 7th Internat. Workshop Languages and Compilers for Parallel Computing (LCPC '94). In: Lecture Notes Computer Sci, vol 892. Springer, Berlin, pp 46–60

    Google Scholar 

  3. Bixby R, Kennedy K, Kremer U (1994) Automatic data layout using 0–1 integer programming. Internat. Conf. Parallel Architectures and Compilation Techniques (PACT '94). pp 111–122

    Google Scholar 

  4. Chapman BM, Fahringer T, Zima HP (1993) Automatic support for data distribution on distributed memory multiprocessor systems. In: 6th Internat. Workshop Languages and Compilers for Parallel Computing (LCPC '93). In: Lecture Notes Computer Sci, vol 768. Springer, Berlin, pp 184–199

    Google Scholar 

  5. Chatterjee S, Gilbert JR, Schreiber R, Sheffler TJ (1994) Array distribution in data-parallel programs. In: 7th Internat. Workshop Languages and Compilers for Parallel Computing (LCPC '94). In: Lecture Notes Computer Sci, vol 892. Springer, Berlin, pp 78–91

    Google Scholar 

  6. Chen T-S, Sheu J-P (1994) Communication-free data allocation techniques for parallelizing compilers on multicomputers. IEEE Trans Parallel and Distributed Systems 5(9):921–938

    Google Scholar 

  7. Crooks P, Perrott RH (1993) An automatic data distribution generator for distributed memory MIMD machines. In: 4th Internat. Workshop Compilers for Parallel Computers, pp 33–44

    Google Scholar 

  8. Darte A, Robert Y (1994) On the alignment problem. Parallel Proc Lett 4(3):259–270

    MathSciNet  Google Scholar 

  9. Diderich CG (1998) Automatic data distribution for massively parallel distributed memory computers. PhD Thesis. Computer Sci. Dept. Swiss Federal Inst. Tech., Lausanne

    Google Scholar 

  10. Diderich CG, Gengler M (1997) The alignment problem in a linear algebra framework. In: Proc. Hawaii Internat. Conf. System Sci. (HICSS-30); Software Techn. Track. IEEE Computer Soc Press, New York, pp 586–595

    Google Scholar 

  11. Dierstein A, Hayer R, Rauber T (1994) The ADDAP system on the iPSC/860: Automatic data distribution and parallelization. J Parallel Distributed Comput 32(9):1–10

    Google Scholar 

  12. Dion M (1996) Alignement et distribution en parallélisation automatique. PhD Thesis. Ecole Normale Sup. Lyon (In French)

    Google Scholar 

  13. Dion M, Robert Y (1996) Mapping affine loop nests. Parallel Comput 22:1373–1397

    MathSciNet  MATH  Google Scholar 

  14. Feautrier P (1992) Towards automatic distribution. Parallel Proc Lett 4(3):233–244

    Google Scholar 

  15. Garcia J, Ayguadé E, Labarta J (1995) A novel approach towards automatic data distribution. In: Supercomputing '95 Conf

    Google Scholar 

  16. Gupta M (1992) Automatic data partitioning on distributed memory multicomputers. PhD Thesis. Univ. Illinois at Urbana‐Champaign, Urbana, IL

    Google Scholar 

  17. Huang C-H, Sadayappan P (1991) Communication-free hyperplane partitioning of nested loops. In: 4th Internat Workshop Languages and Compilers for Parallel Computing (LCPC '91), vol 589. In: Lecture Notes Computer Sci, vol 589. Springer, Berlin, pp 186–200

    Google Scholar 

  18. Kelly W, Pugh W (1996) Minimizing communication while preserving parallelism. In: 1996 ACM Internat. Conf. Supercomputing (ICS '96). ACM, New York, pp 52–60

    Google Scholar 

  19. Knobe K, Lukas JD, Steele GL Jr (1990) Data optimization: Allocation of arrays to reduce communication on SIMD machines. J Parallel Distributed Comput 8(2):102–118

    Google Scholar 

  20. Kunchithapadam K, Miller BP (1994) Optimizing array distributions in data-parallel programs. In: 7th Internat. Workshop Languages and Compilers for Parallel Computing (LCPC '94). In: Lecture Notes Computer Sci, vol 892. Springer, Berlin, pp 470–484

    Google Scholar 

  21. Lamport L (1974) The parallel execution of DO loops. Comm ACM 17(2):83–93

    MathSciNet  MATH  Google Scholar 

  22. Li J, Chen M (1990) Index domain alignment: Minimizing cost of cross-referencing between distributed arrays. In: 3rd Symp. Frontiers of Massively Parallel Computation (Frontiers '90). IEEE Computer Soc Press, New York, pp 424–433

    Google Scholar 

  23. Li J, Chen M (1991) The data alignment phase in compiling programs for distributed-memory machines. J Parallel Distributed Comput 13:213–221

    Google Scholar 

  24. Lim AW, Lam MS (1994) Communication-free parallelization via affine transformations. In: 7th Internat. Workshop Languages and Compilers for Parallel Computing (LCPC '94). In: Lecture Notes Computer Sci, vol 892. Springer, Berlin, pp 92–106

    Google Scholar 

  25. Mongenet C (1995) Mappings for communications minimization using distribution and alignment. In: Internat. Conf. Parallel Architectures and Compilation Techniques (PACT '95). pp 185–193

    Google Scholar 

  26. O'Boyle M (1993) A data partitioning algorithm for distributed memory compilation. Techn Report Ser Univ Manchester, England UMCS-93-7-1

    Google Scholar 

  27. O'Boyle M, Hedayat GA (1992) Data alignment: Transformation to reduce communication on distributed memory architectures. In: Scalable High Performance Computing Conf. (SHPCC '92). IEEE Computer Soc Press, New York, pp 366–371

    Google Scholar 

  28. Platonoff A (1995) Automatic data distribution for massively parallel computers. In: Int. Workshop Compilers for Parallel Computers, pp 555–570

    Google Scholar 

  29. Platonoff A (1995) Contribution à la distribution automatique des données pour machines massivement parallèles. PhD Thesis. Ecole Normale Sup. Mines de Paris (In French)

    Google Scholar 

  30. Ramanujam J, Sadayappan P (1991) Compile-time techniques for data distribution in distributed memory machines. IEEE Trans Parallel and Distributed Systems 2(4):472–482

    Google Scholar 

  31. Sheu J-P, Tai T-H (1991) Partitioning and mapping nested loops on multiprocessor systems. IEEE Trans Parallel and Distributed Systems 2(4):430–439

    Google Scholar 

  32. Sinharoy B, Szymanski BK (1994) Data and task alignment in distributed memory architectures. J Parallel Distributed Comput 21:61–74

    Google Scholar 

  33. Wolfe M, Ikei M (1994) Automatic array alignment for distributed memory multicomputers. 27th Annual Hawaii Internat. Conf. System Sci., vol II. IEEE Computer Soc. Press, New York, pp 23–32

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Computer Sci. Department, Swiss Federal Institute Technology-Lausanne, Lausanne, Switzerland

    Claude G. Diderich

  2. Ecole Sup. d'Ingénieurs de Luminy, University Méditerrannée, Marseille, France

    Marc Gengler

Authors
  1. Claude G. Diderich
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Marc Gengler
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Department of Chemical Engineering, Princeton University, Princeton, NJ, 08544-5263, USA

    Christodoulos A. Floudas

  2. Center for Applied Optimization, Department of Industrial and Systems Engineering, University of Florida, Gainesville, FL, 32611-6595, USA

    Panos M. Pardalos

Rights and permissions

Reprints and permissions

Copyright information

© 2008 Springer-Verlag

About this entry

Cite this entry

Diderich, C.G., Gengler, M. (2008). Alignment Problem . In: Floudas, C., Pardalos, P. (eds) Encyclopedia of Optimization. Springer, Boston, MA. https://doi.org/10.1007/978-0-387-74759-0_10

Download citation

Publish with us

Policies and ethics

Search

Navigation