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System design is an NP‐complete problem

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  • William L. Chapman
  • Jerzy Rozenblit
  • A. Terry Bahill

Abstract

The system design process translates the customers' needs into a buildable system design. It requires selecting subsystems from an allowable set and matching the interfaces between them. Designs that meet the top‐level input and output requirements are tested to see how well they meet the system's performance and cost goals. This paper proves that the System Design Problem is NP‐complete by reduction from the Knapsack Problem, which is known to be NP‐complete. The implication of this proof is that designing optimal systems with deterministic, polynomial time procedures is not possible. This is the primary reason why engineers do not try to produce optimal systems: They merely produce designs that are good enough. © 2001 John Wiley & Sons, Inc. Syst Eng 4: 222–229, 2001

Suggested Citation

  • William L. Chapman & Jerzy Rozenblit & A. Terry Bahill, 2001. "System design is an NP‐complete problem," Systems Engineering, John Wiley & Sons, vol. 4(3), pages 222-229.
    • Handle: RePEc:wly:syseng:v:4:y:2001:i:3:p:222-229
    DOI: 10.1002/sys.1018
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    References listed on IDEAS

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    1. A. Wayne Wymore & A. Terry Bahill, 2000. "When can we safely reuse systems, upgrade systems, or use COTS components?," Systems Engineering, John Wiley & Sons, vol. 3(2), pages 82-95.
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