A Markov chain-based yield formula for VLSI fault-tolerant chips

A yield calculation method for the yield formula of fault-tolerant VLSI chips that improves existing methods and combines generalities, ease of computation, and predictability in approximation levels is presented. The method is concerned with the evaluation of the probability that a chip is acceptable given n defects. This is accomplished by introducing a Markov chain model in which each state represents an operating chip configuration, and the state transitions take place in the presence of manufacturing defects. Results from the comparison of this method to a method for memory chip yield evaluation, a method for the M-out-of-N yield problem evaluation, and a method for the square grid chip yield evaluation are presented. >

[1]  C. H. Stapper,et al.  On yield, fault distributions, and clustering of particles , 1986 .

[2]  C.H. Stapper,et al.  Integrated circuit yield statistics , 1983, Proceedings of the IEEE.

[3]  Vincenzo Grassi,et al.  Yield and Performability Evaluation of VLSI Reconfigurable Multiprocessor Structures , 1987, Computer Performance and Reliability.

[4]  T.E. Mangir,et al.  Sources of failures and yield improvement for VLSI and restructurable interconnects for RVLSI and WSI: Part I—Sources of failures and yield improvement for VLSI , 1984, Proceedings of the IEEE.

[5]  Dhiraj K. Pradhan,et al.  TRAM: A Design Methodology for High-Performance, Easily Testable, Multimegabit RAM's , 1988, IEEE Trans. Computers.

[6]  Melvin A. Breuer,et al.  On Area and Yield Considerations for Fault-Tolerant VLSI Processor Arrays , 1984, IEEE Transactions on Computers.

[7]  M. Wada,et al.  A redundancy circuit for a fault-tolerant 256K MOS RAM , 1982, IEEE Journal of Solid-State Circuits.

[8]  C. H. Stapper,et al.  Yield Model for Productivity Optimization of VLSI Memory Chips with Redundancy and Partially Good Product , 1980, IBM J. Res. Dev..

[9]  Dhiraj K. Pradhan,et al.  Modeling the Effect of Redundancy on Yield and Performance of VLSI Systems , 1987, IEEE Transactions on Computers.

[10]  D.K. Pradhan,et al.  Yield and performance enhancement through redundancy in VLSI and WSI multiprocessor systems , 1986, Proceedings of the IEEE.

[11]  Erhan Çinlar,et al.  Introduction to stochastic processes , 1974 .

[12]  Algirdas Avizienis,et al.  Fault-Tolerant Design for VLSI: Effect of Interconnect Requirements on Yield Improvement of VLSI Designs , 1982, IEEE Transactions on Computers.

[13]  Chin-Long Wey On yield consideration for the design of redundant programmable logic arrays , 1988, IEEE Trans. Comput. Aided Des. Integr. Circuits Syst..

[14]  James C. Harden,et al.  Architectural Yield Optimization for WSI , 1988, IEEE Trans. Computers.