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- W1567797059 abstract "Many fundamental problems in the max-plus-algebraic system theory for discrete event systems — among which the minimal state space realization problem — can be solved using an Extended Linear Complementarity Problem (ELCP). We present some new, more efficient methods to solve the ELCP. We show that an ELCP with a bounded feasible set can be recast as a standard Linear Complementarity Problem (LCP). Our proof results in three possible numerical solution methods for a given ELCP: regular ELCP algorithms, mixed integer linear programming algorithms, and regular LCP algorithms. We also apply these three methods to a basic max-plus-algebraic benchmark problem." @default.
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- W1567797059 date "2002-01-01" @default.
- W1567797059 modified "2023-09-30" @default.
- W1567797059 title "MAX-PLUS-ALGEBRAIC PROBLEMS AND THE EXTENDED LINEAR COMPLEMENTARITY PROBLEM — ALGORITHMIC ASPECTS" @default.
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- W1567797059 doi "https://doi.org/10.3182/20020721-6-es-1901.00513" @default.
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