The Extended Linear Complementarity Problem Andits Applications in the Max - plus Algebra
نویسندگان
چکیده
In this paper we give a survey of our research on the Extended Linear Complemen-tarity Problem (ELCP). First we discuss the link between the ELCP and other generalizations of the Linear Complementarity Problem, and we present an algorithm to nd all the solutions of an ELCP. Next we introduce the max-plus algebra and show how it can be used to model a certain class of discrete event systems. Finally we show that the ELCP can be used to solve many important problems in the max-plus algebra.
منابع مشابه
Applications of the Extended Linear Complementarity Problem in the Max-plus Algebra
The max-plus algebra is one of the frameworks that can be used to model discrete event systems. We show that many fundamental problems in the maxplus algebra can be reformulated as a mathematical programming problem: the Extended Linear Complementarity Problem.
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