M. Andy Rudhito, Sri Wahyuni, Ari Suparwanto, F. Susilodipresentasikan pada: The 6-th SEAMS-GMU 2011 International Conference on Mathematics and Its Applications. July 12-15, 2011.
Abstract. The activity times in a queuing network are seldom precisely known, and then could be represented into the fuzzy number, that is called fuzzy activity times. This paper aims to determine the dynamical model of a closed serial queuing network with fuzzy activity time and its periodic properties using max-plus algebra approach. The finding shows that the dynamics of the network can be modeled as a recursive system of fuzzy number max-plus linear equations. The periodic properties of the network can be obtained from the fuzzy number max-plus eigenvalue and eigenvector of matrix in the system. In the network, for a given level of risk, it can be determined the earliest of early departure time of a customer, so that the customer's departure interval time will be in the smallest interval where the lower bound and upper bound are periodic.
Key words and Phrases: max-plus algebra, queuing network, fuzzy activity times, periodic.
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