Artikel: Determining the Latest Completion Times in Project Networks with Fuzzy Activity Times Using Fuzzy Number Max-Plus Algebra

M. Andy Rudhito, Sri Wahyuni, Ari Suparwanto, F. Susilo

dipresentasikan pada: International Conference on Natural and Material Sciences (NAMES 09) , Universitas Lambung Mangkurat, Banjarmasin 3-4 Juli 2009.

Abstract
The activity times in a project 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 fuzzy latest completion times and fuzzy float times in the project networks with fuzzy activity times using fuzzy number max-plus algebra. The finding shows that the project network with fuzzy activity times can be represented as a matrix over fuzzy number max-plus algebra. The project networks dynamics can be represented as a system of fuzzy number max-plus linear equations. The fuzzy latest completion times for each node in the project networks is a solutions vector of the modified system. The fuzzy float times for each activity in the project networks can be determined by using some operations of matrices over interval max-plus algebra.

Keywords: max-plus algebra, fuzzy number, project network, fuzzy activity times, latest completion times,

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