A max-plus algebra approach for generating a non-delay schedule
Žužek, Tena ; Peperko, Aljoša ; Kušar, Janez, 1958-
A Max-Plus algebra is one of the promising mathematical approaches that can be usedfor scheduling operations. It was already applied for the presentation of Johnson%s algorithm and forsolving cyclic ...jobshop problems, but it had not yet been applied for non-delay schedules. In this article,max-plus algebra is used to formally present the generation of a non-delay schedule for the first time.We present a simple algorithm for generating matrices of starting and finishing times of operations,using max-plus algebra formalism. We apply the LRPT (Longest Remaining Processing Time) rule asthe priority rule, and the SPT (Shortest Processing Time) rule as the tie-breaking rule. The algorithmis applicable for any other pair of priority rules with a few minor adjustments.
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