Dynamic group job shop scheduling

Sectoral Advanced Planning Systems (APS) Based on Utility Functions

“…A distinctive feature of this algorithm in comparison with the similar algorithm given in Mauergauz Y. [17] is the presence of step 8 to determine the contents of buffers. The corresponding procedure is carried out according to rules a)-e) of the previous paragraph.…”

Bi-criteria scheduling for Multistage Multiproduct Batch Plants with Due Dates and Setups

“…The manufacturer's attitude to the order changes with time, and the appropriate function is named production intensity. This function for multistage manufacturing and order execution without preemption (in a single batch) is [19] as…”

“…Thus, the operation finishes at the moment t k + p kj . As it was demonstrated in [19], the utility of the entire set of orders at any level of operation tree may be computed by one of two recurrent formulas, which are used, if the utility value is known at the previous level: integrals and necessary tables are described in [20].…”

“…The Pareto compromise curve serves as such limit, because in its points the criterion U improvement (diminution) means the criterion V deterioration (diminution). For solving the problem (10), similar to [19], it makes sense to apply the method, based on the MO-Greedy approach [21].…”