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Economic lot scheduling of fully loaded processes with external setups
Author(s) -
Inman Robert R.,
Jones Philip C.,
Gallego Guillermo M.
Publication year - 1991
Publication title -
naval research logistics (nrl)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.665
H-Index - 68
eISSN - 1520-6750
pISSN - 0894-069X
DOI - 10.1002/1520-6750(199110)38:5<699::aid-nav3220380505>3.0.co;2-j
Subject(s) - schedule , scheduling (production processes) , computer science , mathematical optimization , aggregate (composite) , class (philosophy) , operations research , mathematics , artificial intelligence , materials science , composite material , operating system
Without restricting the class of permissible schedules, we derive optimal schedules for economic lot scheduling problems that are fully loaded, have external setups, and have only two products. The fully loaded condition accurately represents certain types of bottlenecks. We show that the optimal schedule must have the Wagner‐Whitin property. We also develop a measure of aggregate inventory, derive an optimal steady‐state aggregate inventory policy, and provide conditions under which the aggregate inventory level of an optimal schedule must approach a steady state. By restricting the class of permissible schedules to rotation cycle schedules, we extend these results to more than two products.