We show that the Economic Lot Schedule Problem (ELSP) is NP-hard in the strong sense under General Cyclic Schedules (GSC), Zero-Inventory Cyclic Schedules (ZICS), Time-Invariant Cyclic Schedules (TICS), Lot-Invariant Cyclic Schedules (LICS), and Basic Period Cyclic Schedules (BPCS).
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Gallego et al. (1997) studied this question.
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