{'fraction_non_alphanumeric': 0.019801980198019802, 'fraction_numerical': 0.006600660066006601, 'mean_word_length': 5.1938775510204085, 'pattern_counts': {'":': 0, '<': 0, '<?xml version=': 0, '>': 0, 'https://': 0, 'lorem ipsum': 0, 'www.': 0, 'xml': 0}, 'pii_count': 0, 'substrings_counts': 0, 'word_list_counts': {'cursed_substrings.json': 0, 'profanity_word_list.json': 0, 'sexual_word_list.json': 0, 'zh_pornsignals.json': 0}}
A Note on Stock Replenishment and Shipment Scheduling for Vendor-Managed Inventory Systems

In a recent paper, Cetinkaya and Lee (2000) model integrated inventory control and shipment scheduling in connection with vendor-managed inventory (VMI). The model is optimized by an approximate technique. This note provides a simple procedure for exact optimization, and illustrates that the errors when using the suggested approximate technique may be very large for certain types of problems. We also suggest a new approximation and an adjustment that can be used to improve both the original and new heuristic.