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(2) Currently, the university can store 500 files on a cloud server, 200 files on solid-state drives (SSDs), and 600 files on network-attached storage (NAS)
(2) Currently, the university can store 500 files on a cloud server, 200 files on solid-state drives (SSDs), and 600 files on network-attached storage (NAS) systems. Users want to store 400 documents, 200 application files, and 200 multimedia files. Each month, a typical document is accessed ten times, a typical application file five times, and a typical multimedia file three times. When a file is accessed, the time it takes for the file to be retrieved depends on the type of file and the storage medium. Documents (400 files) Application Files (200 files) Multimedia Files (200 files) 80 ms 100 ms Cloud Server (500 files) 120 ms 70 ms 50 ms SSD (200 files) 180 ms 150 ms NAS (600 files) If the goal is to minimize the total time per month that users spend accessing their files, 40 ms 130 ms Provide a balanced transportation tableau that can be used to determine where files should be stored. Provide a mathematical model for your balanced model in closed form. Define your sets, deci- sion variables, and parameters properly.
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