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HW3 - Homework#3 Due Date Wednesday October 13th start of...

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Homework #3 Due Date: Wednesday, October 13th, start of class 1. A new Indian restaurant called ‘Mayura’ is gaining popularity amongst USC students due to its food quality. To improve customer service, the restaurant staff have decided to put up an online menu so that customers arrive at Mayura with their order choices already decided prior to arrival. However, every day, at 9 PM, several customers arrive simultaneously with dinner orders, and that becomes too much for the only chef at Mayura to handle, who can process only one order at a time. The chef complains to his miserly manager, who refuses to hire another chef. Instead, he resorts to Ranjan, who is a frequent customer, for suggestions about how the chef could sequence customer requests so as to minimize the average wait time, 1 n n i =1 w i , for each customer. (For example, if there are 3 customers with food preparation times (in minutes) t 1 = 2 , t 2 = 4 , t 3 = 3, and the customers are served in order (3 , 1 , 2), the wait times of customers are w 3 = 3 , w 1 = 5 , w 2 = 9, with average wait time of 17 3 .) (a) Give an efficient algorithm to find the optimal order to serve the customers with
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