This is Data on Customer entering a starbucks and ordering etc within a 15 minute span time

Current state: 1) System description 2) Rate diagram 3) Test of exponential distribution using probability plot and histogram (Minitab screen shots as figures) 4) Queuing system parameters of the current system 5) Analysis of the current system (Pis Ls and Ws) 6) Cost estimation in the current system Future state: 1) Suggested alternatives(s) (such as multiple MM1, one MMS, adding helpers, increase of capacity, other things that would improve the operational characteristics such as and ) 2) Mathematical info and calc. for each model, if necessary 3) Service rate for each alternative 4) Costs estimations for each system 5) Result analysis (comparison of various systems) 6) Final recommendations and discussion

15/11/22 Customer Arrival Time Order time Served time Service time Wait to order time Total time \begin{tabular}{|r|r|r|r|r|r|r|} \hline 1 & 12:03:22 & 12:03:35 & 12:05:35 & 0:02:00 & 0:00:13 & 0:02:13 \\ \hline 2 & 12:05:04 & 12:05:12 & 12:05:56 & 0:00:44 & 0:00:08 & 0:00:52 \\ \hline 3 & 12:05:04 & 12:05:18 & 12:06:18 & 0:01:00 & 0:00:14 & 0:01:14 \\ \hline 4 & 12:08:20 & 12:08:23 & 12:09:15 & 0:00:52 & 0:00:03 & 0:00:55 \\ \hline 5 & 12:12:58 & 12:13:05 & 12:15:00 & 0:01:55 & 0:00:07 & 0:02:02 \\ \hline 6 & 12:13:30 & 12:13:36 & 12:14:56 & 0:01:20 & 0:00:06 & 0:01:26 \\ \hline 7 & 12:15:57 & 12:16:00 & 12:17:58 & 0:01:58 & 0:00:03 & 0:02:01 \\ \hline 8 & 12:24:03 & 12:24:06 & 12:25:06 & 0:01:00 & 0:00:03 & 0:01:03 \\ \hline \end{tabular} 22/11/22 Customer Arrival Time Order time Served time Service time Wait to order time Total time \begin{tabular}{|r|r|r|r|r|r|r|} \hline 1 & 12:00:35 & 12:00:55 & 12:01:20 & 0:00:25 & 0:00:20 & 0:00:45 \\ \hline 2 & 12:09:03 & 12:09:12 & 12:09:15 & 0:00:03 & 0:00:09 & 0:00:12 \\ \hline 3 & 12:14:08 & 12:14:10 & 12:15:23 & 0:01:13 & 0:00:02 & 0:01:15 \\ \hline 4 & 12:14:12 & 12:14:14 & 12:15:34 & 0:01:20 & 0:00:02 & 0:01:22 \\ \hline 5 & 12:14:50 & 12:15:00 & 12:17:00 & 0:02:00 & 0:00:10 & 0:02:10 \\ \hline \end{tabular} 29/11/22 Customer Arrival Time Order time Served time Service time Wait to order time Total time \begin{tabular}{|l|l|l|l|lll|l|} \hline 1 & 12:00:09 & 12:00:11 & 12:02:00 & 0:01:49 & 0:00:02 & 0:01:51 \\ \hline 2 & 12:00:51 & 12:00:54 & 12:01:06 & 0:00:12 & 0:00:03 & 0:00:15 \\ \hline 3 & 12:06:39 & 12:06:42 & 12:07:39 & 0:00:57 & 0:00:03 & 0:01:00 \\ \hline 4 & 12:11:35 & 12:11:37 & 12:13:15 & 0:01:38 & 0:00:02 & 0:01:40 \\ \hline 5 & 12:12:30 & 12:12:33 & 12:14:08 & 0:01:35 & 0:00:03 & 0:01:38 \\ \hline 6 & 12:13:06 & 12:13:12 & 12:14:54 & 0:01:42 & 0:00:06 & 0:01:48 \\ \hline \end{tabular} 8/11/2022 Customer Arrival Time Order time Served time Service time Wait to order time Total time \begin{tabular}{|l|l|l|l|l|l|l|} 1 & 12:03:17 & 12:03:35 & 12:04:25 & 0:00:50 & 0:00:18 & 0:01:08 \\ \hline 2 & 12:04:21 & 12:04:27 & 12:05:56 & 0:01:29 & 0:00:06 & 0:01:35 \\ \hline 3 & 12:05:43 & 12:05:45 & 12:06:18 & 0:00:33 & 0:00:02 & 0:00:35 \\ \hline 4 & 12:07:12 & 12:07:15 & 12:07:56 & 0:00:41 & 0:00:03 & 0:00:44 \\ \hline 5 & 12:07:15 & 12:07:17 & 12:08:03 & 0:00:46 & 0:00:02 & 0:00:48 \\ \hline 6 & 12:09:21 & 12:09:23 & 12:11:06 & 0:01:43 & 0:00:02 & 0:01:45 \\ \hline 7 & 12:14:00 & 12:14:05 & 12:14:13 & 0:00:08 & 0:00:05 & 0:00:13 \\ \hline \end{tabular} 15/11/22 Customer Arrival Time Order time Served time Service time Wait to order time Total time \begin{tabular}{|r|r|r|r|r|r|r|} \hline 1 & 12:03:22 & 12:03:35 & 12:05:35 & 0:02:00 & 0:00:13 & 0:02:13 \\ \hline 2 & 12:05:04 & 12:05:12 & 12:05:56 & 0:00:44 & 0:00:08 & 0:00:52 \\ \hline 3 & 12:05:04 & 12:05:18 & 12:06:18 & 0:01:00 & 0:00:14 & 0:01:14 \\ \hline 4 & 12:08:20 & 12:08:23 & 12:09:15 & 0:00:52 & 0:00:03 & 0:00:55 \\ \hline 5 & 12:12:58 & 12:13:05 & 12:15:00 & 0:01:55 & 0:00:07 & 0:02:02 \\ \hline 6 & 12:13:30 & 12:13:36 & 12:14:56 & 0:01:20 & 0:00:06 & 0:01:26 \\ \hline 7 & 12:15:57 & 12:16:00 & 12:17:58 & 0:01:58 & 0:00:03 & 0:02:01 \\ \hline 8 & 12:24:03 & 12:24:06 & 12:25:06 & 0:01:00 & 0:00:03 & 0:01:03 \\ \hline \end{tabular} 22/11/22 Customer Arrival Time Order time Served time Service time Wait to order time Total time \begin{tabular}{|r|r|r|r|r|r|r|} \hline 1 & 12:00:35 & 12:00:55 & 12:01:20 & 0:00:25 & 0:00:20 & 0:00:45 \\ \hline 2 & 12:09:03 & 12:09:12 & 12:09:15 & 0:00:03 & 0:00:09 & 0:00:12 \\ \hline 3 & 12:14:08 & 12:14:10 & 12:15:23 & 0:01:13 & 0:00:02 & 0:01:15 \\ \hline 4 & 12:14:12 & 12:14:14 & 12:15:34 & 0:01:20 & 0:00:02 & 0:01:22 \\ \hline 5 & 12:14:50 & 12:15:00 & 12:17:00 & 0:02:00 & 0:00:10 & 0:02:10 \\ \hline \end{tabular} 29/11/22 Customer Arrival Time Order time Served time Service time Wait to order time Total time \begin{tabular}{|l|l|l|l|lll|l|} \hline 1 & 12:00:09 & 12:00:11 & 12:02:00 & 0:01:49 & 0:00:02 & 0:01:51 \\ \hline 2 & 12:00:51 & 12:00:54 & 12:01:06 & 0:00:12 & 0:00:03 & 0:00:15 \\ \hline 3 & 12:06:39 & 12:06:42 & 12:07:39 & 0:00:57 & 0:00:03 & 0:01:00 \\ \hline 4 & 12:11:35 & 12:11:37 & 12:13:15 & 0:01:38 & 0:00:02 & 0:01:40 \\ \hline 5 & 12:12:30 & 12:12:33 & 12:14:08 & 0:01:35 & 0:00:03 & 0:01:38 \\ \hline 6 & 12:13:06 & 12:13:12 & 12:14:54 & 0:01:42 & 0:00:06 & 0:01:48 \\ \hline \end{tabular} 8/11/2022 Customer Arrival Time Order time Served time Service time Wait to order time Total time \begin{tabular}{|l|l|l|l|l|l|l|} 1 & 12:03:17 & 12:03:35 & 12:04:25 & 0:00:50 & 0:00:18 & 0:01:08 \\ \hline 2 & 12:04:21 & 12:04:27 & 12:05:56 & 0:01:29 & 0:00:06 & 0:01:35 \\ \hline 3 & 12:05:43 & 12:05:45 & 12:06:18 & 0:00:33 & 0:00:02 & 0:00:35 \\ \hline 4 & 12:07:12 & 12:07:15 & 12:07:56 & 0:00:41 & 0:00:03 & 0:00:44 \\ \hline 5 & 12:07:15 & 12:07:17 & 12:08:03 & 0:00:46 & 0:00:02 & 0:00:48 \\ \hline 6 & 12:09:21 & 12:09:23 & 12:11:06 & 0:01:43 & 0:00:02 & 0:01:45 \\ \hline 7 & 12:14:00 & 12:14:05 & 12:14:13 & 0:00:08 & 0:00:05 & 0:00:13 \\ \hline \end{tabular}