A Small Store Is Trying to Determine If Its Current

question 66

Essay

A small store is trying to determine if its current checkout system is adequate. Currently, there is only one cashier, so it is a single-channel, single-phase system. The store has collected information on the interarrival time, and service time distributions. They are represented in the tables below. Use the following two-digit random numbers given below to simulate 10 customers through the checkout system. What is the average time in line, and average time in system?
(Set first arrival time to the interarrival time generated by first random number.
$$\begin{array} { | c | c | c | c | c | } \hline \begin{array} { c } \text { Interarrival } \\\text { time (minutes) }\end{array} & \text { Probability } & & \begin{array} { c } \text { Service time } \\\text { (minutes) }\end{array} & \text { Probability } \\\hline 3 & .25 & & 1 & .30 \\\hline 4 & .25 & & 2 & .40 \\\hline 5 & .30 & & 3 & .20 \\\hline 6 & .20 & & 4 & .10 \\\hline\end{array}$$
Random numbers for interarrival times: 07, 60, 77, 49, 76, 95, 51, 16, 14, 85
Random numbers of service times: 57, 17, 36, 72, 85, 31, 44, 30, 26, 09

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Definitions:

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The 37th President of the United States, serving from 1969 until his resignation in 1974, known for his role in the Vietnam War and the Watergate scandal.

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Informal name for the Defense Department’s secret history of the Vietnam conflict; leaked to the press by former official Daniel Ellsberg and published in the New York Times in 1971.