What is the average service rate per hour of weight station

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Reference no: EM132243988

A company produces crushed limestone for the road construction industry. The rock is crushed in a quarry and then sent by trucks to the construction site. Each truck must be weighed before exiting the quarry. There is one weight scale. The trucks arrive at the weigh station and, if necessary, line up to be weighed on a first come, first-served (FIFO) basis. Truck arrivals are Poisson distributed with an average of 12.5 trucks per hour. The time needed to weigh each truck varies but is exponentially distributed with an average of 4 minutes per truck. The entire weighing operation is at a steady state rate. The weigh station does not have a practical limit on the parking space available, hence it can be considered to have an “infinite” calling population. 1. Manually calculate the answers to the following questions and clearly show your calculations on a separate page that you attach to your analysis. a. What is the average service rate per hour of the weight station (i.e., the number of trucks that the station can weigh per hour)? b. What is the average number of trucks in the queue at the test station? c. What is the average number of trucks in the entire queuing system (the queue plus the weight scale)? d. What is the average number of minutes a truck waits to be weighed? e. What is the average number of minutes a truck spends in the entire queuing system? f. What is the probability that a truck will arrive at the weight scale and not wait? g. What percent of arriving trucks would you expect to have to wait? h. Company management has as a goal that a truck should spend on average 5 minutes or less in the entire queuing system. Is this goal being met? Explain

Reference no: EM132243988

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