Question: 1. Go to a small store and record the interarrival- and service-time distributions. If there are several workers, how do the service-time distributions compare to

1. Go to a small store and record the interarrival- and service-time distributions. If there are several workers, how do the service-time distributions compare to one another? Do service-time distri- butions need to be constructed for each type of appliance? (Make sure that the management gives permission to perform this study.) 2. Go to a cafeteria and collect data on the distributions of interarrival and service times. The distribution of interarrival times is probably different for each of the three daily meals and might also vary during the meal--that is, the interarrival time distribution for 11:00 A.M. to 12:00 noon could be different from that for 12:00 noon to 1:00 P.M. Define service time as the time from when the customer reaches the point at which the first selection could be made until the time of exiting from the cafeteria line. (Any reasonable modification of this definition is acceptable.) The service-time distribution probably changes for each meal. Can times of the day or days of the week for either distribution be grouped to suit the homogeneity of the data? (Make sure that the management gives permission to perform this study.) 3. Go to a major traffic intersection and record the interarrival-time distributions from each direc- tion. Some arrivals want to go straight, some turn left, some turn right. The interarrival-time distribution varies during the day and by day of the week. Every now and then an accident occurs. Develop an input model for your data. 4. Go to a grocery store and construct the interarrival and service distributions at the checkout coun- ters. These distributions might vary by time of day and by day of week. Also record the number of service channels available at all times. (Make sure that the management gives permission to perform this study.) 5. Go to a laundromat and collect data to develop input models for the number of washers and dryers a customer uses (probably dependent). Also collect data on the arrival rate of customers (probably not stationary). (Make sure that the management gives permission to perform this study.) 6. Prepare four theoretical normal density functions, all on the same figure, each distribution having mean zero, but let the standard deviations be 1/4, 1/2, 1, and 2. 1. Go to a small store and record the interarrival- and service-time distributions. If there are several workers, how do the service-time distributions compare to one another? Do service-time distri- butions need to be constructed for each type of appliance? (Make sure that the management gives permission to perform this study.) 2. Go to a cafeteria and collect data on the distributions of interarrival and service times. The distribution of interarrival times is probably different for each of the three daily meals and might also vary during the meal--that is, the interarrival time distribution for 11:00 A.M. to 12:00 noon could be different from that for 12:00 noon to 1:00 P.M. Define service time as the time from when the customer reaches the point at which the first selection could be made until the time of exiting from the cafeteria line. (Any reasonable modification of this definition is acceptable.) The service-time distribution probably changes for each meal. Can times of the day or days of the week for either distribution be grouped to suit the homogeneity of the data? (Make sure that the management gives permission to perform this study.) 3. Go to a major traffic intersection and record the interarrival-time distributions from each direc- tion. Some arrivals want to go straight, some turn left, some turn right. The interarrival-time distribution varies during the day and by day of the week. Every now and then an accident occurs. Develop an input model for your data. 4. Go to a grocery store and construct the interarrival and service distributions at the checkout coun- ters. These distributions might vary by time of day and by day of week. Also record the number of service channels available at all times. (Make sure that the management gives permission to perform this study.) 5. Go to a laundromat and collect data to develop input models for the number of washers and dryers a customer uses (probably dependent). Also collect data on the arrival rate of customers (probably not stationary). (Make sure that the management gives permission to perform this study.) 6. Prepare four theoretical normal density functions, all on the same figure, each distribution having mean zero, but let the standard deviations be 1/4, 1/2, 1, and 2
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