A municipal government wants to improve the efficiency of the local court system. It has collected data on the average length of time a particular judge requires to handle each type of case. Given the composition of the types of cases scheduled on each docket (the official schedule of proceedings in lawsuits pending in a court of law), the times shown in the table were estimated for each judge to process each different docket. Determine the assignment of judges to dockets to minimize the time required to complete all dockets. Judge 1 2 3 4 5 A 13 20 18 25 15 B 17. 15 21 20 18 Dockets C 21 15 18 17 20 D 18 24 17 14 25 E 22 15 25 19 13

2.18 (Shapiro, 2001, Exercise 4.3, p. 165) Home Grocery is a new company that makes same-day deliveries of groceries to people's homes. The company is launching its business in Metropolis, a large urban area. The marketing department has identified eight neighborhoods in Metropolis where the company should concentrate its business. The logistics manager has identified six locations where the company may locate grocery depots. Table 2.8 shows the average time (in minutes) required to travel from each of the six potential depot locations to the center of each of the eight neighborhoods. It also shows the target population (in thousands) for the company's service in each neighborhood. The company wishes to locate two depots so that they maximize the population served within 12 min of average travel time. Formulate the problem as an IP model. TABLE 2.8 Travel Times from Depots to Neighborhoods Depots Neighborhoods 2 3 4 5 Population 1 15 17 27 5 25 22 12 10 12 24 4 22 20 8 5 6. 17 9 21 17…

3) to final assembly for an important customer order. Currently, all eight jobs are in department X and must be routed to department Y after processing. The processing times (in days) for each job in each department follow: The machine shop of Reliable Manufacturing has to schedule eight jobs that are to be sent Dept/Job Dept. X Dept. Y A B C D E F G H 2 4 7 5 4 10 3 3 8 2 6 5 Develop two schedules for operations in both departments. For your first schedule, use the SPT priority rule (based on X). Your second schedule should be based on Johnson's Rule. Compare the two schedules using average flow time, makespan, and average WIP inventory. Use a Gantt chart to display your schedules (i.e. a timeline).

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