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A single machine work center has five jobs assigned to it. They are labeled, in the order of their arrival in the shop, as jobs A, B, C, D and E. The...
A single machine work center has five jobs assigned to it. They are labeled, in the order of their arrival in the shop, as jobs A, B, C, D and E. The work center may work on only one job at a time and must complete any job it starts before starting another job. Job A has a processing time of 6 days and is due to the customer in 9 days. Job B has a processing time of 2 days and is due in 16 days. Job C has a processing time of 4 days and is due in 10 days. Job D has a processing time of 3 days and is due in 7 days. Job E has a processing time of 5 days and is due in 12 days. Using the first-come-first-served priority rule, what is the number of tardy jobs?0 (zero)1234________________________________________2. A single machine work center has five jobs assigned to it. They are labeled, in the order of their arrival in the shop, as jobs A, B, C, D and E. The work center may work on only one job at a time and must complete any job it starts before starting another job. Job A has a processing time of 6 days and is due to the customer in 9 days. Job B has a processing time of 2 days and is due in 16 days. Job C has a processing time of 4 days and is due in 10 days. Job D has a processing time of 3 days and is due in 7 days. Job E has a processing time of 5 days and is due in 12 days. Using the shortest (earliest) due date rule, what is the average completion (flow) time of all jobs?4.012.62.6________________________________________3. A single machine work center has five jobs assigned to it. They are labeled, in the order of their arrival in the shop, as jobs A, B, C, D and E. The work center may work on only one job at a time and must complete any job it starts before starting another job. Job A has a processing time of 6 days and is due to the customer in 9 days. Job B has a processing time of 2 days and is due in 16 days. Job C has a processing time of 4 days and is due in 10 days. Job D has a processing time of 3 days and is due in 7 days. Job E has a processing time of 5 days and is due in 12 days. Using the shortest processing (operating)) time priority rule, what will be the average tardiness of these orders?2.62.03.0________________________________________4. A single machine work center has five jobs assigned to it. They are labeled, in the order of their arrival in the shop, as jobs A, B, C, D and E. The work center may work on only one job at a time and must complete any job it starts before starting another job. Job A has a processing time of 6 days and is due to the customer in 9 days. Job B has a processing time of 2 days and is due in 16 days. Job C has a processing time of 4 days and is due in 10 days. Job D has a processing time of 3 days and is due in 7 days. Job E has a processing time of 5 days and is due in 12 days. Using the shortest processing (operating)) time priority rule, what will be the average number of jobs in the system?5432.5________________________________________5. A machine shop has two machines, M1 and M2. Four jobs, A, B, C, and D need to be processed through machines M1 first and M2 second. Job A will take one hour on machine M1 and three hours on machine M2. Job B will take three hours on M1 and two hours on M2. Job C takes seven hours on M1 and three hours on M2. Job D requires five hours on M1 and one hour on M2. Using Johnson's rule, in what order should these jobs be done? Select one of the following answers:ABCDACBDDABCDACB________________________________________6. Consider the following data for a five-job, 2-machine, flow-shop problem. Find the value of make-span (minimum time to complete all jobs) using the sequence ABCDE.(Note: It is suggested that you draw the Gantt chart first.)TimeJobM1M2A12B42C13D54E3516192030________________________________________7. Which of the following is a measure of whether the job is done ahead of, on, or behind schedule?Average number of jobs in systemMean flow timeMakespanJob tardiness Job lateness________________________________________8. Suppose SPT rule is being used in a “dynamic” scheduling problem. There are five jobs: A, B, C, D, and E ready to be processed at the present time. The processing times for the five jobs are 1, 9, 7, 2, and 6 days, respectively. A new job F will arrive on the 8th day. The processing time for job F is 5 days. On which day (from present time) job F will be completed?________________________________________9. Assume you are sequencing a set of jobs using Johnson's rule. One of the jobs requires 3 hours to assemble and then is followed by 2 hours in the painting department. When this job is picked up for scheduling, which of the following is where you would schedule this job?As early as possible in the unfilled job sequence As late as possible in the unfilled job sequence The schedule would depend on the due date Does not matter Johnson's rule does not apply ________________________________________10. Which scheduling rule will minimize the average number of jobs in a single machine scheduling problem?First Come First Served (FCFS)Earliest Due Date (EDD)Shortest Processing Time (SPT)Does not matter which rule you use. All rules will give the same answer.________________________________________11. Use the data given in the following table and the relationships between activities shown in the Activity on Node (AON) network. Find the project duration (earliest completion time of the project. ActivityABCDEFGTime (days)56949342122252831________________________________________12. Use the data given in the following table and the relationships between activities shown in the Activity on Node (AON) network. What is the latest start time of activity C if the project completion time (due date) is set at 33 day?ActivityABCDEFGTime (days)56949345733Zero (0)________________________________________13. The data for a Time-Cost CPM Scheduling model analysis are given below. The times are in days. What is the minimum cost to complete this project in 14 days?(Hint: This problem requires crashing).ActivityImmediate PredecessorNormal TimeCrash TimeNormal Cost ($)Crash Cost ($)ANone4220004000BA4330006000CA2120002500DB and C4250005600ED316000900018,00027,10018,300300________________________________________14. You are working on a project that has 12 activities. You determine that the critical path consists of only five activities. You then compute the variances for the five critical path activities and these variances are 3, 4, 2, 1, and 6 days. If the desired completion date for the project is 44 days and the expected completion date for the project is 40 days, which of the following alternatives gives the probability that the project will be completed by the desired completion date?Close to 1.0Close to 0.3413Close to 0.8413Close to 0.5987Close to 0.0987________________________________________15. Suppose the length of critical path in a project is 50 days. The probability of completing the project within 50 days is:less than 50%greater than 50%equal to 50%cannot be determined from the above data________________________________________16. Suppose the length of critical path in a project is 40 days and the standard deviation is 2 days. What due date should be set for the project so that the probability of completing the project is 95%?Round the answer to the nearest higher integer.42434445________________________________________17. The longest path in a network is called the critical path. Is it possible to have more than one critical path in a network?YesNo________________________________________18. You have collected the data for a Time-Cost CPM Scheduling model analysis. The time is in days and the project “direct costs” are given below. ActivityImmediate PredecessorNormal Time (days)Crash Time (days)Normal Cost (Direct) $Crash Cost (Direct) $ANone32300400BA33100100CA11200200DB and C32400550ED21500900FE33200200GF22100100The indirect costs for the project are determined on a daily duration basis and are given below:Total indirect costs for 16 days of project duration: $600Total indirect costs for 15 days of project duration: $400Total indirect costs for 14 days of project duration: $200Total indirect costs for 13 days of project duration: $100At what project duration do we achieve the lowest total project cost (i.e., direct plus indirect costs)? 16 days 15 days 14 days 13 days ________________________________________19. Consider a project having the following 10 activities. What is the critical path?ActivityABCDEFGHIJImmediate PredecessorsNoneNoneAA,BC,DDCE,GE,FH,ITime (weeks) 7356449865A-C-G-H-JA-B-C-D-E-F-G-H-I-JA-D-E-H-JB-D-F-IJ________________________________________20. Consider a project having the following 10 activities. What is the slack time of activity B?ActivityABCDEFGHIJImmediate PredecessorsNoneNoneAA,BC,DDCE,GE,FH,ITime (weeks) 7356449865zero 811319
