Concept explainers
A
Interpretation: The sequence of the trucks that should be unloaded so as to minimize the mean flow time is to be determined.
Concept Introduction: Under the mean flow time, the schedule to be defined will be the sum of time required for executing all tasks in the system.
B
Interpretation: The sequence of the trucks that should be unloaded so as to minimize the maximum lateness is to be determined.
Concept Introduction: The job sequencing process is the process in which the jobs are arranged in a particular order.
C
Interpretation: Based on the given information in the above problem, find out the sequence of the trucks that should be unloaded so as to minimize the number of tardy jobs.
Concept Introduction: The tardy jobs are those that result in delay in executing the related operations..
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Production and Operations Analysis, Seventh Edition
- The company has received 7 special jobs. These jobs have to go through Process X, Process Y and then Process Z in sequence. Each of the processes is operated by a dedicated machine. What is the optimal sequence to schedule the jobs? Show your steps. If there is more than one optimal sequence under the adapted Johnson’s rule, show them all.arrow_forwardSeven jobs are to be processed through a single machine. The processing times anddue dates are given here.Job 1 2 3 4 5 6 7Processing time 3 6 8 4 2 1 7Due date 4 8 12 15 11 25 21Determine the sequence of the jobs in order to minimizea. Mean flow time.b. Number of tardy jobs.c. Maximum lateness.d. What is the makespan for any sequence?arrow_forwardFive jobs must be scheduled for batch processing on a mainframe computer system. The processing times and the promised times for each of the jobs are listedhere.Job 1 2 3 4 5Processing time 40 min 2.5 hr 20 min 4 hr 1.5 hrPromised time 11:00 A.M. 2:00 P.M. 2:00 P.M. 1:00 P.M. 4:00 P.M.Assume that the current time is 10:00 A.M.a. If the jobs are scheduled according to SPT, find the tardiness of each job and themean tardiness of all jobs.b. Repeat the calculation in part (a) for EDD schedulingarrow_forward
- Three jobs are to be scheduled on two machines A and B. Assume that the jobs are processed in the sequence A-B (A has to finish the job before B can continue the job). The processing times are: Job A B 1 5 4 2 7 7 3 3 5 Draw a Gantt chart that shows the schedule corresponding to the sequence 1-2-3 of the jobs.arrow_forwardThe Earliest Due date (EDD) rule for sequencing a given set of jobs usually ____________ Select one: a. minimizes the maximum lateness and tardiness. b. minimizes average flow time and work in process inventory. c. maximizes the average lateness and tardiness. d. minimizes the average lateness and tardiness. e. maximizes the minimum lateness and tardiness.arrow_forwardEight jobs are to be processed through a single machine. The processing times and due dates are given here. (given) Furthermore, assume that the following precedence relationships must besatisfied: 2→ 6 → 3. 1 → 4 → 7 → 8.Determine the sequence in which these jobs should be done in order tominimize the maximum lateness subject to the precedence restrictions.arrow_forward
- ose is an employee of XYZ company. He works regularly from 8 AM to 5 PM. One Monday, he was asked by his supervisor to extend working to 8PM of that day because a power interruption scheduled the next morning was announced. Orders from clients need to be completed. Jose left the office at 8:15 PM. Is Jose entitled to Overtime Pay?arrow_forwardThree jobs are to be scheduled on two machines A & B . Assume that the jobs are processed in the Sequence A-B. The processing times are : The Question is : Draw a Gantt Chart that shows the Schedule Corresponding to the sequences 1-2-3 of the jobs Job A B 1 5 4 2 7 7 3 3 5arrow_forwardDevelop a Gantt chart to schedule the 6 jobs. Suppose you want to schedule the jobs in order 1 through 6.arrow_forward
- Jobs A, B, E, F and G must go through Machines M1 and M2 in that sequence. Use Johnson’s Rule to determine the optimal sequence in which to schedule the jobs to minimise the total required time. How much total time is required to process all the seven jobs? Illustrate this using a Gant Chart. Job Processing time on M1 Processing time on M2 A 4 5 B 16 14 C 8 7 D 12 13 E 3 9 F 9 6 G 8 5arrow_forwardAn organization faces heavy penalties for jobs that are not completed on time. Which of the following priority rules should the operations manager use when sequencing jobs? A.EDD: earliest due date B.SPT: shortest processing time C.LPT: longest processing time D.FCFS: first come, first servedarrow_forwardJose is an employee of XYZ company. He works regularly from 8 AM to 5 PM. One Monday, he was asked by his supervisor to extend working to 8PM of that day because a power interruption scheduled the next morning was announced. Orders from clients need to be completed. Jose left the office at 8:15 PM. Does the law allow a rest day to fall on a “Wednesday”?arrow_forward
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