Exam 17: Supplement J Operations Scheduling

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In the context of operations scheduling, total inventory is equal to:

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Table J.12 The Feast Janice prepares a medley of pastas for her brother Tony. Each of the pastas must first be rolled and then formed (or in some cases stuffed) before cooking. The required time on each machine in minutes is indicated in the table. Table J.12 The Feast Janice prepares a medley of pastas for her brother Tony. Each of the pastas must first be rolled and then formed (or in some cases stuffed) before cooking. The required time on each machine in minutes is indicated in the table.    -Janice uses Johnson's rule to schedule her pasta production. What is the average flow time of her seven pastas? -Janice uses Johnson's rule to schedule her pasta production. What is the average flow time of her seven pastas?

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Why is flow time an important measure of performance?

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When choosing a priority sequencing rule:

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Table J.2 Stu Dent reviews the syllabi he received on the first day of class and pulls out his planner. He has seven major assignments that must be completed before the end of the semester. Table J.2 Stu Dent reviews the syllabi he received on the first day of class and pulls out his planner. He has seven major assignments that must be completed before the end of the semester.    -Stu schedules his assignments using the critical ratio criterion. How many assignments are late? -Stu schedules his assignments using the critical ratio criterion. How many assignments are late?

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Table J.2 Stu Dent reviews the syllabi he received on the first day of class and pulls out his planner. He has seven major assignments that must be completed before the end of the semester. Table J.2 Stu Dent reviews the syllabi he received on the first day of class and pulls out his planner. He has seven major assignments that must be completed before the end of the semester.    -Develop an SPT sequence and calculate the average number of assignments Stu has this semester. -Develop an SPT sequence and calculate the average number of assignments Stu has this semester.

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An appropriate objective for a manufacturing firm is to maximize total inventory.

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Critical ratio (CR) is a single-dimension priority rule.

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A rule that establishes a job's priority based on one piece of information, such as how long it will take to process or when the job arrived, is a(n) ________.

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The percent of work time productively spent by an employee or a machine is called:

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The earliest due date (EDD) rule gives the job with the shortest processing time the highest priority.

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Table J.8 Auto Data produces custom engineering testing equipment. The following six jobs are currently in the design department. The time since each one arrived, the processing time, and the due date are shown below. All times are expressed in terms of days. Let now be the beginning of Day 1. Table J.8 Auto Data produces custom engineering testing equipment. The following six jobs are currently in the design department. The time since each one arrived, the processing time, and the due date are shown below. All times are expressed in terms of days. Let now be the beginning of Day 1.    -Using the information in Table J.8 and the FCFS rule, what is the average days past due? -Using the information in Table J.8 and the FCFS rule, what is the average days past due?

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Table J.18 Table J.18    -Use the information in Table J.18 and sequence the jobs using the EDD rule. What is the average flow time? -Use the information in Table J.18 and sequence the jobs using the EDD rule. What is the average flow time?

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Table J.6 All of the following three jobs just arrived (end of hour 0) at Workstation A. They are the only ones waiting to be processed. Table J.6 All of the following three jobs just arrived (end of hour 0) at Workstation A. They are the only ones waiting to be processed.    -Use the information in Table J.6. What is the job sequence at Workstation A, using the critical ratio rule? -Use the information in Table J.6. What is the job sequence at Workstation A, using the critical ratio rule?

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Table J.17 A company must take on seven new projects. Each project has a planning stage and a design stage, and the planning stage must be completed before the design stage can begin. Also, two project teams are available to work on these projects: Team 1 works only on planning stages of projects, and Team 2 works only on design stages of projects. The times to complete the project stage, in days, are shown in the following table. Table J.17 A company must take on seven new projects. Each project has a planning stage and a design stage, and the planning stage must be completed before the design stage can begin. Also, two project teams are available to work on these projects: Team 1 works only on planning stages of projects, and Team 2 works only on design stages of projects. The times to complete the project stage, in days, are shown in the following table.    -Using the information in Table J.17 and Johnson's rule, develop a schedule that minimizes makespan for these seven jobs. Assume that job C could be neatly split into two equal parts, each having half of the processing time on each machine as the full job C. Using your original sequence, but splitting job C, what is the makespan for the seven jobs? -Using the information in Table J.17 and Johnson's rule, develop a schedule that minimizes makespan for these seven jobs. Assume that job C could be neatly split into two equal parts, each having half of the processing time on each machine as the full job C. Using your original sequence, but splitting job C, what is the makespan for the seven jobs?

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A first-come, first-served schedule minimizes the average flow time for all jobs.

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Table J.11 Work center Q45 has four jobs that just arrived (the start of Day 1) to be processed, as shown in the following table. Assume the shop works eight hours per day. Table J.11 Work center Q45 has four jobs that just arrived (the start of Day 1) to be processed, as shown in the following table. Assume the shop works eight hours per day.    -Using the information in Table J.11 and the critical ratio rule, what should be the sequence of jobs processed at Q45? -Using the information in Table J.11 and the critical ratio rule, what should be the sequence of jobs processed at Q45?

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Table J.8 Auto Data produces custom engineering testing equipment. The following six jobs are currently in the design department. The time since each one arrived, the processing time, and the due date are shown below. All times are expressed in terms of days. Let now be the beginning of Day 1. Table J.8 Auto Data produces custom engineering testing equipment. The following six jobs are currently in the design department. The time since each one arrived, the processing time, and the due date are shown below. All times are expressed in terms of days. Let now be the beginning of Day 1.    -Using the information in Table J.8 and the SPT rule, what is the average days past due? -Using the information in Table J.8 and the SPT rule, what is the average days past due?

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When using the critical ratio (CR) priority sequencing rule:

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Consider this list of jobs that have just arrived and are ready for processing. They all require processing first on machine 1 and then on machine 2. Both machines are now idle. Develop a schedule that minimizes makespan and calculate this makespan time. Now assume that each job can be split into two jobs, each having half the duration on both machine 1 and machine 2. Using the original sequence that minimized average flow time, calculate the flow times for all split jobs What is the effect of this new schedule on the average flow time for these split jobs? Consider this list of jobs that have just arrived and are ready for processing. They all require processing first on machine 1 and then on machine 2. Both machines are now idle. Develop a schedule that minimizes makespan and calculate this makespan time. Now assume that each job can be split into two jobs, each having half the duration on both machine 1 and machine 2. Using the original sequence that minimized average flow time, calculate the flow times for all split jobs What is the effect of this new schedule on the average flow time for these split jobs?

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