ACC 300 Assignment 16
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This document contains information about three problems related to scheduling production jobs. Problem 16-8 lists five jobs with processing times and due dates that need to be scheduled at a machine shop. Problem 16-17 provides time and due date information for six jobs to be scheduled. Problem 16-18 gives details on five orders waiting for heat treatment at a gear company, including order size, processing time per unit, and due date.
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3 facility layout
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Answer 1:
2. A professor records the number of students who complain each week throughout the semester. If the class size is forty students, what are 3-sigma control limits for this class? Construct a control p-chart and interpret the data. Is the process in control? (20 points)
Week number
Complaints
1
5
2
2
3
7
4
1
5
3
6
2
7
8
8
1
9
3
10
5
11
4
12
6
13
3
14
1
15
4
Answer 2:
3. A department store chain is designing a layout for a new store. The store manager wants to provide as much convenience as possible for her customers. Based on historical data, the number of trips between departments per hour is given in the following closeness matrix. A block plan showing a preliminary layout is also shown.
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1/O 2/S 3/H 4/T 5/A 6/E
1. Office Supplies (O) --- 40 100 50 20 10
2. Sporting Goods (S) --- 100 80 60 80
3. Hardware (H) --- 70 100 50
4. Toys (T) --- 70 90
5. Automotive (A) --- 60
6. Electronics (E) ---
1. OFFICE SUPPLIES
2. SPORTING GOODS
3. HARDWARE
4. TOYS
5. AUTOMOTIVE
6. ELECTRONICS
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Dept. Pair
Closeness Factor (w)
Original Distance (dO)
w dO
Revision #1 Distance (d1)
w d1
1 – 2
1 – 3
1 – 4
1 – 5
1 – 6
2 – 3
2 – 4
2 – 5
2 – 6
3 – 4
3 – 5
3 – 6
4 – 5
4 – 6
5 – 6
TOTAL
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SchedulingPart 1. Question 1. How many of the statements are tru.docx
Scheduling
Part 1. Question 1. How many of the statements are true?
(A) 0 (B) 1 (C) 2 (D) 3 (E) 4
Statement 1. The Johnson’s rule is a sequencing rule for an ‘nx1’ system.
Statement 2. The total flow time is minimized in an ‘nx2’ system when the schedule is based on the MPT rule.
Statement 3. The flow time for a job is equal to the processing time minus the queue time.
Statement 4. The start date for a job is equal to the due date minus the processing time.
Part 2. Questions 2-3
Five jobs arrived to be processed.
Present Date=
180
Work Order
A
B
C
D
E
Processing Time (Days)
20
8
25
4
15
Due Date
211
200
224
210
205
Question 2. The FIFO schedule is “ABCDE” and the LIFO schedule is “EDCBA”.
Consider the schedules based on the sequencing rules: Minimum Processing Time (MPT); Earliest Due Date (EDD); Minimum Slack Time (MST); and Minimum Critical Ratio (MCR). How many of the schedules are correct?
(A) 0 (B) 1 (C) 2 (D) 3 (E) 4
The schedule based on the MPT sequencing rule is E,A,B,C,D
The schedule based on the EDD sequencing rule is B,E,D,A,C
The schedule based on the MST sequencing rule is D,B,E,A,C
The schedule based on the MCR sequencing rule is A,E,C,B,D
Question 3. What is the flow of the MPT schedule?
(A) 162 (B) 230 (C) 72 (D) 233 (E) none of the above
Part 3. Questions 4-5
The jobs A,B,C,D,E, arrived in that order to be processed on two machines.
Job
A
B
C
D
E
Time on Machine 1
35
41
49
28
53
Time on Machine 2
32
56
36
48
55
Question 4. Which is the Johnson’s Rule schedule?
(A) ‘CEBAD’ (B) ‘DBECA’ (C) ‘DCABE’ (D) ‘DABEC’
Question 5. How many of the statements are correct?
(A) 0 (B) 1 (C) 2 (D) 3 (E) 4
Statement 1. In the FIFO schedule, the total time of completion is 271.
Statement 2. In the FIFO schedule, the flow time of job D is 216.
Statement 3. In the FIFO schedule, the total queue time of job C is 76.
Statement 4. In the FIFO schedule, the total idle time of machine 2 is 35.
Part 4. Questions 6-7
An organization that continuously processes proposals is addressing a large backlog due to an historical FIFO sequencing rule. You have been asked to determine a schedule that minimizes the processing time of project proposals through the editing department and revision department. The editing department identifies changes and the revision department incorporates the changes and produces a final proposal document for release. A proposal must pass through each department. Each department has personnel to service only one document at a time. The editing time is dependent on the type of proposal and the revision time is dependent on the size of the proposal. The time estimates below have been provided to you for scheduling.
Question 6. What is the minimum processing time in minutes?
(A) 525 (B) 1025 (C) 522 (D) 502 (E) none of the above
Question 7. What is the minimum average jobs per minute that can be achieved.
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This document discusses various scheduling approaches and techniques for sequencing jobs in manufacturing. It covers broad scheduling approaches including human experts, expert systems, and mathematical systems. It also discusses different scheduling decisions around sequencing, releasing, and routing jobs. It then describes specific scheduling techniques like first come first served, earliest due date, shortest processing time, critical ratio, and techniques to minimize machine idle time and flow time. Examples are provided to illustrate how to apply these different scheduling approaches and sequencing techniques to optimize job scheduling.
3 facility layout
1) The document discusses different facility layout types including process layouts with departments arranged based on workflow and product layouts arranged by product.
2) It also covers solutions to facility layout problems including Craft's method of considering pairs of department exchanges to improve layout cost.
3) Volvo uses layouts like rotating round tables and horseshoe conveyor sections to facilitate teamwork and worker communication on assembly lines.
1. What is operations management Why is it important Is a good k.docx
1. What is operations management? Why is it important? Is a good knowledge of operations management more important in service or manufacturing industries? Explain your answer.
2. Discuss the use of PERT/CPM techniques for managing projects. Describe what PERT/CPM does. Discuss advantages and disadvantages of using it. What other techniques might you choose to manage your project?
3. What are economies of scale in a manufacturing plant? Do they continue forever? What are diseconomies of scale? How might you decide the optimal size of a plant?
4. What, in your opinion are the 3 most important issues in supply chain management. Discuss why you think these are the key issues.
5. Discuss why (or if) inventories are necessary. What are the benefits of inventories? What are the disadvantages of holding inventories?
Problem Questions
1. Thermostats are subjected to rigorous testing before they are shipped to air conditioning technicians around the world. Results from the last five samples are shown in the table. Draw and R Chart and an x-bar chart. Based on the charts, is the process under control? (20 Points)
Observations
Sample12345
1
73.5
70.8
72.2
73.6
71.0
2
71.3
71.0
73.1
72.7
72.2
3
70.0
72.6
71.9
72.4
73.3
4
71.1
70.6
70.3
74.2
73.6
5
70.8
70.7
70.7
73.5
71.1
Answer 1:
2. A professor records the number of students who complain each week throughout the semester. If the class size is forty students, what are 3-sigma control limits for this class? Construct a control p-chart and interpret the data. Is the process in control? (20 points)
Week number
Complaints
1
5
2
2
3
7
4
1
5
3
6
2
7
8
8
1
9
3
10
5
11
4
12
6
13
3
14
1
15
4
Answer 2:
3. A department store chain is designing a layout for a new store. The store manager wants to provide as much convenience as possible for her customers. Based on historical data, the number of trips between departments per hour is given in the following closeness matrix. A block plan showing a preliminary layout is also shown.
Closeness Factors (Trips per hour)
1/O 2/S 3/H 4/T 5/A 6/E
1. Office Supplies (O) --- 40 100 50 20 10
2. Sporting Goods (S) --- 100 80 60 80
3. Hardware (H) --- 70 100 50
4. Toys (T) --- 70 90
5. Automotive (A) --- 60
6. Electronics (E) ---
1. OFFICE SUPPLIES
2. SPORTING GOODS
3. HARDWARE
4. TOYS
5. AUTOMOTIVE
6. ELECTRONICS
Customer travel between departments is restricted to the aisles shown in the block plan as dotted lines.
CALCULATIONS TABLE:
Dept. Pair
Closeness Factor (w)
Original Distance (dO)
w dO
Revision #1 Distance (d1)
w d1
1 – 2
1 – 3
1 – 4
1 – 5
1 – 6
2 – 3
2 – 4
2 – 5
2 – 6
3 – 4
3 – 5
3 – 6
4 – 5
4 – 6
5 – 6
TOTAL
Complete the calculations and fill in the table above. Based on the table above answer the following questions.
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Johnson's Rule is a technique for minimizing completion time when processing jobs through two machines. It involves listing job processing times and scheduling the job with the shortest second machine time last, and the job with the shortest first machine time first, working toward the middle. An example applies the rule to five jobs being processed on a drill machine and lathe, determining the optimal sequence as B, E, D, C, A.
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Watch the video lecture on this PowerPoint topic by going to the below link:
https://youtu.be/HTEdlvag2SQ
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First Come First Served
Earliest Due Date
Shortest Processing Time
Longest Processing Time
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flow shop sequencing, job shop sequencing,
Types of sequencing problems
Case 1: Processing of ‘n’ jobs through one machine
Case 2: Processing of n jobs and two machines A and B, all jobs processed in the order AB.
Case 3: Processing of n jobs and three machines A, B and C all jobs processed in the order ABC
Case 4: Processing of n jobs and m machines.
Case 5: Processing of 2 jobs m machine
Exam110121
This document contains instructions for a 3 question exam on scheduling problems. It will be 50 minutes long and worth a total of 50 points. Each question has multiple parts asking students to formulate scheduling rules, compute optimal schedules, and prove properties about scheduling problems. Question 1 deals with single machine scheduling to minimize maximum lateness. Question 2 covers flowshop scheduling to minimize makespan. Question 3 addresses parallel machine scheduling problems, including minimizing makespan, average completion time, and weighted completion time.
Job sequencing with Deadlines
The document describes the job sequencing problem with deadlines and presents a greedy algorithm to solve it. The problem involves scheduling a set of jobs on a single processor to maximize total profit where each job has a deadline and profit. The greedy algorithm sorts jobs by decreasing profit and schedules each job as late as possible while meeting its deadline. This approach always finds the optimal solution that maximizes total profit. Pseudocode and a C++ program implementing the algorithm are also provided.
Operations Research -Sequencing Problems
The document discusses sequencing problems and provides an example problem. A sequencing problem aims to determine the optimal order of jobs to minimize costs. The example problem involves 6 jobs that must pass through 2 machines (A then B) with processing times provided. The optimal sequence was determined to be jobs 2, 3, 4, 5, 6, 1 with a total elapsed time of 85 hours and idle times of 8 hours for machine A and 17 hours for machine B.
Facility Layout in production management
The document discusses various facility layout strategies and concepts. It defines facility layout as determining the placement of departments, workgroups, machines, and stock areas. Key layout formats discussed include process layout, product layout, group technology layout, and fixed-position layout. Assembly line balancing concepts are also covered, including precedence diagrams and determining cycle times and workstation loads.
SchedulingPart 1. Question 1. How many of the statements are tru.docx
Scheduling
Part 1. Question 1. How many of the statements are true?
(A) 0 (B) 1 (C) 2 (D) 3 (E) 4
Statement 1. The Johnson’s rule is a sequencing rule for an ‘nx1’ system.
Statement 2. The total flow time is minimized in an ‘nx2’ system when the schedule is based on the MPT rule.
Statement 3. The flow time for a job is equal to the processing time minus the queue time.
Statement 4. The start date for a job is equal to the due date minus the processing time.
Part 2. Questions 2-3
Five jobs arrived to be processed.
Present Date=
180
Work Order
A
B
C
D
E
Processing Time (Days)
20
8
25
4
15
Due Date
211
200
224
210
205
Question 2. The FIFO schedule is “ABCDE” and the LIFO schedule is “EDCBA”.
Consider the schedules based on the sequencing rules: Minimum Processing Time (MPT); Earliest Due Date (EDD); Minimum Slack Time (MST); and Minimum Critical Ratio (MCR). How many of the schedules are correct?
(A) 0 (B) 1 (C) 2 (D) 3 (E) 4
The schedule based on the MPT sequencing rule is E,A,B,C,D
The schedule based on the EDD sequencing rule is B,E,D,A,C
The schedule based on the MST sequencing rule is D,B,E,A,C
The schedule based on the MCR sequencing rule is A,E,C,B,D
Question 3. What is the flow of the MPT schedule?
(A) 162 (B) 230 (C) 72 (D) 233 (E) none of the above
Part 3. Questions 4-5
The jobs A,B,C,D,E, arrived in that order to be processed on two machines.
Job
A
B
C
D
E
Time on Machine 1
35
41
49
28
53
Time on Machine 2
32
56
36
48
55
Question 4. Which is the Johnson’s Rule schedule?
(A) ‘CEBAD’ (B) ‘DBECA’ (C) ‘DCABE’ (D) ‘DABEC’
Question 5. How many of the statements are correct?
(A) 0 (B) 1 (C) 2 (D) 3 (E) 4
Statement 1. In the FIFO schedule, the total time of completion is 271.
Statement 2. In the FIFO schedule, the flow time of job D is 216.
Statement 3. In the FIFO schedule, the total queue time of job C is 76.
Statement 4. In the FIFO schedule, the total idle time of machine 2 is 35.
Part 4. Questions 6-7
An organization that continuously processes proposals is addressing a large backlog due to an historical FIFO sequencing rule. You have been asked to determine a schedule that minimizes the processing time of project proposals through the editing department and revision department. The editing department identifies changes and the revision department incorporates the changes and produces a final proposal document for release. A proposal must pass through each department. Each department has personnel to service only one document at a time. The editing time is dependent on the type of proposal and the revision time is dependent on the size of the proposal. The time estimates below have been provided to you for scheduling.
Question 6. What is the minimum processing time in minutes?
(A) 525 (B) 1025 (C) 522 (D) 502 (E) none of the above
Question 7. What is the minimum average jobs per minute that can be achieved.
Ddb29 ccceba547209ddab45a17330016
This document contains information about an operations research exam including:
1) Two questions about formulating mathematical models for optimization problems involving animal feed mixtures and solving a linear programming problem.
2) Two questions about assigning jobs to mechanics to maximize return and solving a transportation problem to minimize costs.
3) Two questions involving determining optimal job sequences to minimize time and performing a critical path analysis on a project with activity times.
4) Two questions about determining optimum order levels and production quantities to minimize inventory and shortage costs.
5) A question about determining performance measures for a tax consulting firm with Poisson arrivals and exponential service times.
6) Two questions involving solving a two-player zero-sum game using dominance rules
Line balancing
This document provides an overview of line balancing. It defines line balancing as assigning tasks to workstations to equalize workloads and cycle times. The objectives of line balancing include equalizing workloads, identifying bottlenecks, establishing production speeds, determining staffing needs, and reducing costs. Common methods are described along with concepts such as precedence diagrams, work content, and cycle times. A simple example is provided to demonstrate how to balance a line to increase efficiency from 79% to 84% by redistributing tasks among five workstations. The document emphasizes eliminating waste to further improve efficiency.
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- 1. Buy here: http://homework.plus/acc-300-assignment-16/ 1. Problem 16-8 The following table shows orders to be processed at a machine shop as of 8:00 a.m. Monday. The jobs have different operations they must go through. Processing times are in days. Jobs are listed in order of arrival. Job Processin g Time (Days) Due Date (Days) Remaining Number of Operations A 8 20 2 B 10 18 4 C 5 25 5
- 2. D 11 17 3 E 9 35 4 Determine the processing sequence at the first work center using each of these rules: (1) First come, first served, (2) Slack per operation 2. Problem 16-17 Given the following information on job times and due dates. Job Time Due Date Job (Hours) (Hours)
- 3. a 3.5 7 b 2.0 6 c 4.5 18 d 5.0 22 e 2.5 4 f 6.0 20 a-1. Determine the optimal processing sequence using (1) First come, first served, (2) Shortest processing time, (3) Earliest due date, and (4) Critical ratio 3. Problem 16-18
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- 5. D 8 10 190 E 4 1 220 If the due date rule is used, what sequence should be used?