Find the value of X in the following Flow Shop data consisting of 5 jobs which are to be processed on two machines M1 & M2 in that order. Jobs M1 M2 A 5 7 B 2 5 C 1 3 D 4 6 E 13 3 For the sequence using Johnson’s Rule, the Make span = X
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Find the value of X in the following Flow Shop data consisting of 5 jobs which are to be processed on two machines M1 & M2 in that order.
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Jobs |
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M1 |
M2 |
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A |
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5 |
7 |
|
B |
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2 |
5 |
|
C |
|
1 |
3 |
|
D |
|
4 |
6 |
|
E |
|
13 |
3 |
For the sequence using Johnson’s Rule, the Make span = X
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- Find the value of X in the following Flow Shop data consisting of 5 jobs which are to be processed on two machines M1 & M2 in that order. Jobs M1 M2 A 3 8 B 12 9 C 11 1 D 6 4 E 10 12 For the sequence using Johnson’s Rule, the Average Flow Time = XAs the Cottrell Bicycle Co. of St. Louis completes plans for its new assembly line, it identifies 25 different tasksin the production process. VP of Operations Jonathan Cottrell now faces the job of balancing the line. He lists precedencesand provides time estimates for each step based on work-sampling techniques. His goal is to produce 1,000 bicycles perstandard 40-hour workweek.Balance this operation using the shortest operation time rule and compute the efficiency of the line.An assembly line has 10 serial stations with process times of 1, 2, 3, 4,..., 10 respectively. The process time of the system is: a) 550% of its process cycle time. b) 18.18% of its process cycle time. c) 50% of its process cycle time. d) 100% of its process cycle time.
- Three departments- milling (M), drilling (D), andsawing (S)- are assigned to three work areas in Victor Berardis'smachine shop in Kent, Ohio. The number of workpieces movedper day and the distances between the centers of the work areas,in feet, follow. Pieces Moved between Work Areas Each Day lt costs $2 to move I workpiece I foot.What is the cost?The following table contains order-dependent setup times for four jobs. For safety reasons, jobC cannot follow job A, nor can job A follow job C. Determine the processing sequence that willminimize the total setup time. (Hint: There are 12 alternatives.)Following Job’sSetup Time (hrs.)SetupTime (hrs.) A B C DPrecedingjobA 2 — 5 × 4B 1 7 — 3 2C 3 x 2 — 2D 2 4 3 6 —Given the following information on job times and due dates, determine the optimal processingsequence using (1) FCFS, (2) SPT, (3) EDD, and (4) CR. For each method, find the average jobflow time and the average job tardiness. Jobs are listed in order of arrival.JobJob Time(hours)Due Date(hours)a 3.5 7b 2.0 6c 4.5 18d 5.0 22e 2.5 4f 6.0 20
- Use Johnson's rule to obtain the optimum sequence of jobprocessing for the following jobs through a two-machine flow shop. Each jobmust follow the sequence of job processing Machine - 1 first, followed byMachine - 2 . All job times listed are in hours. (In Excel with formulas)Job Machine-1 Machine-2A 2.8 4.5B 4 1.7C 2.5 3.3D 5.5 3.7E 4 1.50For each of the problems listed, indicate precisely what or who would correspondto jobs and who or what would correspond to machines. In each case discuss whatobjectives might be appropriate and special priorities that might exist.b. Unloading cargo from ships at portA local toy manufacturer is using a production line that runs hours per day and produces a toy that requires a total of 7 tasks to be performed. The daily demand is 100 toys. Times of the tasks are 2.73, 201 01, 2.13, 2.0, 2.61 2.71. and 2.95 minutes for A, BC, D , and G, respectively. However, due to the nature of the product there are precedence rules that must be observed. Such that Task A does not need any predecessors; task B requires task A to be completed. To start task and task each require task B to be completed. Task must be completed prior to stating task E. Task F needs both task Dand task E to be completed. Finally, task G can start only once task Fis completed . What should be the calculated cycle time in minutes?
- Consider a process consisting of five resources that are operated 8 hours per day. Theprocess works on three different products, A, B, and C: Demand for the three different products is as follows: product A, 40 units per day;product B, 50 units per day; and product C, 60 units per day.a. What is the bottleneck?b. What is the flow rate for each flow unit, assuming that demand must be served in the mixdescribed above (i.e., for every four units of A, there are five units of B and six units of C)?Define the following terms:a. Flow shop.b. Job shop.c. Sequential versus parallel processing.d. Makespan.e. Tardiness.Positively Rivet Inc. is a small machine shop that produces sheet metal products. It had one line dedicated to the manufacture of light-duty vent hood shells, but because of strong demand it recently added a second line. The new line makes use of higher-capacity automated equipment but consists of the same basic four processes as the old line. In addition, the new line makes use of one machine per workstation, while the old line has parallel machines at the workstations. The processes, along with their machine rates, number of machines per station, and average times for a lone job to go through a station (i.e., not including queue time), are given for each line in the following table: Process Old Line New Line Rate per Machine (parts/hour) # Machines per Station Time (minute) Rate per Machine (parts/hour) # Machines per Station Time (minute) Punching 15 4 4.0 120 1 0.50 Braking 12 4 5.0 120 1 0.50 Assembly 20 2 3.0 125…