The trim line at PW is a small subassembly line that, alongwith other such lines, feeds int1, o the final chassis line.The entire assembly line, which consists of more than 900workstations, is to make PW’s new E cars. The trim line itselfinvolves only 13 work elements and must handle 20 cars perhour. Work-element data are as follows:Work Element Time (Sec) Immediate Predecessor(s)A 2.4 NoneB 0.5 NoneC 2.1 NoneD 1.8 CE 1.1 BF 0.9 A G 2 AH 0.7 FI 0.7 DJ 1.8 H, EK 1.3 JL 1.9 GM 1.1 L, I, Ka. Draw a precedence diagram.b. What cycle time (in minutes) results in the desired outputrate?c. What is the theoretical minimum number of stations?d. Use the longest work element decision rule to balance theline and calculate the efficiency of your solution.e. Use the most followers work element decision rule tobalance the line and calculate the efficiency of yoursolution.

The trim line at PW is a small subassembly line that, alongwith other such lines, feeds int1, o the final chassis line.The entire assembly line, which consists of more than 900workstations, is to make PW’s new E cars. The trim line itselfinvolves only 13 work elements and must handle 20 cars perhour. Work-element data are as follows:Work Element Time (Sec) Immediate Predecessor(s)A 2.4 NoneB 0.5 NoneC 2.1 NoneD 1.8 CE 1.1 BF 0.9 A G 2 AH 0.7 FI 0.7 DJ 1.8 H, EK 1.3 JL 1.9 GM 1.1 L, I, Ka. Draw a precedence diagram.b. What cycle time (in minutes) results in the desired outputrate?c. What is the theoretical minimum number of stations?d. Use the longest work element decision rule to balance theline and calculate the efficiency of your solution.e. Use the most followers work element decision rule tobalance the line and calculate the efficiency of yoursolution.

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Description: The trim line at PW is a small subassembly line that, alongwith other such lines, feeds int1, o the final chassis line.The entire assembly line, which consists of more than 900workstations, is to make PW’s new E cars. The trim line itselfinvolves onl

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter4: Linear Programming Models

Section: Chapter Questions

Problem 111P

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The trim line at PW is a small subassembly line that, along with other such lines, feeds into the final chassis line. The entire assembly line, which consists of more than 900 workstations, is to make PW’s new E cars. The trim line itself involves only 13 work elements and must handle 20 cars per hour. Work-element data are as follows: Work Element Time (Sec) Immediate Predecessor(s) A B C DE F G H I J K L M 1.8 0.4 1.6 1.5 0.7 0.5 0.8 1.4 1.4 1.4 0.5 1.0 0.8 None None None A A E B C D F,G H J I,K,L a. Draw a precedence diagram.b. What cycle time (in minutes) results in the desired output rate?c. What is the theoretical minimum number of stations?d. Use the longest work element decision rule to balance the line and calculate the efficiency of your solution.e. Use the most followers work element decision rule to balance the line and calculate the efficiency of your solution.
The trim line at PW is a small subassembly line that, along with other such lines, feeds into the final chassis line. The entire assembly line, which consists of more than 900 workstations, is to make PW’s new E cars. The trim line itself involves only 13 work elements and must handle 20 cars per hour. Work-element data are as follows Work Element Time (Sec) Immediate Predecessor(s) A 2.4 None B 0.5 None C 2.1 None D 1.8 C E 1.1 B F 0.9 A G 2 A H 0.7 F I 0.7 D J…
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.
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Francis Johnson’s plant needs to design an efficient assembly line to make a new product. The assembly line needs to produce 15 units per hour, and there is room for only four workstations. The tasks and the order in which they must be performed are shown in the following table. Tasks cannot be split, and it would be too expensive to duplicate any task. TASK TASK TIME (MINUTES) IMMEDIATE PREDECESSOR A 1 — B 2 — C 3 — D 1 A, B, C E 3 C F 2 E G 3 E What is the workstation cycle time required to produce 15 units per hour? Note: Round your answer to 1 decimal place. Balance the line to use the fewest possible workstations to meet the cycle time found in part (b). Use whatever method you feel is appropriate. What is the efficiency of your line balance, assuming the line operates at the cycle time from part (b)? Note: Round your answer to 1 decimal place.
XYZ company provides labor and space for the manufacturing and assembly operations and stocking a variety of inventory items for production such as wire, cables, some electronic components, etc. XYZ company orders a variety of components and raw materials by contract. The company recently hired 100 part-time employees working four to six-hour shifts. Skilled employees must do several raw material conversions for packaging—there are currently three (3) such employees. The plant layout is a typical process layout - machines of similar types are located together. Each machine and employee must be scheduled over the day and the standard time period for planning is one (1) hour. Material handling is mainly done manually, although the company would like to consider conveyors or other automation to aid in automating their processes. XYZ company forecasts planned production for two (2) years on a rolling quarterly basis. Often, the customer changes the forecast, and these changes can occur…
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 —
Bill builds benches in a small shop and he plans to operate five 8-hour days perweek. Each bench has two ends and a top. It takes 5 minutes to cut and sand eachend and 2 minutes to make each top. Assembly requires 8 minutes per bench, andpainting requires 5 minutes per bench. Bill has one employee who makes the topsand ends. Bill will do the final assembly and painting. He also plans 1 hour per dayfor setup and teardown for each department.a. How many benches should he plan to build per week?b. How many hours per week are required for each person?c. Suggest ways to increase the number of benches produced per week
An assembly line with 17 tasks is to be balanced. The longest task is 2.4 minutes, and the totaltime for all tasks is 18 minutes. The line will operate for 450 minutes per day.a. What are the minimum and maximum cycle times?
The Assembly Department started the month with 37,000 units in its beginning work in process inventory. An additional units 482,000 were transferred in from the prior department during the month to begin processing in the Assembly Department. There were 34,000 units in the ending work in process inventory of the Assembly Department. How many units were transferred to the next processing department during the month? A. none of the options B. 485,000 C. 473,000 D. 479,000
2-The process of making hotdogs involves six activities: “grind”, “mix”, “stuff”, “cook”, “peel”, and “inspect”. If the capacity of activity “cook” determines the process capacity, which of the following statements are true? a- Activity “cook” is a bottleneck activity. b- The activity time of all the other five activities is shorter than activity "cook". c- Cycle time of the process of making hotdogs is equal=1/capacity of activity “cook”. d- Increasing the capacity of activity “grind” can increase the capacity of the process of making hotdogs. All statements are correct Only statement 'b' is correct Only statements 'a' and 'b' are correct Only statements 'a', 'b' and 'c' are correct Only statement 'a' is correct Only statement 'd' is correct