A company has assembly line with 12 elemental tasks, with durations and precedorse as given below....

 

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A company has assembly line with 12 elemental tasks, with durations and precedorse as given below. eleme 1 34 nt durati 0.32 0.5 0.8 0.2 on preced ed 2 5 6 7 1,2 2 دیا 8 0.4 0.15 0.28 0.7 0.45 0.35 9 3 10 11 0.6 1 3.4 6,7,8 5,8 Production rate=40 pc/hr, repositioning time=0.05 min/cycle, uptime efficiency=90%. Determine: the total work content time, cycle time, theoretical minimum number of work stations, station time, draw the precedence diagram and find the line efficiency, balance delay, and smoothness index using Ranked Position Weight method. 12 0.25 9,10 11 A company has assembly line with 12 elemental tasks, with durations and precedorse as given below. eleme 1 34 nt durati 0.32 0.5 0.8 0.2 on preced ed 2 5 6 7 1,2 2 دیا 8 0.4 0.15 0.28 0.7 0.45 0.35 9 3 10 11 0.6 1 3.4 6,7,8 5,8 Production rate=40 pc/hr, repositioning time=0.05 min/cycle, uptime efficiency=90%. Determine: the total work content time, cycle time, theoretical minimum number of work stations, station time, draw the precedence diagram and find the line efficiency, balance delay, and smoothness index using Ranked Position Weight method. 12 0.25 9,10 11

Answer rating: 100% (QA)

To solve this problem lets break it down step by step Total Work Content Time TWCT Sum of the durations of all elemental tasks Cycle Time CT Calculated based on TWCT and production rate taking into account uptime efficiency and repositioning time Theoretical Minimum Number of Work Stations TMNWS Calculated based on CT and TWCT Station Time ST Calculated as CT Precedence Diagram Drawn based on the given data Line Efficiency LE Calculated based on uptime efficiency and TMNWS Balance Delay BD Calculated using Ranked Position Weight method Smoothness Index SI Also calculated using Ranked Position Weight method Lets start by calculating each of these Total Work Content Time TWCT TWCT Sum of all task durations TWCT 025 06 34 07 3 015 02 12 032 992 minutes Cycle Time CT CT TWCT Production rate CT 992 4060 1488 minutes Taking into account uptime efficiency and repositioning timeEffective Cycle Time CT Uptime Efficiency 1 Repositioning Time Cycle Time Effective Cycle Time 1488 090 1 005 1488 1266 minutes Theoretical Minimum Number of Work Stations TMNWS TMNWS TWCT Effective Cycle Time TMNWS 992 1266 0784 Since the number of stations must be a whole number we round up to 1 Station Time ST ST Effective Cycle Time ST 1266 minutes Now lets draw the precedence diagram markdown Copy code 1 2 3 4 5 6 7 8 9 10 11 12 Line Efficiency LE LE TMNWS Total number of stations 100 1 12 100 833 Balance Delay BD Well calculate this using the Ranked Position Weight method Smoothness Index SI Also calculated using the Ranked Position Weight method Now lets proceed to calculate BD and SI To calculate the Balance Delay BD and Smoothness Index SI using the Ranked Position Weight method we need to assign weights to each task based on their position in the sequence and calculate the weighted sum for each station Lets assign weights and calculate BD and SI Assign weights Tasks at the start of the sequence have higher weights Well use a linear weighting scheme where the weight decreases linearly as we move along the sequence Task 1 Weight 12Task 2 Weight 11Task 3 Weight 10Task 4 Weight 9Task 5 Weight 8Task 6 Weight 7Task 7 Weight 6Task 8 Weight 5Task 9 Weight 4Task 10 Weight 3Task 11 Weight 2Task 12 Weight 1 Calculate ... View the full answer