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HW-02-10-10s-Ch3_4-1

# HW-02-10-10s-Ch3_4-1 - IE 131 Solutions for Problems due...

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IE 131 Solutions for Problems due Feb 10 (Chs 3 and 4) 3.31 Five workstations (1, 2, 3, 4, and 5) that produce about ten similar parts must be arranged into an in-line layout. The daily flow of parts between workstations is as follows: 40 parts from stations 5 to 2, 35 parts from stations 5 to 3, 20 parts from stations 3 to 1, 25 parts from stations 1 to 4, 60 parts from 3 to 2, 15 parts from stations 2 to 5, and 30 parts from stations 4 to 2. (a) Use the Hollier algorithm described to determine the most logical sequence of stations in the work system. (b) Draw the network diagram for the system. (c) Compute the percentage of in- sequence moves, by-passing moves, and backflow moves for the sequence. Solution : (a) Hollier Method From\To 1 2 3 4 5 “From” sums From/To ratio 1 25 25 1.25 2 15 15 0.115 3 20 60 80 2.29 4 30 30 1.2 5 40 35 75 5.0 “To” sums 20 130 35 25 15 225 Arranging operations in descending order of From/To ratio, we have the following sequence: 5 – 3 – 1 – 4 – 2 (b) Network diagram. 4 2 1 3 5 20 60 40 25 30 35 15 (c) % in-sequence moves = (35 + 20 + 25 + 30)/225= 0.489 = 48.9% % by-passing moves = (40 + 60)/225= 0.444 = 44.4% % backflow moves = 15/225 = 0.067 = 6.7% 4.4 A manual assembly line is being planned for an assembled product whose annual demand is expected to be 175,000 units/yr. The line will be operated two shifts (4000 hr/yr). Work content time of the product is 53.7 min. For planning purposes, the following line parameter values will be used: uptime efficiency = 96%, balancing efficiency = 94%, and repositioning time = 8 sec. Determine (a) the required hourly production rate of the line, (b) the cycle time, and (c) the ideal

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