# Problem 4: Output/Cycle time

See attached file to answer the questions below:

Balance the assembly line for the tasks contained in the table. The desired output is 240 units per day. Available production time per day is 480 minutes.

a) What is the desired Cycle time in seconds? (4 points)

b) What is the theoretical minimum number of stations? (4 points)

c) Use trial and error to work out a solution in the table below. Your efficiency should be at least 90%. (10 Points)

d) Calculate the efficiency of your solution. (2 points)

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xx Balance xxx assembly xxxx xxx the xxxxx contained xx the xxxxxx The desired xxxxxx xx 240 units xxx day. Available xxxxxxxxxx time per day xx xxx minutes.

xxxxxxxxxxxxxxx xxxxxxx | xxxx xxxxxx | xxxxxxxxx Predecessor(s) |

x | xx | xxx |

B | xx | xxx |

x | xx | A |

x | xx | B |

E | 65 | B |

F | 40 | xxx |

x | xx | xxx |

What xx the xxxxxxx xxxxx time in seconds? (4 xxxxxxx

Answer:-

Production time xxx day x xxx xxxxxxx x 8 hours

xxxxxxx xxxxxx xxxxxxx xx xxx units xxx day x xxxxx x xx xxxxx xxx hour

Hence, xxxxxxx cycle xxxx xx xxxxxxx xx xxxxx by

c x 3600/30 = **xxx **seconds xxx xxxxx

What is xxx xxxxxxxxxxx xxxxxxx xxxxxx of stations? (4 xxxxxxx

xxxxxxxx

Theoretical minimum, xx x (sum of all xxxxx xx

= xxxxxxxxxxxxxxxxxxxxxxxxxx

xxxx = 325/120 = xxxx

**xxxxxx xxxxxxxxxxx minimum no. xx stations xx xx**

Use trial xxx error xx xxxx out x solution xx the table xxxxxx Your xxxxxxxxxx xxxxxx xx at xxxxx 90%. xxx xxxxxxx

xxxxxxxx

xxx 1st xxxxxxx xxxxx with A

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xxxxxx xxx the attachment xxx xxxxxxxxx If you xxxx xxx clarification please xxx xxx Thanks.

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4. xxxxxxx xxx xxxxxxxx xxxx xxx xxx xxxxx contained xx the xxxxxx The desired xxxxxx xx 240 xxxxx xxx day. Available production time per xxx is xxx minutes.

xxxxxxxxxxxxxx xxxxxxx | Time (Sec.) | Immediate xxxxxxxxxxxxxx |

x | xx | xxx |

x | xx | --- |

C | xx | x |

x | xx | B |

x | xx | B |

F | xx | xxx |

x | 25 | D,E |

a) xxxx is xxx desired Cycle xxxx in xxxxxxxx (4 xxxxxxx

xxxxxx xxxx is xxxxx xxx

xxx xx =1/r x xxxx minutes/240 xxxxxxxxx xxxxxxxxxxxxxxxx

xxxx = **120** seconds/unit

b) xxxx xx xxx theoretical minimum xxxxxx of stations? (4 xxxxxxx

The xxxxxxxxxxx xxxxxxx xxxxxx xx xxxxxxxx xx given by,

TM = (Σt)/c = (40 x 45 + 55 x xx x 65 x 40 x 25)/120

xxxx x 325/120

= xxxxxx or **3** xxxxxxxxx

c) xxx xxxxx xxx error xx xxxx out a xxxxxxxx in xxx table below. Your xxxxxxxxxx should xx at xxxxx 90%. xxx Points)

The xxxxxxxxxx xxxxxxx xx xxxxx xx xxx following figure.

xxx

xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx | xxxxxxxxxx | Choice | Work-Element Time (Sec) | xxxxxxxxxx xxxx xxxxx | Idle xxxx xx x xxxx |

S1 | x | x | 40 | xx | xx |

B,C | x | xx | 95 | xx | |

S2 | B | x | xx | 45 | 75 |

xxx | x | 65 | 110 | xx | |

S3 | D,F,G | x | xx | xx | 65 |

F,G | F | xx | 95 | 25 | |

x | G | xx | 120 | x |

S1 x xxxxxx xx x xxx xxx and S3 x xxx xx G}

xx Calculate xxx efficiency of xxxx xxxxxxxxx xx xxxxxxxx

The xxxxxxxxxx of xxx xxxxxxxx xx xxxxx by,

Efficiency x [(Σt)/(nc)](100)

x xxxxxxxxxxxxxxxxxxx

xxx = xxxxxxxxxxxxxxx

x (0.9028)(100)

x **90.28** %

xxxxxxxx xxxxx x xxxx - Efficiency x

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