## ProceedingsIEEE Computer Society Press, 2003 - Artificial intelligence |

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Page 111

subject to : fxy = 0 , 1 Vi , j y ; = 0 , 1 Vj y ; = max { x } , Vj ( 10 " ) ( 16 ) Z pk , s 2 Zak

, Vp , kı = 1 . . . , n , and q e Pp • qui ( 13 ) For problem ( SP1 ' ) the following result

states : Lemma 1 : The following solution is

subject to : fxy = 0 , 1 Vi , j y ; = 0 , 1 Vj y ; = max { x } , Vj ( 10 " ) ( 16 ) Z pk , s 2 Zak

, Vp , kı = 1 . . . , n , and q e Pp • qui ( 13 ) For problem ( SP1 ' ) the following result

states : Lemma 1 : The following solution is

**optimal**for ( SP1 ' ) : 2 : 26p Sto ...Page 112

Fico set Xij ( i ) = 1 . ieo 5 . y ; = max { x } , Vj . Lemma 2 : Algorithm A yields the

the algorithm is feasible . Once the current block is declared closed , the rest of ...

Fico set Xij ( i ) = 1 . ieo 5 . y ; = max { x } , Vj . Lemma 2 : Algorithm A yields the

**optimal**solution for sub - problem ( SP1 ” ) . Proof . Note that the solution given bythe algorithm is feasible . Once the current block is declared closed , the rest of ...

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Searching for an

complex problem . In comparison with the classical assembly line balancing

problem , the considered problem has many additional properties and constraints

...

Searching for an

**optimal**set of blocks and its allocation to workstations is a verycomplex problem . In comparison with the classical assembly line balancing

problem , the considered problem has many additional properties and constraints

...

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### Contents

Microassembly Microfactory | 1 |

Microassembly and Microfactory | 2 |

Scheduling | 16 |

Copyright | |

7 other sections not shown

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### Common terms and phrases

actuator algorithm allows applied approach assembly planning assembly sequences assembly system assigned Automation blocks cell complete components computation configuration connected considered constraints corresponding cost cycle defined depends described determined developed device direction disassembly effect environment equation equipment evaluation example execution Figure final flexible force France function geometric given graph grasping gripper handling holons industrial initial integrated Introduction machining manipulation manufacturing material measured mechanical method micro motion move object obtained operation optimal orientation parameters path performance piezoelectric position possible precedence presented problem Proceedings programming proposed provides References relation representation represents respectively robot scheduling selected sensor shape shown shows simulation solution space step structure surface task Task Planning tion tolerance torque transition virtual volume workstation