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## Lot splitting to minimize average flow-time in a two-machine flow-shop (1999)

Citations: | 3 - 1 self |

### Citations

756 | Scheduling: Theory, Algorithms, and Systems - Pinedo - 2001 |

498 | Introduction of sequencing and scheduling,” - Baker - 1974 |

483 |
AMPL: A Modeling Language for
- Fourer, Gay, et al.
- 2003
(Show Context)
Citation Context ...r the solution cannot be obtained without the knowledge of which of the indices 2; . . . ; n satisfy Equation (20) as equality, and which as a strong inequality. Therefore, we used the AMPL software (=-=Fourer et al., 1993-=-) with the MINOS solver to solve the (SMB1(n)) problem. The next question is how to determine the optimal value of n. Here we use the following conjecture: Conjecture 1. The values of the optimal solu... |

310 | Theory of scheduling. - Conway, Maxwell, et al. - 1967 |

61 | Scheduling with batching: A review, - Potts, Kovalyov - 1997 |

21 |
Batching in single operation manufacturing systems,
- Santos, Magazine
- 1985
(Show Context)
Citation Context ... as the lot streaming problem (see Trietsch and Baker (1993), Baker and Jia (1993) and many others). Other terminology that is used especially in the one-machine case is batching (Dobson et al. 1987; =-=Santos and Magazine, 1985-=-; Naddef and Santos, 1988). The problem is typically how to split a single lot into sublots given various other considerations such as the existence of a setup at the beginning of each sublot, or poss... |

20 | Basic techniques for lot streaming. - Trietsch, Baker - 1993 |

13 |
Optimal and Heuristic Models for Lot Splitting in a Flow Shop, Decision Sciences,
- Kropp, Smunt
- 1990
(Show Context)
Citation Context ...y spend most of the time waiting to be processed or waiting for the rest of its lot to be processed. Lot splitting is a technique for accelerating the flow of work by splitting job lots into sublots (=-=Kropp and Smunt, 1990-=-). This technique improves the overall performance of the production system by releasing all items included in a sublot upon its completion. When only one-machine is involved, the flow-times of these ... |

12 |
Batching to minimize flow times on one machine.
- Dobson, Karmarkar, et al.
- 1987
(Show Context)
Citation Context ...is often referred to as the lot streaming problem (see Trietsch and Baker (1993), Baker and Jia (1993) and many others). Other terminology that is used especially in the one-machine case is batching (=-=Dobson et al. 1987-=-; Santos and Magazine, 1985; Naddef and Santos, 1988). The problem is typically how to split a single lot into sublots given various other considerations such as the existence of a setup at the beginn... |

7 | A comparative study of lot streaming procedures. - Baker, Jia - 1993 |

7 | Lot streaming with attached setups in three-machine flow shops. - Chen, Steiner - 1998 |

7 |
One-pass batching algorithm for the one-machine problem.
- Nadef, Santos
- 1988
(Show Context)
Citation Context ...em (see Trietsch and Baker (1993), Baker and Jia (1993) and many others). Other terminology that is used especially in the one-machine case is batching (Dobson et al. 1987; Santos and Magazine, 1985; =-=Naddef and Santos, 1988-=-). The problem is typically how to split a single lot into sublots given various other considerations such as the existence of a setup at the beginning of each sublot, or possible restrictions on the ... |

6 | Parallel-machine batching and scheduling to minimize total completion time. - Cheng, Chen, et al. - 1996 |

6 | Makespan minimization in the two-machine flowshop batch scheduling problem - CHENG, LIN, et al. - 2001 |

6 | A Polynomial Algorithm for a One Machine Batching Problem - Shallcross - 1990 |

5 | Lot Streaming with Detached Setups in Three-Machine Flow Shops - Chen, Steiner - 1994 |

5 | Batching to minimize flow times on parallel heterogeneous machines. - Dobson, Karmarkar, et al. - 1989 |

5 | Optimal streaming of a single job in a two-stage flow shop. - Sen, Topaloglu, et al. - 1998 |

4 | Optimal solutions for the single batch flow-shop lot streaming problem with equal sublots. - Kalir, Sarin - 2001 |

2 | Scheduling production activities in multi-stage manufacturing systems. - Truscott - 1985 |