## Lot size considerations for parallel and series machines |

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### Contents

LITERATURE REVIEW AND OVERVIEW | 4 |

RESTRICTION OF CYCLE TIMES | 13 |

FEASIBILITY CONSIDERATIONS | 41 |

Copyright | |

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### Common terms and phrases

0EE EE assign a job assumed assumption basic period length Branch and Bound Chapter compatible consider cycle times Sn demand rate denote E3OX Economic Lot Economic Order Quantity EOPIE equally spaced setups Equation 2.1 exists a feasible Exponential Distribution feasible schedule feasible solution find a feasible form w,kw Gantt Chart Given N jobs go to Step greatest common divisor greedy algorithm Haessler Harpal Singh Hence holding cost horizon IIXE interval inventory job to machine jobs scheduled Lemma load balancing load imbalance lot size problem lower bound machine assignment machine Q nodes number of cycle number of jobs number of machines optimal solution overlap graph parallel machines PL/I Proof proposition restricting cycle Section sequencing problem set of cycle setup costs setup of job single machine solve Suppose Theorem 3.1 week WTOE