## Discrete manufacturing process design optimization: theory and application |

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### Contents

Report Documentation Page | 4 |

Multiple Sequence Optimization Using Generalized Hill Climbing Algorithms | 15 |

Simultaneous Generalized Hill Climbing Algorithms | 28 |

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### Common terms and phrases

accepting GHC algorithm algorithm is executing applied Austral Engineering binary activity vector binary switches climbing algorithm framework computational results controllable input parameters cost function values deﬁned deﬁnitions are needed design optimization problems design space discrete manufacturing process discrete optimization problems ﬁmdamentally related discrete ﬁnite fundamentally related discrete hill climbing algorithm hill climbing variable inner loop iterations input parameter values manufacturing process design Markov chain Markov property micro Monte Carlo search movement between discrete neighbor neighborhood function 11 optimal manufacturing process ordinal hill climbing ordinal optimization outer loop iteration p(Dy probability switch vector problem generation probability Process Design Optimization process design sequences pure local search Radius random variables related discrete optimization search algorithms set of discrete set of fundamentally seven processes SGHC simulated annealing Simultaneous Generalized Hill solution space space Q stochastic process subset sufﬁcient conditions transition matrix Traveling Salesman Problem valid manufacturing process Vaughan Weibull accepting GHC workpiece