## Inventory-production theory: a linear policy approach |

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### Contents

A linear Policy Approach | 1 |

The linearquadratic model | 7 |

The linear nonquadratic model | 36 |

Copyright | |

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### Common terms and phrases

approximation ar-x ARMA-process assumption balance equation beta-distribution Bk+1 calculated Chap Chapter conditional mean cost criterion cost deviations cost functions cost parameters costs are given defined demand sequence denotes derive deterministic distribution function dynamic certainty equivalents dynamic programming exponential smoothing follows Fs(x Gauss-Markov Gauss-Markov process Gaussian Hence inspection period inventory costs inventory problem investigate Kalman filter linear decision rule linear policy linear-quadratic models LNQ-approach matrix mixed strategy normally distributed Numerical Results obtains optimal costs optimal policy optimal safety stock Piecewise Linear Costs Prob probability distribution procedure production costs pure inventory quadratic functions random random variables random walk recursive reduces respect restricted rk+1 S,S)-policy Seiten sequence of demand set-up costs shown situation solved space representation stationary stochastic sequence stock on hand structure suboptimal Substituting Table Theory values variables variance white noise Wiener-Hopf equation xk+1 z-transform