8-MPS_math_modelling

# 8-MPS_math_modelling - 1 Master Production...

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Master Production Schedule (MPS) ( Disaggregation through Mathematical Modelling) (Source: Vollmann et.al. Chapter 12) IE324 - MPS-Math. Modelling April 13, 2010 1

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An illustration of the formulation of MPS A disaggregation model (by Chung and Krajewski) illustrates how the Aggregate Plan for each family, determined by their MIP, can be disaggregated into a detailed MPS, specifying: lot sizes and timing for individual end products. Since family production and inventory levels have been established by the AP, the MPS must adhere to targets set by the AP. To do this, the formulation includes resource requirements and limitations from the AP as constraints. IE324 - MPS-Math. Modelling April 13, 2010 2
An illustration of the formulation of MPS The model uses information from the AP for each family i, including: Setup time, β i Setup status, σ (X it ) Production level, X it Inventory level, I it Overtime used, O t Workforce level, W t Regular time availability, A 1t IE324 - MPS-Math. Modelling April 13, 2010 3

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An illustration of the formulation of MPS Decision variables: X k it’ : production hours of end item k of product family i in week t’. I k it’ : hours of end item k of product family i at the end of week t’. B
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8-MPS_math_modelling - 1 Master Production...

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