You are the new production manager for a solar panel manufacturing plant. There are panel models in
Question:
You are the new production manager for a solar panel manufacturing plant. There are panel models in your plant and you want to plan production for the next few months. To build each panel model, one consists of raw materials. In addition, one unit of a panel model requires one unit of different types of raw materials. This information is detailed in the binary parameter unm, which is worth 1 if the raw material is used to manufacture the typony panel or otherwise. Each panel is manufactured in one of the production lines. The production capacity where each line is Clt [units / month] in the linear period. On the other hand, due to the limited capacity of your supplier, there is a maximum number of units of raw material that you can buy per period, which is given by the parameter Mmt. Consider that the raw materials purchased in period t are immediately available. Cost-wise, make a unit of the model on the line at Pnl. In addition, there are constant inventory costs throughout the evaluation horizon, where the parameter In indicates the cost of storing a unit of the panel with one period and the parameter H indicates the cost of storing a unit of raw material with one period. Also, initial inventories of panel types, sn, 0, and raw materials, rm, 0 are available. The demand for each panel is esdnt, which indicates the number of typical panels required in the period t. There may be unsatisfied demand at a cost Fn per Type panel not delivered.
(a) Formulate a Linear Programming model that helps plan production decisions and inventory of solar panels month by month, to satisfy the mentioned conditions and minimize costs.
(b) Suppose there is a fixed cost for ordering one type of raw material in each period. This implies that you must pay Smt if you order the raw material in the period, regardless of the quantity requested. Extend the model made in part a) to represent this situation.
(C) Suppose now that your supplier informs you that if you want to order raw material, then the quantity requested must be equal to at least one quantityQ defined a priori (minimum batch). Extend the model from part b) to represent this situation.