Reduction in production or distribution costs has always been one of the major goals of production in all manufacturing and distribution units. Lot sizing decisions give rise to the problem of identifying when and how much of a product to produce such that total costs are minimized. One of the most basic problems in the field of production planning is the single item capacitated lot sizing problem that appears as a sub-problem in the solution procedures of many complex lot-sizing problems. Therefore, this thesis deals with the single item capacitated lot sizing problem, an exact mathematical model is proposed to solve it in general,
