An integer programming model with special forms for the optimum provision of needed manufactures with an application example

摘要: Many practical problems are concerned with the provision of manufactured components; can be done using three different methods, production in normal and over times, importing/storing, subcontracting. The decision maker evaluate market demand, total cost elements. problem is to determine how many components should provided methods order accomplish required demand minimize cost. A mathematical model for such a formulated. variables represent number methods. objective function fixed variable costs. A special (If-Then) form generated due costs associated some Another combined (If-Then/Or) subcontracting method. third stepped unit prices contains constraints: maximum capacity constraints, overtime conditions, construction more prevision lines, stepping conditions. The steps used algorithm summarized, real example application presented, has 9 integer 11 additional 0-1 variables. solved LINGO 9.0 software package, final solution obtained. obtained optimal comprises two saves SR 580,000 or 27,750,000 compared other solutions only one method provision.