Objective Function vs Constraints in Linear Programming Essay

Linear Programming Model in Operation query study is usually mathematical type of influence which contains set of equations that reconcile impersonal act upon and constraints. The keywords in this article are Objective melt and Constraints, according to Heizer & Render (2008) Objective Function are mathematical port expressed in linear programming designed to maximizes or minimizes rough quantity, for example profit can maximized while the cost might be reduced. The objective function is also called effectiveness function, it is the mathematical expression of the objectives which whitethorn be cost of procedure or profit on operation (Kumar and Hira, 2008). Constraints which is also know as restrictions are mathematical expressions of the limitations that are problematical in fulfilling the objectives they are caused by scarce or limited resources which may include m acey, space, manpower, materials and so on. Heizer & Render (2008) restrictd constraints as restrictions w hich limit the limit to which a manager can pursue an objective The objective function is more important than the constraints in a linear programming model under(a) the circumstances in which the controllable multivariates which is also called the decision variables forms the major components of the linear programming model. Controllable variables are the variables that are directly under the control of the operations analyst their values are determined by the solution of the problem. Using the stock control or inventory as an example, the controllable variables are the order size and the interval between the fit(p) orders (Kumar and Hira, 2008). On the other hand the constraints are more important than the objective function in linear program model when the models function depends mostly on the uncontrollable variables of the model. They are variables that are the function of the external surroundings and over which the operations analyst has no control, such variables are k nown as state of nature. Using the transportation system as an example, the per unit of measurement transportation cost is known as uncontrollable variable because it is subjected to continuous, constant change. In conclusion, it is imperative to understand and analyses the situation carefully before applying one linear programming over the other in other to rectify or optimize current operations (Heizer & Render, 2008). Furthermore, it is difficult to predict or choose without examining several samples, the more reason why it is important to define variables which represent the problemfrom the real world, then based on the variable determine the most applicable method (Heizer & Render, 2008).ReferencesHeizer, J. & Render, B. (2008) trading operations Management and Principles of Operations Management. PowerPoint presentation, 7th Edition. Prentice Hall, Inc., Upper Saddle River, N.J. 07458 Kumar, G.P. and Hira D.S. (2008). Operations Research, Revised Edition. Chand and associ ation Ltd., New Delhi.