Traortation allocate a part of remarkable Grass national production of each country and its equipment is one of the biggest consumer of oil production. In recent years many attempt has been done to reduce Greenhause gases prodused by vehicles. Because using oil production by vehicle causes Greenhause gases, decresing the use of this products can help to reduce pollution. Traortation is one of the main part of logistics and Inventory routing problem is one the important problem of this domain. In this thesis, by considering factors such as vehicle load, vehicle speed and road slope, tried to optimize the costs of fuel, driver, inventory and use of vehicle. With respect to the mentioned factors, a mix integer linear program have been present to minimize sum of costs. using of this model in problem without time window and problem with timewindow shows %5.1 and %8.5saving in cost, respectively . Because the problem is NP-hard, problem is solved with combine hueristic algorithms and metahueristic algorithms in large sizes. Modified Clarke and Wright algorithm, modified PFIH algorithm and speed optimization algorithm are used for solving routing part and suggested Tabu Search algorithm and its improvement and Differential algorithm are used for solving inventory part. Problems are generate with and without time window by using Solomon and Agert problem respectively. With respect to results, improved suggested Tabu Search is better than two other algorithms