TRADE-OFF TRANSPORTATION PROBLEM

The purpose of the work is to offer a new solution to the transportation problem. The article looks into a new type of transportation problems that take into account supply and demand. The classical transportation problem expresses the interests of one party - goods supplier. Supply and demand exist in real market conditions. The article introduces a new concept of dual transportation problem. Double transportation problem respects the interests of supplier and consumer. Such problem is called double, since it gives two solutions. The article analyzes different criteria for solving game-theoretic problems and chooses a suitable method for solving a transportation problem. The article provides a solution to the transportation problem based on pure strategies using the minimax criterion. Solving a double transportation problem allows finding the saddle point. The saddle point determines the equilibrium point between supply and demand and is a market solution to the transportation problem. This approach gives more possibilities for solving transportation problems in market conditions.