A study of the economic distribution of maize throughout South Africa is reported. Although the problem of minimizing total transportation costs in such a situation is a classical one, and its solution is well known, there was in this case a high degree of degeneracy in the system and thus the solution was not unique. Also, since a user is required to pay his own transportation costs, the various optimal solutions were not equivalent. A secondary problem thus arose, viz. that of selecting from these optimal solutions the one which would be fairest to all users. A heuristic and a goal programming method for solving this
Reference:
Stewart, TJ and Ittmann, HW. 1979. Two-stage optimization in a transportation problem. The Journal of the Operational Research Society, Vol. 30(10), pp 897-904
Stewart, T., & Ittmann, H. (1979). Two-stage optimization in a transportation problem. http://hdl.handle.net/10204/2455
Stewart, TJ, and HW Ittmann "Two-stage optimization in a transportation problem." (1979) http://hdl.handle.net/10204/2455
Stewart T, Ittmann H. Two-stage optimization in a transportation problem. 1979; http://hdl.handle.net/10204/2455.