Pii: S0191-2615(99)00021-1
نویسنده
چکیده
We consider nonlinear nonconvex capacitated transportation problems where the nonlinearity occurs only in the last row of the transportation tableau. This transportation model can be successfully applied to economics representing the nonlinearity caused by penalties for unsatis®ed contractual quantities or by changing in price. An algorithm for local optimization, based on the algorithms for solving linear transportation problems, is suggested. It consists of three phases ± initial, linear and nonlinear. The nonlinear phase uses auxiliary linear transportation problems. The algorithm is illustrated by proper examples. Sucient conditions for satisfying contractual supplies are given. Ó 2000 Elsevier Science Ltd. All rights reserved.
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