Asian Journal of Industrial Engineering1996-3386xxxx-xxxxAsian Network for Scientific Information10.3923/ajie.2012.17.29FazlollahtabarHamed MahdaviIraj Mahdavi-AmiriNezam MohajeriAmir 1201241The development of robust supply chains requires careful attention to both the location of individual supplier facilities and the opportunities for effective transportation among them. Here, we propose a supply chain which considers multiple depots, multiple vehicles, multiple products and multiple customers, with multi time periods. The supplier receives the order and forwards it to depots of multiple products. The depots investigate the capacity level and accept/refuse supplying the order. Considering the location of the customers, the depots decide upon sending the suitable vehicles. Each vehicle has its specific traveling time and cost. We present a mathematical model for the allocation of orders to depots and vehicles minimizing the total cost. We also provide a Lingo encoding and use it to solve an illustrating example to show the effectiveness of the proposed model.]]>Ahmadi, M. and E. Teimouri,2008832143220Anupindi, R. and Y. Bassok,19961996pp: 8792Baron, O., O. Berman and D. Wu,20082008Beckmann, M.J., C.B. McGuire and C.B. Winsten,1956Bernstein, F. and A. Federgruen,2005511829Bonanno, G. and J. Vickers,198836257265Boyce, D.E., K.S. Chon, Y.J. Lee, K.T. Lin and L.J. LeBlanc,19831512191230Cachon, G.P.,20032003pp: 229-340pp: 229-340Cachon, G.P. and M.A. Lariviere,2005513044Pasternack, B.A.,19854166176Cordeau, J.F., M. Gendreau, G. Laporte, J.Y. Potvin and F. Semet,200253512522Coughlan, A.T.,19854110129Currie, R.H. and S. Salhi,200354390400Dafermos, S.,1980144254Dafermos, S.,1982125772Desrosiers, J., Y. Dumas, M.M. Solomon and F. Soumis,19951995pp: 35-139pp: 35-139Florian, M. and D. Hearn,19851985pp: 485-550pp: 485-550Ghoseiri, K. and S.F. Ghannadpour,200997987Ismail, Z. and Irhamah,2008832283234Jeuland, A.P. and S.M. Shugan,19832239272Khurana, M.K., P.K. Mishra and A.R. Singh,20111929Kouvelis, P., C. Chambers and H. Wang,200615449469Laporte, G., M. Gendreau, J.Y. Potvin and F. Semet,20007285300Lee, H.L. and C. Billington,199341835847Liu, J., C.L. Li and C.Y. Chan,200339325339McGuire, T.W. and R. Staelin,19832161191Moorthy, K.S.,19887335355Nagurney, A.,19992nd Edn.,Pages: 412Pages: 412Nagurney, A.,2000Pages: 286Pages: 286Patriksson, M.,1994Pages: 223Pages: 223Pigou, A.C.,19201st Edn.,pp: 147-176pp: 147-176Neghab, M.P. and R. Haji,20088163167Savelsbergh, M.W.P. and M. Sol,1995291729Shafia, M.A., M. Fathollah and H. Ghazanfari,20099214225Shahrabi, J., S.S. Mousavi and M. Heydar,20099521527Sigurd, M., D. Pisinger and M. Sig,200438197209Slats, P.,199587120Smith, M.J.,197913295304Tang, C.S.,2006103451488Toth, P. and D. Vigo,2002Tsay, A.A.,19994513391358Wu, O. and H. Chen,20032003Chong, A.Y.L. and K.B. Ooi,2008838363844Zhang, X., J. Crabtree, Y. Huang and T. Hu,201110703709Lin, R.Y. and L.Z. Kong,20022002pp: 352361