Thanks a lot Ian. Your post helped me understand the problem in a much better way and I've solved the first objective thanks to you but incase of my second objective which is minimize the number of nodes, I have got one of the weirdest looking constraints which I don't know how to express in Python because python basically takes matrices and inputs them into cplex. My constraint is as below. Thsi was what I wrote in AMPL
minimize phy_nodes: sum {w in PHY_NODES} x_ns[w] ; s.t. Phy_nodes_Eq{w in PHY_NODES, dns in DEMAND}: x_ns[w] = 1 ==> x_SGW[dns, w] + x_PGW[dns, w] + x_MME[dns, w] + x_IMS[dns, w] + x_PoP[dns, w] >= 1 else x_SGW[dns, w] + x_PGW[dns, w] + x_MME[dns, w] + x_IMS[dns, w] + x_PoP[dns, w] = 0; Could you help me fix this problem? -- https://mail.python.org/mailman/listinfo/python-list