Vitrification of tank wastes to form glass is a technique that will be
used for the disposal of high-level waste at Hanford. Process and sto
rage economics show that minimizing the total number of glass logs pro
duced is the key to keeping cost as low as possible. The amount of gla
ss produced can be reduced by blending of the wastes. The optimal way
to combine the tanks to minimize the volume of glass can be determined
from a discrete blend calculation. However, this problem results in a
combinatorial explosion as the number of tanks increases. Moreover, t
he property constraints make this problem highly nonconvex where many
algorithms get trapped in local minima. In this paper we examine the u
se of different combinatorial optimization approaches to solve this pr
oblem. A two-stage approach using a combination of simulated annealing
and nonlinear programming (NLP) is developed. The results of differen
t methods such as the heuristics approach based on human knowledge and
judgment, the mixed integer nonlinear programming (MINLP) approach wi
th GAMS, and branch and bound with lower bound derived from the struct
ure of the given blending problem are compared with this coupled simul
ated annealing and NLP approach.