Introduction to operations research, 4th ed.
Introduction to operations research, 4th ed.
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This paper deals with formulation and solution of an optimization problem related to a drug industry wherein a drug manufacturing experiment is conducted with multiple reagent levels, a single incubation temperature, and a single incubation time. Since various experiments are conducted with multiple values of reagent levels, it is decided to have a common measurement factor for all the experiments for comparison purposes. This factor is taken as a scalar binding factor. This binding factor is expressed as a linear function of reagent levels, incubation temperature, and incubation time. All these three variables are treated as probabilistic and, hence, are supposed to have a certain distribution. It is also assumed that each drug manufacturing experiment is characterized by a single binding value or binding factor. The higher the binding, the experiment is considered better. Further, it is assumed in this study that the mean binding factor is a monotonically non-decreasing function of incubation time. Since the experiments are expensive to run and the cost is proportional to incubation time, and, also, since there is a cost of a reagent, this is a complex problem. It becomes even more complex because the stochastic aspects of the process are to be considered in the optimization problem formulation. This problem dealing with manufacturing of a drug [1, 2] is formulated as an optimization problem.