A nonlinear programming test problem

Abstract

Figure 1 is a flow diagram of the chemical process. The test problem was a hydrocarbon refrigeration process in which the feed stream (stream number 1 of Figure 1) is a vapor mixture of ethane, propane, and n-butane (subscripts e, p and b, respectively) at 200°F and 500 psia. The product stream (stream number 8 of Figure 1) is liquid at -20°F at some reduced pressure. The nonlinear objective function was the minimization of the cost of the work done by the recycle stream compressors. There were 34 bounded variables (both upper bound and lower bound) associated with the process, 12 linear equality constraints, 18 nonlinear equality constraints, and 3 linear inequality constraints (see PROBLEM). The generalized reduced gradient code of Abadie and Guigou reached the solution shown in Table 1 from the nonfeasible starting point shown in Table 2.

On the mechanism of seasonal and solar cycleNmF2variations: A quantitative estimate of the main parameters contribution using incoherent scatter radar observations

“…All aeronomic parameters are found simultaneously constituting a self-consistent set. The problem is solved using special methods of nonlinear programming [Himmelblau, 1972]. Usually the quality of the Ne(h) fitting is good enough under magnetically quiet conditions like for the dates in question (Figure 4).…”

Radiophysical and Dielectric Properties of Ore Minerals in 12--145 GHZ Frequency Range

“…In expression (7): f k is radiation frequency in interval ∆f ; R t (n , n , f k ) and T t (n , n , f k ) is theoretical value of R and T calculated based on (5) for the given optimization parameters n and n at radiation frequency f k ; R e (f k ) and T e (f k ) is experimental value of R and T at the same radiation frequency; M is the number of experimental points in frequency interval ∆f . Minimization of the criterion function was achieved by Rosenbrock method [11].…”

A study on the universal access to vaccines in Brazil

“…The model and the computational method were tested with a classic WTA instance from the literature: Himmelblau's problem 23 (Himmelblau, 1972), also described in Bracken & McCormick (1968). The problem is reformulated as a vaccination problem (Table 1), as follows: a given population, spread throughout 20 different administrative regions, is susceptible to epidemic diseases that can be combated by 5 distinct vaccines (V1, V2, V3, V4, V5) with poor effectivenesses, but equal costs (as all of them are supplied by the PNI).…”