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Note that problem (11), which contains both integer and continuous variables, is a mixed combinatorial and non-convex optimization.
For solving the current optimization problem which contains both integer and continuous variables, a recently proposed adaptive elitist differential evolution (aeDE) algorithm is applied.
For solving the current optimization problems which contain both integer and continuous variables, an improved different evolution algorithm, named mixed-variable different evolution (mDE) is proposed.
The synthesis problem based upon the proposed superstructure results in a mixed integer nonlinear programming (MINLP) formulation in which the objective function involves both integer and continuous variables and is subject to a nonlinear set of constraints.
An evolutionary algorithm is used to generate a sequence of feasible designs with improved characteristics in a sequential solution/optimisation strategy, by specifying the design variables (both integer and continuous) that characterise a particular column configuration.
MIP formulation may include both integer and continuous variables, constraints (which typically enforce restrictions on permissible variable combinations), as well as an objective function, which provides for a means of evaluating the quality of a given solution satisfying the constraints (Floudas and Pardalos, 2009; Pardalos and Resende, 2002).
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Next, the heat load of heat exchanger for each individual is randomly expanded or contracted in order to optimize both the integer and continuous variables simultaneously and to obtain the lowest total annual cost.
An optimization problem for this evaluation is formulated as a minimax mixed-integer linear programming one with integer and continuous operation variables.
These improvements not only help balance effectively the global and local search abilities of the DE, but also help deal with integer and continuous design variables.
This paper proposes a novel numerical optimization procedure with mixed integer and continuous design variables for optimal design of laminated composite plates subjected to buckling loads.
The design of a rendezvous phasing special-point maneuvers can be formulated as a mixed one-zero, integer and continuous design variables problem.
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