An Exact l1 Penalty Approach for Interval-ValuedProgramming Problem
The objective of this paper is to propose an exact l1 penalty method for
constrained interval-valued programming problems which transform the constrained
problem into an unconstrained interval-valued penalized optimization problem. Under
some suitable conditions, we establish the equivalence between an optimal solution of
interval-valued primal and penalized optimization problem. Moreover, saddle-point
type optimality conditions are also established in order to find the relation between an
optimal solution of penalized optimization problem and saddle-point of Lagrangian
function. Numerical examples are given to illustrate the derived results.
Anurag Jayswal · Jonaki Banerjee . An Exact l1 Penalty Approach for Interval-ValuedProgramming Problem[J]. Journal of the Operations Research Society of China, 2016 , 4(4) : 461 . DOI: 10.1007/s40305-016-0120-8
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