<p>In this article, we have proposed a new interval-oriented technique for full Interval linear programming problems. This kind of problem not only involves interval-valued model parameters but also the decision variables are anticipated as interval-valued variables. Consideration of decision variables in interval form is much more realistic for decision-making in uncertain or inexact environments. At first, the interval variables are mathematically signified in the light of real-life problems. The problems are reduced to non-interval (crisp) Bi-objective linear programming problems which, normally, have uncountable many Pareto optimal solutions. The main goal lying behind this interval-oriented solution methodology is to achieve a Pareto optimal solution that is highly acceptable because of accuracy, elapsed time, and computational effort. Finally, the method is applied to a good number of test problems most of those are cited from the existing literature and the results are compared with the same.</p>

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Interval linear programming problem with interval valued decision variables

  • Jewel Karmakar,
  • Samiran Karmakar,
  • Sanat Kumar Mahato

摘要

In this article, we have proposed a new interval-oriented technique for full Interval linear programming problems. This kind of problem not only involves interval-valued model parameters but also the decision variables are anticipated as interval-valued variables. Consideration of decision variables in interval form is much more realistic for decision-making in uncertain or inexact environments. At first, the interval variables are mathematically signified in the light of real-life problems. The problems are reduced to non-interval (crisp) Bi-objective linear programming problems which, normally, have uncountable many Pareto optimal solutions. The main goal lying behind this interval-oriented solution methodology is to achieve a Pareto optimal solution that is highly acceptable because of accuracy, elapsed time, and computational effort. Finally, the method is applied to a good number of test problems most of those are cited from the existing literature and the results are compared with the same.