This chapter contains an interval-oriented and multi-objective optimization-based method for interval quadratic programming problems (IQPP) with interval decision variables. Interval-valued quadratic objective functions are converted to center and width form using finite interval arithmetic. Linear interval constraints are handled using interval order relations defined in terms of decision makers’ point of view. The IQPP is then converted to a non-interval (crisp) bi-objective optimization problem and solved by the Global Criterion Method (GCM). The main intention of our technique is to find an efficient solution from the decision makers’ viewpoint out of uncountably many such solutions. Finally, the method is applied to several test problems and the results are compared with the existing solutions supporting the technique.

错误:搜索内容不能为空,请输入英文关键词
错误:关键词超出字数限制,请精简
高级检索

Interval Quadratic Programming Problem with Interval-Valued Decision Variables

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

摘要

This chapter contains an interval-oriented and multi-objective optimization-based method for interval quadratic programming problems (IQPP) with interval decision variables. Interval-valued quadratic objective functions are converted to center and width form using finite interval arithmetic. Linear interval constraints are handled using interval order relations defined in terms of decision makers’ point of view. The IQPP is then converted to a non-interval (crisp) bi-objective optimization problem and solved by the Global Criterion Method (GCM). The main intention of our technique is to find an efficient solution from the decision makers’ viewpoint out of uncountably many such solutions. Finally, the method is applied to several test problems and the results are compared with the existing solutions supporting the technique.