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optimal solution set in interval quadratic programming problem
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نویسنده
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mishmast nehi hassan ,ghorbani hormazdabadi mahdieh ,allahdadi mehdi
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منبع
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journal of mathematical extension - 2020 - دوره : 14 - شماره : 2 - صفحه:189 -205
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چکیده
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Here are several methods to compute the optimal bounds of the objective function for interval quadratic programming (iqp) problems, but no method has yet been suggested to calculate a set of optimal solutions of iqp problems. this paper presents an accurate set of optimal solutions for the interval quadratic programming problems. the optimal solution of the quadratic programming problem is not essentially an extreme point. we first propose conditions that make the optimal solutions of the iqp to extreme points and then, using these conditions, we compute the exact set of optimal solutions for the iqp problem. under these conditions, we show the intersection of two regions is equal to a set of optimal solutions of iqp.
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کلیدواژه
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interval matrix ,interval quadratic programming ,optimal solution set ,extreme point
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آدرس
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university of sistan and baluchestan, department of mathematics, iran, islamic azad university, kerman branch, department of mathematics, iran, university of sistan and baluchestan, department of mathematics, iran
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پست الکترونیکی
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m_allahdadi@math.usb.ac.ir
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Authors
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