A generalisation of variance model for solving random interval linear programming problems

Arjmandzadeh, Ziba; Safi, Mohamad Reza

doi:10.1080/23302674.2016.1224951

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Cited by 2 publications

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“…These data can be treated as samples from the interval-valued random variable. Some studies about random intervals in statistics, engineering, and optimization problems exist in the literature; see [1,3,4,14]. Moreover, some basic studies about the main characters of random intervals such as the range of the expected value, variance, covariance, and correlation coefficient have been done in the literature [5-7, 11, 12].…”

Section: Introductionmentioning

confidence: 99%

A goal programming approach for solving the random interval linear programming problem

Arjmandzadeh¹,

Safi²

2017

Turk J Math

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This paper presents a goal programming model for solving linear programming problems involving random interval coefficients. In this model, a random interval with known characters is considered as the aspiration level (target) of the objective function. The original problem involving random interval parameters is transformed into a biobjective equivalent problem using the proposed model. Defining an auxiliary variable, an approach for solving the biobjective problem is presented. Two numerical examples are carried out to show the efficiency of the proposed model.

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Section: Introductionmentioning

confidence: 99%