Optimal solution for a single period inventory model with fuzzy cost and demand as a fuzzy random variable

2015 ◽  
Vol 28 (3) ◽  
pp. 1195-1203 ◽  
Author(s):  
J.K. Dash ◽  
Anuradha Sahoo
Keyword(s):  
Fuzzy Random Variable ◽  
Optimal Solution ◽  
Random Variable ◽  
Inventory Model ◽  
Single Period ◽  
Fuzzy Cost ◽  
Fuzzy Random

scholarly journals A Novel Method for Optimal Solution of Fuzzy Chance Constraint Single-Period Inventory Model

2016 ◽  
Vol 2016 ◽  
pp. 1-10 ◽  
Author(s):  
Anuradha Sahoo ◽  
J. K. Dash
Keyword(s):  
Programming Problem ◽  
Fuzzy Random Variable ◽  
Optimal Solution ◽  
Random Variable ◽  
Chance Constraint ◽  
Chance Constrained Programming ◽  
Storage Space ◽  
Weighted Sum Method ◽  
Single Period ◽  
Constrained Programming

A method is proposed for solving single-period inventory fuzzy probabilistic model (SPIFPM) with fuzzy demand and fuzzy storage space under a chance constraint. Our objective is to maximize the total profit for both overstock and understock situations, where the demandD~jfor each productjin the objective function is considered as a fuzzy random variable (FRV) and with the available storage space areaW~, which is also a FRV under normal distribution and exponential distribution. Initially we used the weighted sum method to consider both overstock and understock situations. Then the fuzziness of the model is removed by ranking function method and the randomness of the model is removed by chance constrained programming problem, which is a deterministic nonlinear programming problem (NLPP) model. Finally this NLPP is solved by using LINGO software. To validate and to demonstrate the results of the proposed model, numerical examples are given.

scholarly journals On Distribution Characteristics of a Fuzzy Random Variable

2018 ◽  
Vol 47 (2) ◽  
pp. 53-67 ◽  
Author(s):  
Jalal Chachi
Keyword(s):  
Probability Theory ◽  
Distribution Function ◽  
Cumulative Distribution Function ◽  
Random Variables ◽  
Fuzzy Random Variable ◽  
Random Variable ◽  
Cumulative Distribution ◽  
Distribution Characteristics ◽  
Fuzzy Random Variables ◽  
Fuzzy Random

In this paper, rst a new notion of fuzzy random variables is introduced. Then, usingclassical techniques in Probability Theory, some aspects and results associated to a randomvariable (including expectation, variance, covariance, correlation coecient, etc.) will beextended to this new environment. Furthermore, within this framework, we can use thetools of general Probability Theory to dene fuzzy cumulative distribution function of afuzzy random variable.

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