DEVELOPING INVENTORY CONTROL MODEL (R, Q) WITH FUZZY-STOCHASTIC MULTI OBJECTIVE APPROACH

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NAYEBI MOHAMMAD AMIN; PANAHINIA ABBASS

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Journal: QUANTITATIVE RESEARCHES IN MANAGEMENT Year:2011 | Volume:2 | Issue:2 Page(s): 43-62

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Information Journal Paper

Title

DEVELOPING INVENTORY CONTROL MODEL (R, Q) WITH FUZZY-STOCHASTIC MULTI OBJECTIVE APPROACH

Author(s)

NAYEBI MOHAMMAD AMIN | PANAHINIA ABBASS | Issue Writer Certificate

Keywords

(RQ2

Q) ORDERING SYSTEMQ2

MULTI OBJECTIVE PROGRAMMINGQ2

FUZZY-CHANCE CONSTRAINED PROGRAMMINGQ2

Abstract

Classical inventory models are not able to encode precision and certainty of classical mathematical logic. Actually, a realistic situation is no longer realistic when the imprecise and uncertain information are neglected for the sake of mathematical model building. In this paper we developed inventory control model (r,Q) in multi-items environment with two objectives as minimizing costs (holding & shortage) and risk level under constraints including available budgetary, the least service level, storage spaces & allowable quantities of shortage. Demand distribution functions are assumed to be exponential and extra demands are supposed as lost sales. At first we develop crisp model then fuzzy stochastic model with fuzzy budgetary, allowable quantities of shortage and shortage spaces (i. e. stochastic with normal distribution function) parameter. All of fuzzy numbers are triangular type. In methodology of solution we change model to a crisp multi-objective by using difuzzification of fuzzy constraints and fuzzy chance-constrained programming methods, and then solve it by fuzzy logic method. Finally an illustrated example is taken and solved using LINGO package.

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APA: Copy

NAYEBI, MOHAMMAD AMIN, & PANAHINIA, ABBASS. (2011). DEVELOPING INVENTORY CONTROL MODEL (R, Q) WITH FUZZY-STOCHASTIC MULTI OBJECTIVE APPROACH. QUANTITATIVE RESEARCHES IN MANAGEMENT, 2(2), 43-62. SID. https://sid.ir/paper/191910/en

Vancouver: Copy

NAYEBI MOHAMMAD AMIN, PANAHINIA ABBASS. DEVELOPING INVENTORY CONTROL MODEL (R, Q) WITH FUZZY-STOCHASTIC MULTI OBJECTIVE APPROACH. QUANTITATIVE RESEARCHES IN MANAGEMENT[Internet]. 2011;2(2):43-62. Available from: https://sid.ir/paper/191910/en

IEEE: Copy

MOHAMMAD AMIN NAYEBI, and ABBASS PANAHINIA, “DEVELOPING INVENTORY CONTROL MODEL (R, Q) WITH FUZZY-STOCHASTIC MULTI OBJECTIVE APPROACH,” QUANTITATIVE RESEARCHES IN MANAGEMENT, vol. 2, no. 2, pp. 43–62, 2011, [Online]. Available: https://sid.ir/paper/191910/en

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