A Multiproduct Single-Period Inventory Management Problem under Variable Possibility Distributions
Joint Authors
Liu, Y. K.
Guo, Zhaozhuang
Tian, Shengnan
Source
Mathematical Problems in Engineering
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-12-20
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
In multiproduct single-period inventory management problem (MSIMP), the optimal order quantity often depends on the distributions of uncertain parameters.
However, the distribution information about uncertain parameters is usually partially available.
To model this situation, a MSIMP is studied by credibilistic optimization method, where the uncertain demand and carbon emission are characterized by variable possibility distributions.
First, the uncertain demand and carbon emission are characterized by generalized parametric interval-valued (PIV) fuzzy variables, and the analytical expressions about the mean values and second-order moments of selection variables are established.
Taking second-order moment as a risk measure, a new credibilistic multiproduct single-period inventory management model is developed under mean-moment optimization criterion.
Furthermore, the proposed model is converted to its equivalent deterministic model.
Taking advantage of the structural characteristics of the deterministic model, a domain decomposition method is designed to find the optimal order quantities.
Finally, a numerical example is provided to illustrate the efficiency of the proposed mean-moment credibilistic optimization method.
The computational results demonstrate that a small perturbation of the possibility distribution can make the nominal optimal solution infeasible.
In this case, the decision makers should employ the proposed credibilistic optimization method to find the optimal order quantities.
American Psychological Association (APA)
Guo, Zhaozhuang& Tian, Shengnan& Liu, Y. K.. 2017. A Multiproduct Single-Period Inventory Management Problem under Variable Possibility Distributions. Mathematical Problems in Engineering،Vol. 2017, no. 2017, pp.1-14.
https://search.emarefa.net/detail/BIM-1189776
Modern Language Association (MLA)
Guo, Zhaozhuang…[et al.]. A Multiproduct Single-Period Inventory Management Problem under Variable Possibility Distributions. Mathematical Problems in Engineering No. 2017 (2017), pp.1-14.
https://search.emarefa.net/detail/BIM-1189776
American Medical Association (AMA)
Guo, Zhaozhuang& Tian, Shengnan& Liu, Y. K.. A Multiproduct Single-Period Inventory Management Problem under Variable Possibility Distributions. Mathematical Problems in Engineering. 2017. Vol. 2017, no. 2017, pp.1-14.
https://search.emarefa.net/detail/BIM-1189776
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1189776