A Green Vendor Managed Inventory of a Multi-item Multi-retailer EPQ model under Fuzzy Environment with Stochastic Constraints: A Geometric Programming Approach

2018 ◽  
Author(s):  
Yasaman Karimian ◽  
Saeedeh Ahmadi Basir
2020 ◽  
Vol 54 (5) ◽  
pp. 1401-1418
Author(s):  
Yasaman Karimian ◽  
Abolfazl Mirzazadeh ◽  
Seyed Hamidreza Pasandideh ◽  
Mohammad Namakshenas

Due to the uncertain situations of the world, considering inventory management in a stochastic environment gains a lot of interest. In this paper, we propose a multi-item economic production quantity (EPQ) model with a shortage for a single-vendor, multi-retailer supply chain under vendor managed inventory (VMI) policy in a stochastic environment. Three stochastic constraints are developed in the model. Geometric programming (GP) approach is employed to find the optimal solution of the nonlinear stochastic programming problem to minimize the mean-variance of the total inventory cost of the system. Since the problem is in the Signomial form, first, an algorithm is used to convert the model into the standard GP form. The performance of the addressed model and the solving method are evaluated based on computational experiments and sensitivity analysis. A case study in an Iranian furniture supply chain is conducted to show the applicability of the proposed model and 17.78% improvement in terms of total cost is gained.


Execution of any project with optimum duration, cost, quality and risk is very significant for project administrators in recent very competitive commercial situation. Sometimes it is not possible to have detailed earlier statistics about project criteria. In such situations, estimation of different Decision makers are considered in linguistic variables and altered into triangular fuzzy numbers as fuzzy numbers have ability to deal with vagueness. In this paper, we frame a new multi-mode multi objective critical path problem and suggest a possibilistic methodology to find critical path for a project where three decision makers’ views are considered as three modes of execution in terms of linguistic variables. We have formulated model of multiple mode in project network problem and find its solution with fuzzy programming approach with exponential membership and linear membership function. The proposed approach is useful to solve multi-mode project management problem which calculates optimal critical path according to four criteria- time, cost, risk and quality with three activities modes of execution in fuzzy environment.


2007 ◽  
Vol 49 ◽  
pp. 139 ◽  
Author(s):  
Maryam Esmaeili ◽  
Panlop Zeephongsekul ◽  
Mir-Bahador Aryanezhad

2006 ◽  
Vol 173 (1) ◽  
pp. 199-210 ◽  
Author(s):  
Nirmal Kumar Mandal ◽  
Tapan Kumar Roy ◽  
Manoranjan Maiti

Sign in / Sign up

Export Citation Format

Share Document