Mean and CV reduction methods on Gaussian type-2 fuzzy set and its application to a multilevel profit transportation problem in a two-stage supply chain network

2016 ◽  
Vol 28 (9) ◽  
pp. 2703-2726 ◽  
Author(s):  
Dipak Kumar Jana ◽  
Sutapa Pramanik ◽  
Manoranjan Maiti
2017 ◽  
Vol 20 (1) ◽  
pp. 447-471 ◽  
Author(s):  
Mojtaba Akbari ◽  
Saber Molla-Alizadeh-Zavardehi ◽  
Sadegh Niroomand

Author(s):  
Dipak Kumar Jana ◽  
Sutapa Pramanik ◽  
Manoranjan Maiti

The transportation problem is an important and relevant supply chain optimization problem in the traffic engineering. This paper minimizes shipping costs of a three channel distribution system comprised of plants, distribution centers, and customers. Plants manufacture several products that are delivered to distribution centers. If a distribution center is used then fixed cost is charged. Customers are replenished by an only one distribution center. To characterize the uncertainty that typically occurs in many practical decision environments, this paper considers the supply capacities, demands as Gaussian type-2 fuzzy variables. To provide a modelling framework for optimization problems with multi-fold uncertainty, different reduction methods are proposed to transform a Gaussian type-2 fuzzy variable into a type-1 fuzzy variable by mean reduction method. Then the transportation problem is reformulated as a chance-constrained expected value model enlightened by the credibility optimization method. The deterministic models are then solved using two different soft computing techniques (i) Generalized Reduced Gradient (Lingo-14.0), and (ii) modified Particle Swarm Optimization(PSO), where the position of each particle is adjusted according to its own experience and that of its neighbors. The numerical experiments illustrate the application and effectiveness of the proposed solution approaches.


2014 ◽  
Vol 41 (1) ◽  
pp. 39-49 ◽  
Author(s):  
Yohanes Kristianto ◽  
Angappa Gunasekaran ◽  
Petri Helo ◽  
Yuqiuqe Hao

2018 ◽  
Vol 195 ◽  
pp. 27-44 ◽  
Author(s):  
Md Abdul Quddus ◽  
Sudipta Chowdhury ◽  
Mohammad Marufuzzaman ◽  
Fei Yu ◽  
Linkan Bian

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