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Modeling and solving a capacitated stochastic location-allocation problem using sub-sources
, Article Soft Computing ; Volume 20, Issue 6 , 2016 , Pages 2261-2280 ; 14327643 (ISSN) ; Mahdavi Amiri, N ; Shiripour, S ; Sharif University of Technology
Springer Verlag
Abstract
We study a capacitated multi-facility location-allocation problem in which the customers have stochastic demands based on Bernoulli distribution function. We consider the capacitated sub-sources of facilities to satisfy demands of customers. In the discrete stochastic problem, the goal is to find optimal locations of facilities among candidate locations and optimal allocations of existing customers to operating facilities so that the total sum of fixed costs of operating facilities, allocation cost of the customers, expected values of servicing and outsourcing costs is minimized. The model is formulated as a mixed-integer nonlinear programming problem. Since finding an optimal solution may...
A capacitated location-allocation problem with stochastic demands using sub-sources: An empirical study
, Article Applied Soft Computing Journal ; Volume 34 , 2015 , Pages 551-571 ; 15684946 (ISSN) ; Mahdavi, I ; Mahdavi Amiri, N ; Shiripour, S ; Sharif University of Technology
Elsevier Ltd
2015
Abstract
Abstract In a recent work, Alizadeh et al. (2013) studied a capacitated multi-facility location-allocation problem in which customers had stochastic demands based on the Bernoulli distribution function. Authors considered capacitated sub-sources of facilities to satisfy customer demands. In this discrete stochastic problem, the goal was to find optimal locations of facilities among candidate locations and optimal allocations of existing customers to operating facilities so that the total sum of fixed costs of operating facilities, allocation costs of customers and expected values of servicing and outsourcing costs was minimized. The model was formulated as a mixed-integer nonlinear...