No abstract

No abstract

No abstract

Please cite this article as: S.J. Sadjadi, A. Makui, E. Dehghani, M. Pourmohammad, Applying queuing approach for a stochastic location-inventory problem with two different mean inventory considerations, Appl. Math. Modelling (2015), doi: http://dx. ABSTRACTThis paper studies a three-level supply chain network, which includes a single supplier, multiple potential distribution centers (DCs) and multiple retailers. The problem is to optimize the facility location, allocation retailers' demands, and inventory replenishment decisions simultaneously such that the total expected costs of location, transportation and inventory are minimized. In order to make the problem more realistic, we consider uncertain demand and leadtime, which follow Poisson and Exponential distributions, respectively. Hence, a queueing approach is used to obtain the amount of annual ordering, purchase and shortage as well as the mean inventory in the steady-state condition. Then, according to the results of queuing analysis, we propose a mixed integer nonlinear programming model (MINLP) to address the locationinventory problem. Moreover, the expected mean inventory is calculated using two different methods and the results are also compared through different criteria.

No abstract