Facility location-allocation models are used in a widespread variety of applications to determine the number of required facility along with the relevant allocation process. In this paper, a new mathematical model for the capacitated multi-facility location-allocation problem with probabilistic customer's locations and fuzzy customer’s demands under the Hurwicz criterion is proposed. Thi...

In this paper, we present a capacitated multiple allocation hub location problem, which arose from a network design problem in German wagonload traffic. We develop heuristic solution approaches based on local improvements. We solve the problem with the heuristics and CPLEX on test data sets provided by our partner Deutsche Bahn AG. The computational results are presented and compared.

In order to model capacitated location-allocation problem with fuzzy demands, three types of fuzzy programming models — fuzzy expected cost minimization model, fuzzy α-cost minimization model, and credibility maximization model — are proposed according to different decision criteria. For solving these models, some hybrid intelligent algorithms are also designed. Finally, several numerical exper...

We consider a capacitated supply system that produces a single item that is demanded by several classes of customers. Each customer class may have a different backorder cost, so stock allocation arises as a key decision problem. We model the supply system as a multicustomer make-to-stock queue. Using dynamic programming, we show that the optimal allocation policy has a simple and intuitive stru...

In this paper, we develop a capacitated location-covering model considering interval values for demand and service parameters. We also consider flexibility on distance standard for covering demand nodes by the servers. We use the satisfaction degree to represent the constraint of service capacity. The proposed model belongs to the class of mixed integer programming models. Our model can be redu...

Facility location allocation problem is a very important issue in today's global logistic management. Various facility location problems have been considered in operations research under somehow stringent conditions to reduce the search space. In this paper, we consider a class of single source capacitated facility location allocation problems that can assume more realistic conditions in real l...

This paper studies capacitated single-allocation hub covering location problem with fuzzy cover radius and travel time. Objective of hub covering problem is to find the minimum number of hubs considering the maximum allowable travel time. Computational results show that due to uncertainty, number of hubs and the allocation of non-hub nodes to hub nodes are changed. This paper proposes heuristic...