this paper offers an approach that could be useful for diverse types of layout problems or even area allocation problems. by this approach there is no need to large number of discrete variables and only by few continues variables large-scale layout problems could be solved in polynomial time. this is resulted from dividing area into discrete and continuous dimensions. also defining decision var...

Many types of facility location/allocation models have been developed to find optimal spatial patterns with respect to location criteria such as: cost, time, coverage, and access. In this paper we develop and test location modeling formulations that utilize aspects of the data envelopment analysis (DEA) efficiency measure to find optimal and efficient facility location/allocation patterns. Solv...

This research develops a clustering-based location-allocation method to the Capacitated Facility Location Problem (CFLP), which provides an approximate optimal solution to determine the location and coverage of a set of facilities to serve the demands of a large number of locations. The allocation is constrained by facility capacities – different facilities may have different capacities and the...

http://dx.doi.org/10.1016/j.tre.2014.01.01

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...

One of the most challenging issues in multi-objective problems is finding Pareto optimal points. This paper describes an algorithm based on Benders Decomposition Algorithm (BDA) which tries to find Pareto solutions. For this aim, a multi-objective facility location allocation model is proposed. In this case, an integrated BDA and epsilon constraint method are proposed and it is shown that how P...

Most of the infrastructures planning problems like facility location, allocation of resources, and path planning are based on the network topology created from maps with spatial and non-spatial attributes. The problem is where do you locate new facilities? In this example, the facility can be on any node i.e. at any road junction. It is also possible to locate a facility in the middle of the ro...