Modeling Fuzzy Probability P Median without Obstacles (Case Study:Shopping Centers Shiraz)

Location the problem of Fermat Weber (median single-facility location problem), determining the optimal locations to serve our customers considered, so that the total distance between the location of the new facility and the customer is minimum. Another name for this problem is P median. Using the p median problem (where optimum location of facilitates with minimum total weighted cost is desired) for modeling of many real-world situations, such as public facilities or industrial location helpful. Multi-facility location problem (Multi Facility location Problem), single-facility location problem is similar with the difference that multi facilitates is considered optimum location. This problem with location allocation problem (location allocation problem) also known.In fact, each customer may have a probability to go shopping centers, so the problem allocation of location LAP research, customer demands and places as considered probable. Also, for the real problem, customer demand is considered as fuzzy. On the other hand, in real situation barriers may exist that allow establishment of new facilities in some locations is not possible. In these conditions, optimum locations of any of the facilities are not located within the barrier. Considering that some of the real issues, it should also be taken into consideration.Multi facilities location problems (MFLP) are NP Hard problems. Therefore we can easily problem the allocation problem and has probability to be added.Therefore, considering modeling and solving the fuzzy probability P median and the research topic without barriers so the genetic algorithm combined with fuzzy demand and the probable customer demand considering location new facilities and modeling are resolved.