في هذا البحث ندرس إمكانية المساهمة في حل مسألة البائع المتجول Traveling Salesman Problem (TSP , التي هي مسألة من النوع NP-hard و لا توجد حتى الآن خوارزمية تقدم لنا الحل الأمثل لهذه المسألة ، فكل الخوارزميات المستخدمة تعطي حمولاً تقريبية .
In this research we are studying the possibility of contributing in
solving the problem of the Traveling Salesman Problem, which is
a problem of the type NP-hard . And there is still no algorithm
provides us with the Optimal solution to this problem . All the
algorithms used to give solutions which are close to the optimal
one .
References used
DANTZIG, G.B., FULKERSON, D.R., JOHNSON, S.M, 1959 Solution of a large scale traveling salesman problem, Operation Research, vol. 2, 1954,pp.393-395
WILLIAM ,C. 2012 . In Pursuit of the Traveling Salesman ,Mathematics at the Limits of Computation , 245 P
APPLEGATE. D.L, R. BIXBY, V. CHVÁTAL, COOK .W.J, ESPINOZA. D , GOYCOOLEA .M, ANDHELSGAUN. K 2009 . Certification of an optimal tsp tour through 85,900 cities. pp ,1-3
We study in this paper the possibility of contribution in solving the vehicle routing problem (VRP) by using the improved ant colony system ( IACS) , which is one of the optimization problems that, because of its Real Life applications, has attracted
In the Multi-objective Traveling Salesman Problem (moTSP)
simultaneous optimization of more than one objective functions is
required. This paper proposes hybrid algorithm to solve the multiobjectives
Traveling Salesman problem through the integration of
the ant colony optimization algorithm with the Genetic algorithm.
In this research, we are studying the possibility of contribution in solving the Vehicle Routing Problem With Time Windows(VRPWTW), that is one of the optimization problems of the NP-hard type. This problem has attracted a lot of attention at the pre
In this research, we are studying the possibility of contribution
in solving the multi-objective vehicle Routing problem with time
windows , that is one of the optimization problems of the NP-hard
type , This problem has attracted a lot of attenti
n this research, we are studying the possibility of contribution in solving the Vehicle Routing Problem (VRP), which is one of the optimization problems that, because of its Real Life applications, has attracted a lot of attention at the present tim