An extended multiple Traveling Salesman Problem
نویسندگان
چکیده
This paper deals with the routing problem of health care sta in a home health care problem. Given a list of patients needing several cares, the problem is to assign cares to care workers. Some cares have to be performed by several persons and some cares cannot be performed with others. If a patient needs several cares, he may want to be treated by the same person. Moreover, some skills constraints and time windows have to be satis ed. We show that this problem is equivalent to a multiple traveling salesman problem with time windows (mTSPWT) with some speci c constraints. For solving this problem, we propose an integer linear program with some technical improvements.
منابع مشابه
Solving the Multiple Traveling Salesman Problem by a Novel Meta-heuristic Algorithm
The multiple traveling salesman problem (MTSP) is a generalization of the famous traveling salesman problem (TSP), where more than one salesman is used in the solution. Although the MTSP is a typical kind of computationally complex combinatorial optimization problem, it can be extended to a wide variety of routing problems. This paper presents an efficient and evolutionary optimization algorith...
متن کاملAn Effective Genetic Algorithm for Solving the Multiple Traveling Salesman Problem
The multiple traveling salesman problem (MTSP) involves scheduling m > 1 salesmen to visit a set of n > m nodes so that each node is visited exactly once. The objective is to minimize the total distance traveled by all the salesmen. The MTSP is an example of combinatorial optimization problems, and has a multiplicity of applications, mostly in the areas of routing and scheduling. In this paper,...
متن کاملA New Hybrid Parallel Simulated Annealing Algorithm for Travelling Salesman Problem with Multiple Transporters
In today’s competitive transportation systems, passengers search to find traveling agencies that are able to serve them efficiently considering both traveling time and transportation costs. In this paper, we present a new model for the traveling salesman problem with multiple transporters (TSPMT). In the proposed model, which is more applicable than the traditional versions, each city has diffe...
متن کاملSolving the Traveling Salesman Problem by an Efficient Hybrid Metaheuristic Algorithm
The traveling salesman problem (TSP) is the problem of finding the shortest tour through all the nodes that a salesman has to visit. The TSP is probably the most famous and extensively studied problem in the field of combinatorial optimization. Because this problem is an NP-hard problem, practical large-scale instances cannot be solved by exact algorithms within acceptable computational times. ...
متن کاملSolving the Traveling Salesman Problem by an Efficient Hybrid Metaheuristic Algorithm
The traveling salesman problem (TSP) is the problem of finding the shortest tour through all the nodes that a salesman has to visit. The TSP is probably the most famous and extensively studied problem in the field of combinatorial optimization. Because this problem is an NP-hard problem, practical large-scale instances cannot be solved by exact algorithms within acceptable computational times. ...
متن کاملAn Approach for Solving Traveling Salesman Problem
In this paper, we introduce a new approach for solving the traveling salesman problems (TSP) and provide a solution algorithm for a variant of this problem. The concept of the proposed method is based on the Hungarian algorithm, which has been used to solve an assignment problem for reaching an optimal solution. We introduced a new fittest criterion for crossing over such problems, and illu...
متن کامل