EFFICIENT ALGORITHMS FOR TRAVELLING SALESMAN PROBLEMS ARISING IN WAREHOUSE ORDER PICKING

On Solving Travelling Salesman Problems by Genetic Algorithms

We present a genetic algorithm for solving the traveling salesman problem by genetic algorithms to optimality for traveling salesman problems with up to 442 cities. Mlihlenbein et al. [MGK 88], [MK 89] have proposed a genetic algorithm for the traveling salesman problem, which generates very good but not optimal solutions for traveling salesman problems with 442 and 531 cities. We have improved...

Order-Picking in a Rectangular Warehouse: A Solvable Case of the Traveling Salesman Problem

in press. 17 H and L chain preparations in 1 M propionic acid were mixed in the ratio of 3: 1 based on O.D. and then dialyzed against cold water followed by borate buffer. 18 This arc was not apparent in the plate of the original y-globulin nor in any of the other plates. It did not appear when the horse anti-rabbit globulin was absorbed with normal rabbit 72-globulin prior to diffusion. Since ...

Heuristics for sparse general travelling salesman problems

The well-known travelling salesman problem can be expressed in graphtheoretic terms as follows : find a minimum-weight Hamiltonian cycle in a connected edge-weighted graph G(N, A). vVe concentrate here on the problem where G is large and sparse, i.e., where INI is 500 or more and IAI is O( INI). Such graphs arise frequently in practice, where G represents a road network, and each node (city) is...

On Random Symmetric Travelling Salesman Problems

Let the edges of the complete graph Kn be assigned independent uniform [0; 1] random edge weights. Let ZTSP and Z2FAC be the weights of the minimum length travelling salesman tour and minimum weight 2-factor respectively. We show that whp jZTSP Z2FAC j = o(1). The proof is via by the analysis of a polynomial time algorithm that nds a tour only a little longer than Z2FAC .

On random symmetri travelling salesman problems