Abstract
A recently-developed meta-heuristic optimization method, called the Harmony Search (HS) has gained more and more attentions for the ability to solve large-scale, difficult combinational optimization problems. And, recently, fourth-party logistics (4PL) also has been receiving more and more attentions from the manufacturing and retail industries. In this chapter, we set up the mathematical model of fourth-party logistics routing optimization with time windows (4PLRPTW) based on a multi-graph, firstly, then reviews the application of HS in areas of 4PLRPTW. Three specific cases are considered: seven nodes, fifteen nodes, and thirty nodes problems. According to the character of 4PLRPTW, we also design the repair strategy. The performance of the HS is compared with the designed enumeration algorithm in this chapter. The results of the numerical experiments show that the HS is effective in terms of solution quality and computational time.
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