Optimization Of Container Terminal Gate Based On Repairable Queueing System And Carbon Emission

With the steady growth of port throughput and the large-scale ships, the mismatch between gate carrying capacity and cargo transport demand has became the bottleneck of container terminal. Gate congestion is considered a regular problem for part container terminal. Planning the number of gate lanes reasonably, and coordinating relationship between gate lanes and the arrival rate, service rate, failure rate, repair rate is the key to improve the service levels and ensure the development space of port.Based on the theory of queueing system with server breakdown, the relationship between average queue length, average number of failure gate lanes and the arrival rate, service rate, failure rate and repair rate is built by analyzing the characteristics of container terminal gate operating systems comprehensively. Exploring the operation cost, maintenance cost, time costs, fuel costs, as well as the carbon cost, an optimization model considering carbon emission is established to minimize the total gate system cost subject to steady-state condition of queueing system with server breakdown.Finally, an example is given to calculate the optimum number of inbound gate lanes under different truck arrival rates, and analysis the effects of various model parameters. The results indicated that the order of magnitude of carbon emissions cost and total cost is different, but they can be minimized simultaneously. The optimum number of gate lanes is fixed value when the truck arrival rate, gate service rate, gate failure rate and repair rate varies in a certain range. The effect of truck arrival rate on optimum number of gate lanes is stable. The smaller of gate service rate, the more significant of the effect on optimum number of gate lanes. The effect of gate repair rate on optimum number of gate lanes is more significant than that of gate failure rate.