Optimal Configuration Method Of Production Logistics Resources Based On M/M/n Queuing Model

Production logistics which is the logistics activities that occur in the production is the important process which connects production activities in sequence. In recent years, market demand is developing toward diversified and personalized direction. In order to response quickly to market demand, enterprise need to make complex production plan and use the real-time adjustment of the dynamic production logistics to link up each part of production process to ensure the smooth implementation of the production plan. Production logistics transportation system is the fundamental factor which decides implementation efficiency of production logistics process. Therefore, reasonable configuration of the resources in this system is crucial. The traditional production logistics and transport resource configuration method haven’t been able to cope with the uncertainty of dynamic production logistics demand, making it difficult to meet the timeliness and accuracy of material delivery requirements. Queuing theory is the theory of random service system. The M/M/n queuing model is used to study the random service system whose arrive process is subjected to Poisson flow and service time obeys the negative exponential distribution. On the basis of the exisiting research, this paper make a study on the optimal configuration of dynamic production logistics transportation resource with the method of queuing theory.First of all, the influence factors on production logistics and transport resources optimization configuration were analyzed in this thesis. Meanwhile, combined with production storage process which is the last link of a chemical enterprise production logistics, the demand dynamic, uncertainty in the process of storage, logistics transportation constraints in the optimal configuration of transportation resource were analyzed.Secondly, optimal configuration model based on M/M/n queuing model of logistics transportation resource was established in the dynamic change of annual logistics transportation demand. The annual operation cost of the production logistics system is the optimal target. The annual operation cost mainly consist of depreciation cost of logistics transportation resources, overhaul and maintenance cost, power cost, resource rent cost and logistics product delivery delay cost caused by low production efficiency. Resource utilization rate, work hours, logistics task quantity, replaceability of resource were in consideration.Thirdly, an improved particle swarm optimization algorithm is proposed for the optimal configuration of logistics resources. The particle swarm optimization algorithm was applied to discrete programming model by algorithm coding and fitness function design. Initialization strategy in small neighborhood was designed based on the change of fitness during the algorithm search process.Finally, a case study of a chemical enterprise’s actual production logistics process was given. Optimal configuration of logistics resources in this enterprise production logistics process during different period was acquired with the established mathematical model and the improved particle swarm algorithm. The effectiveness of the proposed method was verified by the result analysis. The sensitivity of purchasing price and the rent price of logistics transportation resources are analyzed, the influence of purchase price and lease price on the allocation of resources is obtained. The production logistics transportation resources optimization configuration model in dynamic demand of logistics and improved particle swarm algorithm proposed in this paper compensate the lack of the existing production logistics transportation resource configuration method, and also provides guidance and reference for the enterprise logistics resource configuration.