Identifying Optimal Path to Boost Performance of Distribution Chain System Using Queueing Models

Abstract

Queueing model is a more effective tool to analyze the performance of distribution chain system which emphasize on quality of service (QoS). Single-channel system and multi-channel system are developed which perform the functioning of procurement of product, maintaining the stock level of products, transportation of products, and finally distribution of products to the customers. This process is done by each company, although the complexity of such exercise may vary from company to company. Performance measures provide the better potential and success of distribution system. In this research work, the authors explore the performance analysis of distribution chain system by M/M/1 and M/M/C queuing model. They examine the distribution chain system pattern via path analysis as single queue with single server model, single queue with multiple server model, and multiple queues with multiple server model. The authors have carried out the various performance measures as average queue length, response time, and waiting time corresponding to store, packing, and transportation by adopting different paths. The aim of this research work is to obtain the optimal path which provides the delivery of item as early as possible to the customer. In this context, the authors have presented the design of different service channels and evaluated their performance. Numerical illustrations have also been provided as a means of validation of the research work. The proposed model enhances lower inventories, higher productivity, lower cost, shorter lead time, higher profit, and customer satisfaction by adopting supply chain system.