Scholarlink

<p>This article explores the transient dynamics of a single sever Markovian queuing system with finite buffer (M/M/1/N) focusing on customer attrition phenomena, specifically reverse balking and reneging. While previous research has predominantly concentrated on steady-state solutions, this article addresses a notable gap in the literature by exploring the transient behavior of queuing systems that incorporate reverse balking and reneging. Reverse balking occurs when customers decide to join a queue upon observing more number of customers in the system. Reneging refers to the situation where customers abandon the queue due to impatience with prolonged waiting times. The explicit transient state solutions of the proposed model are obtained through a matrix approach using Laplace transforms. Additionally, the study introduces the optimization of the total expected cost function in discrete time using the Quadratic Fit Search Method (QFSM), enhancing the understanding of cost management in real-time scenarios. This approach provides valuable insights for businesses to develop more effective strategies for reducing customer attrition and optimizing service operations. Additionally, real-life application is provided, demonstrating the applicability of the proposed optimization analysis in real-world situations to manage service capacity and associated costs effectively.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Transient Analysis and Cost Optimization in Single Server Markovian Queuing System with Reverse Balking and Reneging

  • 期刊论文

  • 发表日期：

    2025年5月28日

查看全文
  • Asmita Tamuli,
  • Dhruba Das

摘要

This article explores the transient dynamics of a single sever Markovian queuing system with finite buffer (M/M/1/N) focusing on customer attrition phenomena, specifically reverse balking and reneging. While previous research has predominantly concentrated on steady-state solutions, this article addresses a notable gap in the literature by exploring the transient behavior of queuing systems that incorporate reverse balking and reneging. Reverse balking occurs when customers decide to join a queue upon observing more number of customers in the system. Reneging refers to the situation where customers abandon the queue due to impatience with prolonged waiting times. The explicit transient state solutions of the proposed model are obtained through a matrix approach using Laplace transforms. Additionally, the study introduces the optimization of the total expected cost function in discrete time using the Quadratic Fit Search Method (QFSM), enhancing the understanding of cost management in real-time scenarios. This approach provides valuable insights for businesses to develop more effective strategies for reducing customer attrition and optimizing service operations. Additionally, real-life application is provided, demonstrating the applicability of the proposed optimization analysis in real-world situations to manage service capacity and associated costs effectively.