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Optimization of an M/M/1/N feedback queue with retention of reneged customers

100%
KUMAR R., JAIN N. K., SOM B. K.
Operations Research and Decisions
|
2014
|
vol. 24
|
issue 3
45-58
EN
Customer impatience has become a threat to the business world. Firms employ various customer retention strategies to retain their impatient (or reneged) customers. Customer retention mechanisms may help to retain some or all impatient customers. Further, due to unsatisfactory service, customers may rejoin a queue immediately after departure. Such cases are referred to as feedback customers. Kumar and Sharma take this situation into account and study an M/M/1/N feedback queuing system with retention of reneged customers. They obtain only a steady-state solution for this model. In this paper, we extend the work of Kumar and Sharma by performing an economic analysis of the model. We develop a model for the costs incurred and perform the appropriate optimization. The optimum system capacity and optimum service rate are obtained.
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Program for Modelling Queuing Systems in Transport

63%
Dimitrov S.
Logistics and Transport
|
2012
|
vol. 15
85-90
EN
This paper presents an example application of a software program developed using the programming language VBA and designed for modelling queuing systems in the field of transport. The program enables users to quantitatively determine the indicators of the queuing systems. In order to show the program’s capabilities and how it can be used, two scenarios have been considered - modelling single-server and multi-server queuing systems of type M/M/1 and M/M/S, respectively, having a Poisson incoming flow of requests and exponentially distributed service times.
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