1981. Performance Analysis and Optimization of a Hybrid Finite Markovian Queue with Retrial and Balking
Invited abstract in session TD-54: Stochastic models in service operations, stream Stochastic modelling.
Tuesday, 14:30-16:00Room: Liberty 1.08
Authors (first author is the speaker)
| 1. | Shobha Rani
|
| Department of Management Science, Indian Institute of Technology Kanpur | |
| 2. | Raghu Sengupta
|
| Industrial and Management Engineering, Indian Institute of Technology Kanpur, INDIA |
Abstract
In classical Markovian retrial queues, the completion of a service does not immediately trigger the commencement of a new service. Instead, customers who do not receive service on their first attempt rejoin the standard queue after a random amount of time. This paper examines an M/M/1/K queueing model incorporating both retrial and balking with a limited orbit and a finite queue capacity. If the server is occupied upon a customer's arrival, the customer may choose to balk the system. The model is formulated using the birth–death process, where transition rates define the governing equations. A recursive approach is employed to analyze the steady-state queue size distribution and various system performance metrics. The balking rate is considered as a decision variable, and we analyzed both the Nash equilibrium and the socially optimal balking rate under a cost model. Additionally, the total cost function is optimized to determine the cost-effective operational strategy.
Keywords
- Queuing Systems
- Stochastic Models
- Simulation
Status: accepted
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