Time-dependent performance evaluation of tire repair emergency systems in the agricultural stage of sugarcane mills

•SBC approach for the hypercube queuing model is developed.•Time-dependent arrival rates in regions of tire repair emergency systems.•Analytical solution to analyze time-dependent spatially distributed queues.•A sensitivity analysis is conducted in the agricultural stage of sugarcane mills.•The prop...

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Bibliographic Details
Published in:Computers and electronics in agriculture 2022-02, Vol.193, p.106701, Article 106701
Main Authors: Gualberto, Carolina Reis, Rodrigues, Lásara Fabrícia, Morabito, Reinaldo, de Freitas Almeida, João Flávio
Format: Article
Language:English
Subjects:
Emergencies
Hypercube queuing model
Hypercubes
Mills
Performance evaluation
Policies
Queueing
Repair
Stationary backlog-carryover
Sugar industry
Sugarcane
Sugarcane mills
Time dependence
Time-dependent performance evaluation
Tire repair emergency system
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Summary:•SBC approach for the hypercube queuing model is developed.•Time-dependent arrival rates in regions of tire repair emergency systems.•Analytical solution to analyze time-dependent spatially distributed queues.•A sensitivity analysis is conducted in the agricultural stage of sugarcane mills.•The proposed approach is capable of analyzing emergency service systems. This study presents a stationary backlog-carryover (SBC) approach to deal with hypercube queuing models with time-dependent user arrival rates for the analysis of emergency agricultural systems. It is motivated by practical situations faced by the agricultural stage of sugarcane mills. Due to the frequent changes in the locations of harvest fronts, the emergency calls for tire repair also change their locations over time, and managers should determine the appropriate number and locations of servers and their dispatch policies. This approach is applied to a case study conducted in the tire repair emergency services of a sugarcane mill. A simulation model is also developed to crosscheck the validity of this approach. This work aims at analyzing and highlighting the importance of considering time-dependent changes in arrival rates at different regions of the system. The findings suggest that this approach is flexible enough to deal with alternative dispatch policies, changes in the number of servers, and the increase in server utilization rates.
ISSN:0168-1699
1872-7107
DOI:10.1016/j.compag.2022.106701