scholarly journals Equilibrium balking strategies in Markovian queues with working vacations

2013 ◽  
Vol 37 (16-17) ◽  
pp. 8264-8282 ◽  
Author(s):  
Feng Zhang ◽  
Jinting Wang ◽  
Bin Liu
Keyword(s):  
Markovian Queues ◽  
Working Vacations

scholarly journals Equilibrium and Optimal Strategies in M/M/1 Queues with Working Vacations and Vacation Interruptions

2016 ◽  
Vol 2016 ◽  
pp. 1-10 ◽  
Author(s):  
Ruiling Tian ◽  
Linmin Hu ◽  
Xijun Wu
Keyword(s):  
Optimal Strategies ◽  
Cost Structure ◽  
Single Server ◽  
Equilibrium Strategies ◽  
Markovian Queues ◽  
Multiple Working Vacations ◽  
Working Vacations ◽  
System States ◽  
Partially Observable ◽  
Stationary Behavior

We consider the customers equilibrium and socially optimal joining-balking behavior in single-server Markovian queues with multiple working vacations and vacation interruptions. Arriving customers decide whether to join the system or balk, based on a linear reward-cost structure that incorporates their desire for service, as well as their unwillingness for waiting. We consider that the system states are observable, partially observable, and unobservable, respectively. For these cases, we first analyze the stationary behavior of the system and get the equilibrium strategies of the customers and compare them to socially optimal balking strategies numerically.

scholarly journals Optimum cost analysis for an Geo/Geo/c/N feedback queue under synchronous working vacations and impatient customers

2019 ◽  
Vol 10 (2) ◽  
pp. 211-226
Author(s):  
Lahcene Yahiaoui ◽  
◽  
Amina Angelika Bouchentouf ◽  
Mokhtar Kadi ◽  
◽  
...  
Keyword(s):  
Cost Analysis ◽  
Impatient Customers ◽  
Working Vacations ◽  
Optimum Cost ◽  
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