Equilibrium behaviour and social optimization in Markovian queues with impatient customers and variant of working vacations

2017 ◽  
Vol 51 (3) ◽  
pp. 685-707 ◽  
Author(s):  
Gopinath Panda ◽  
Veena Goswami ◽  
Abhijit Datta Banik
Keyword(s):  
Impatient Customers ◽  
Markovian Queues ◽  
Working Vacations

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 ◽  
Feedback Queue

scholarly journals Phase-Type Arrivals and Impatient Customers in Multiserver Queue with Multiple Working Vacations

2016 ◽  
Vol 2016 ◽  
pp. 1-17 ◽  
Author(s):  
Cosmika Goswami ◽  
N. Selvaraju
Keyword(s):  
Blocking Probability ◽  
Death Process ◽  
Impatient Customers ◽  
Working Vacation ◽  
Multiple Working Vacations ◽  
Phase Type ◽  
Working Vacations ◽  
The One ◽  
Vacation Period ◽  
Stationary Probability Vector

We consider a PH/M/c queue with multiple working vacations where the customers waiting in queue for service are impatient. The working vacation policy is the one in which the servers serve at a lower rate during the vacation period rather than completely ceasing the service. Customer’s impatience is due to its arrival during the period where all the servers are in working vacations and the arriving customer has to join the queue. We formulate the system as a nonhomogeneous quasi-birth-death process and use finite truncation method to find the stationary probability vector. Various performance measures like the average number of busy servers in the system during a vacation as well as during a nonvacation period, server availability, blocking probability, and average number of lost customers are given. Numerical examples are provided to illustrate the effects of various parameters and interarrival distributions on system performance.

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 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
Sign in / Sign up

Export Citation Format

Share Document