### Abstract

equilibrium and demonstrate by a numerical example that the social effciency can be lower than the effciency induced by a similar queueing system that serves customers on a first-come first-serve (FCFS) basis.

Original language | English |
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Place of Publication | Odense |

Publisher | Syddansk Universitet |

Number of pages | 22 |

Publication status | Published - 2017 |

Series | Discussion Papers on Business and Economics |
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Number | 3/2017 |

### Keywords

- Queueing
- Strategic arrival times to a queue
- Non-cooperative games

### Cite this

*Equilibrium Arrival Times to Queues: The Case of Last-come First Serve Preemptive Resume*. Odense: Syddansk Universitet. Discussion Papers on Business and Economics, No. 3/2017

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**Equilibrium Arrival Times to Queues : The Case of Last-come First Serve Preemptive Resume.** / Breinbjerg, Jesper; Østerdal, Lars Peter.

Research output: Working paper › Research

TY - UNPB

T1 - Equilibrium Arrival Times to Queues

T2 - The Case of Last-come First Serve Preemptive Resume

AU - Breinbjerg, Jesper

AU - Østerdal, Lars Peter

PY - 2017

Y1 - 2017

N2 - We consider a non-cooperative queueing environment where a finite number of customers independently choose when to arrive at a queueing system that opens at a given point in time and serves customers on a last-come first-serve preemptive-resume (LCFS-PR) basis. Each customer has a service time requirement which is identically and independently distributed according to some general probability distribution, and they want to complete service as early as possible while minimizing the time spent in the queue. In this setting, we establish the existence of an arrival time strategy that constitutes a symmetric (mixed) Nash equilibrium, and show that there is at most one symmetric equilibrium. We provide a numerical method to compute thisequilibrium and demonstrate by a numerical example that the social effciency can be lower than the effciency induced by a similar queueing system that serves customers on a first-come first-serve (FCFS) basis.

AB - We consider a non-cooperative queueing environment where a finite number of customers independently choose when to arrive at a queueing system that opens at a given point in time and serves customers on a last-come first-serve preemptive-resume (LCFS-PR) basis. Each customer has a service time requirement which is identically and independently distributed according to some general probability distribution, and they want to complete service as early as possible while minimizing the time spent in the queue. In this setting, we establish the existence of an arrival time strategy that constitutes a symmetric (mixed) Nash equilibrium, and show that there is at most one symmetric equilibrium. We provide a numerical method to compute thisequilibrium and demonstrate by a numerical example that the social effciency can be lower than the effciency induced by a similar queueing system that serves customers on a first-come first-serve (FCFS) basis.

KW - Queueing

KW - Strategic arrival times to a queue

KW - Non-cooperative games

KW - Queueing

KW - Strategic arrival times to a queue

KW - Non-cooperative games

M3 - Working paper

T3 - Discussion Papers on Business and Economics

BT - Equilibrium Arrival Times to Queues

PB - Syddansk Universitet

CY - Odense

ER -