TY - GEN

T1 - A nearly-optimal index rule for scheduling of users with abandonment

AU - Ayesta, Urtzi

AU - Jacko, Peter

AU - Novak, Vladimir

N1 - ©2011 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE." "This material is presented to ensure timely dissemination of scholarly and technical work. Copyright and all rights therein are retained by authors or by other copyright holders. All persons copying this information are expected to adhere to the terms and constraints invoked by each author's copyright. In most cases, these works may not be reposted without the explicit permission of the copyright holder.

PY - 2011/4

Y1 - 2011/4

N2 - We analyze a comprehensive model for multi-class job scheduling accounting for user abandonment, with the objective of minimizing the total discounted or time-average sum of linear holding costs and abandonment penalties. We assume geometric service times and Bernoulli abandonment probabilities. We solve analytically the case in which there are 1 or 2 users in the system to obtain an optimal index rule. For the case with more users we use recent advances from the restless bandits literature to obtain a new simple index rule, denoted by AJN, which we propose to use also in the system with arrivals. In the problem without abandonment, the proposed rule recovers the cμ-rule which is well-known to be optimal both without and with arrivals. Under certain conditions, our rule is equivalent to the cμ/θ-rule, which was recently proposed and shown to be asymptotically optimal in a multi-server system with overload conditions. We present results of an extensive computational study that suggest that our rule is almost always superior or equivalent to other rules proposed in the literature, and is often optimal.

AB - We analyze a comprehensive model for multi-class job scheduling accounting for user abandonment, with the objective of minimizing the total discounted or time-average sum of linear holding costs and abandonment penalties. We assume geometric service times and Bernoulli abandonment probabilities. We solve analytically the case in which there are 1 or 2 users in the system to obtain an optimal index rule. For the case with more users we use recent advances from the restless bandits literature to obtain a new simple index rule, denoted by AJN, which we propose to use also in the system with arrivals. In the problem without abandonment, the proposed rule recovers the cμ-rule which is well-known to be optimal both without and with arrivals. Under certain conditions, our rule is equivalent to the cμ/θ-rule, which was recently proposed and shown to be asymptotically optimal in a multi-server system with overload conditions. We present results of an extensive computational study that suggest that our rule is almost always superior or equivalent to other rules proposed in the literature, and is often optimal.

U2 - 10.1109/INFCOM.2011.5935122

DO - 10.1109/INFCOM.2011.5935122

M3 - Conference contribution/Paper

SN - 9781424499199

SP - 2849

EP - 2857

BT - INFOCOM, 2011 Proceedings IEEE

PB - IEEE

T2 - IEEE INFOCOM 2011 - IEEE Conference on Computer Communications

Y2 - 10 April 2011 through 15 April 2011

ER -