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Modelling and Performance Analysis of Call Centers with Retrials and Abandonments of Customers

Research Project

Project/Area Number 26730011
Research Category

Grant-in-Aid for Young Scientists (B)

Allocation TypeMulti-year Fund
Research Field Mathematical informatics
Research InstitutionUniversity of Tsukuba (2016)
Tokyo Institute of Technology (2014-2015)

Principal Investigator

PHUNG-DUC Tuan  筑波大学, システム情報系, 助教 (20633465)

Project Period (FY) 2014-04-01 – 2017-03-31
Project Status Completed (Fiscal Year 2016)
Budget Amount *help
¥3,770,000 (Direct Cost: ¥2,900,000、Indirect Cost: ¥870,000)
Fiscal Year 2016: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2015: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2014: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Keywordsコールセンター / 再試行 / 途中放棄 / 最適設計 / 顧客の挙動 / 待ち行列モデル / 安定条件 / 複数クラス / 再試行型待ち行列 / サービス科学 / レベル依存 / 準出生死滅過程 / 待ち行列 / 後処理
Outline of Final Research Achievements

In this research, we develops several queueing models for call centers taking into account the behaviors of customers and servers. In particular, we consider retrial phenomenon in call center in which a customer who cannot connect with an operator in a call center may call again in some random time. Furthermore, customers who wait for available operators may abandon receiving service if the waiting time is too long. Furthermore, operators may call to customers when there are not waiting calls. After a call completion, the operator may have to do some post-call activities, such as updating information about the completed call. By analyzing models with these features, we can obtain some performance measures which could be used in optimal design of call centers.

Report

(4 results)
  • 2016 Annual Research Report   Final Research Report ( PDF )
  • 2015 Research-status Report
  • 2014 Research-status Report
  • Research Products

    (53 results)

All 2017 2016 2015 2014 Other

All Int'l Joint Research (4 results) Journal Article (28 results) (of which Int'l Joint Research: 8 results,  Peer Reviewed: 28 results,  Acknowledgement Compliant: 25 results,  Open Access: 1 results) Presentation (17 results) (of which Int'l Joint Research: 14 results) Book (2 results) Remarks (2 results)

  • [Int'l Joint Research] Ghent大学(ベルギー)

    • Related Report
      2016 Annual Research Report
  • [Int'l Joint Research] Petrozavodsk State University(ロシア連邦)

    • Related Report
      2016 Annual Research Report
  • [Int'l Joint Research] Cornell University(米国)

    • Related Report
      2016 Annual Research Report
  • [Int'l Joint Research] 国立交通大学(台湾)

    • Related Report
      2016 Annual Research Report
  • [Journal Article] Exact Solutions for M/M/c/Setup Queues2017

    • Author(s)
      Phung-Duc, T.
    • Journal Title

      Telecommunication Systems

      Volume: 64 Issue: 2 Pages: 309-324

    • DOI

      10.1007/s11235-016-0177-z

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Single Server Retrial Queues with Setup Time2017

    • Author(s)
      Phung-Duc, T.
    • Journal Title

      Journal of Industrial and Management Optimization

      Volume: 印刷中 Issue: 3 Pages: 1329-1345

    • DOI

      10.3934/jimo.2016075

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Single Server Retrial Queues with Speed Scaling: Analysis and Performance Evaluation2017

    • Author(s)
      Phung-Duc, T., Rogiest, W. and Wittevrongel, S.
    • Journal Title

      Journal of Industrial and Management Optimization

      Volume: 印刷中 Issue: 4 Pages: 1927-1943

    • DOI

      10.3934/jimo.2017025

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] Stability Analysis of a Multiclass Retrial System with Classical Retrial Policy2017

    • Author(s)
      Morozov, E. and Phung-Duc, T.
    • Journal Title

      Performance Evaluation

      Volume: 印刷中 Pages: 15-26

    • DOI

      10.1016/j.peva.2017.03.003

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] Stability Condition for a Multiserver Retrial Queue with Interaction between Servers and Orbit2017

    • Author(s)
      Phung-Duc, T. and Dragieva, V.
    • Journal Title

      AIP Conference Proceedings

      Volume: 印刷中

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] Scaling Limits for Single Server Retrial Queues with Two-Way Communication2016

    • Author(s)
      Sakurai, H. and Phung-Duc, T.
    • Journal Title

      Annals of Operations Research

      Volume: 247 Issue: 1 Pages: 229-256

    • DOI

      10.1007/s10479-015-1874-9

    • Related Report
      2016 Annual Research Report 2015 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] A Law of Large Numbers for M/M/c/Delayoff-Setup Queues with Nonstationary Arrivals2016

    • Author(s)
      Pender, J. and Phung-Duc, T.
    • Journal Title

      Lecture Notes in Computer Science

      Volume: 9845 Pages: 253-268

    • DOI

      10.1007/978-3-319-43904-4_18

    • ISBN
      9783319439037, 9783319439044
    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] Energy-Aware Data Centers with s-Staggered Setup and Abandonment2016

    • Author(s)
      Phung-Duc, T. and Kawanishi, K.
    • Journal Title

      Lecture Notes in Computer Science

      Volume: 9845 Pages: 269-283

    • DOI

      10.1007/978-3-319-43904-4_19

    • ISBN
      9783319439037, 9783319439044
    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Design and Analysis of Deadline and Budget Constrained Autoscaling (DBCA) Algorithm for 5G Mobile Networks2016

    • Author(s)
      Phung-Duc, T., Ren, Y., Chen, J.-C. and Yu, Z.- W.
    • Journal Title

      Proceedings of 8th IEEE International Conference on Cloud Computing Technology and Science

      Volume: - Pages: 94-101

    • DOI

      10.1109/cloudcom.2016.0030

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] Dynamic Auto Scaling Algorithm (DASA) for 5G Mobile Networks2016

    • Author(s)
      Ren, Y., Phung-Duc, T., Yu, Z.- W. and Chen, J.-C.
    • Journal Title

      Proceedings of IEEE Globecom 2016

      Volume: -

    • DOI

      10.1109/glocom.2016.7841759

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] The Stability Condition of BMAP/M/∞ Queues2016

    • Author(s)
      Yajima, M., Phung-Duc, T. and Masuyama, H.
    • Journal Title

      Proceedings of The 11th International Conference on Queueing Theory and Network Applications

      Volume: - Pages: 1-6

    • DOI

      10.1145/3016032.3016046

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Impacts of Retrials on Power-Saving Policy in Data Centers2016

    • Author(s)
      Phung-Duc, T. and Kawanishi, K.
    • Journal Title

      Proceedings of The 11th International Conference on Queueing Theory and Network Applications

      Volume: - Pages: 1-4

    • DOI

      10.1145/3016032.3016047

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Two-Way Communication M/M/1 Retrial Queue with Server-Orbit Interaction2016

    • Author(s)
      Dragieva, V. and Phung-Duc, T.
    • Journal Title

      Proceedings of The 11th International Conference on Queueing Theory and Network Applications

      Volume: - Pages: 1-7

    • DOI

      10.1145/3016032.3016049

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Light-Traffic Analysis of Queues with Limited Heterogenous Retrials2016

    • Author(s)
      Fiems, D. and Phung-Duc, T.
    • Journal Title

      Proceedings of The 11th International Conference on Queueing Theory and Network Applications

      Volume: - Pages: 1-4

    • DOI

      10.1145/3016032.3016056

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Linear Birth/Immigration-Death Process with Binomial Catastrophes2016

    • Author(s)
      Kapodistria, S., Phung-Duc, T. and Resing, J.
    • Journal Title

      Probability in the Engineering and Informational Sciences

      Volume: 30 Issue: 1 Pages: 79-111

    • DOI

      10.1017/s0269964815000297

    • Related Report
      2015 Research-status Report
    • Peer Reviewed / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] Multiserver Queue with Guard Channel for Priority and Retrial Customers2016

    • Author(s)
      Kajiwara, K. and Phung-Duc, T.
    • Journal Title

      International Journal of Stochastic Analysis

      Volume: 2016 Pages: 1-23

    • DOI

      10.1155/2016/7168359

    • Related Report
      2015 Research-status Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] M/M/1/1 Retrial Queues with Setup Time2016

    • Author(s)
      Phung-Duc, T.
    • Journal Title

      Advances in Intelligent Systems and Computing

      Volume: 383 Pages: 93-104

    • DOI

      10.1007/978-3-319-22267-7_9

    • ISBN
      9783319222660, 9783319222677
    • Related Report
      2015 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Analysis of an M/M/1 Retrial Queue with Speed Scaling2016

    • Author(s)
      Phung-Duc, T. and Rogiest, W.
    • Journal Title

      Advances in Intelligent Systems and Computing

      Volume: 383 Pages: 113-124

    • DOI

      10.1007/978-3-319-22267-7_11

    • ISBN
      9783319222660, 9783319222677
    • Related Report
      2015 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Retrial Queue for Cloud Systems with Separated Processing and Storage Units2016

    • Author(s)
      Phung-Duc, T.
    • Journal Title

      Advances in Intelligent Systems and Computing

      Volume: 383 Pages: 143-151

    • DOI

      10.1007/978-3-319-22267-7_13

    • ISBN
      9783319222660, 9783319222677
    • Related Report
      2015 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Two-Way Communication Retrial Queues with Multiple Types of Outgoing Calls2015

    • Author(s)
      Sakurai, H. and Phung-Duc, T.
    • Journal Title

      Top

      Volume: 23 Issue: 2 Pages: 466-492

    • DOI

      10.1007/s11750-014-0349-5

    • Related Report
      2015 Research-status Report 2014 Research-status Report
    • Peer Reviewed
  • [Journal Article] Asymptotic Analysis for Markovian Queues with Two Types of Nonpersistent Retrial Customers2015

    • Author(s)
      Phung-Duc, T.
    • Journal Title

      Applied Mathematics and Computation

      Volume: 265 Pages: 768-784

    • DOI

      10.1016/j.amc.2015.05.133

    • Related Report
      2015 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Optimal Analysis for M/G/1 Retrial Queue with Two-Way Communication2015

    • Author(s)
      Aissani, A. and Phung-Duc, T.
    • Journal Title

      Lecture Notes in Computer Science

      Volume: 9081 Pages: 173-187

    • DOI

      10.1007/978-3-319-18579-8_1

    • ISBN
      9783319185781, 9783319185798
    • Related Report
      2015 Research-status Report
    • Peer Reviewed / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] Single-Server Systems with Power-Saving Modes2015

    • Author(s)
      Phung-Duc, T.
    • Journal Title

      Lecture Notes in Computer Science

      Volume: 9081 Pages: 158-172

    • DOI

      10.1007/978-3-319-18579-8_12

    • ISBN
      9783319185781, 9783319185798
    • Related Report
      2015 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Multiserver Queues with Finite Capacity and Setup Time2015

    • Author(s)
      Phung-Duc, T.
    • Journal Title

      Lecture Notes in Computer Science

      Volume: 9081 Pages: 173-187

    • DOI

      10.1007/978-3-319-18579-8_13

    • ISBN
      9783319185781, 9783319185798
    • Related Report
      2015 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Large-Scale Data Center with Setup Time and Impatient Customer2015

    • Author(s)
      Phung-Duc, T.
    • Journal Title

      Proceedings of the 31st UK Performance Engineering Workshop (UKPEW'2015)

      Volume: なし Pages: 47-60

    • Related Report
      2015 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Controllable Setup Queue for Energy-Aware Server2015

    • Author(s)
      Phung-Duc, T.
    • Journal Title

      Proceedings of the 31st UK Performance Engineering Workshop (UKPEW'2015)

      Volume: なし Pages: 96-109

    • Related Report
      2015 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Retrial queues with balanced call blending : analysis of single-server and multiserver model2014

    • Author(s)
      Tuan Phung-Duc, Wouter Rogiest, Yutaka Takahashi, Herwig Bruneel
    • Journal Title

      Annals of Operations Research

      Volume: 26 Issue: 2 Pages: 429-449

    • DOI

      10.1007/s10479-014-1598-2

    • Related Report
      2016 Annual Research Report 2015 Research-status Report 2014 Research-status Report
    • Peer Reviewed
  • [Journal Article] Performance analysis of call centers with abandonment, retrial and after-call work2014

    • Author(s)
      T. Phung-Duc and K. Kawanishi
    • Journal Title

      Performance Evaluation

      Volume: (in press, available on line) Pages: 43-62

    • DOI

      10.1016/j.peva.2014.03.001

    • Related Report
      2014 Research-status Report
    • Peer Reviewed
  • [Presentation] Multiserver Retrial Queue with Setup Time2016

    • Author(s)
      Phung-Duc, T. and Kawanishi, K.
    • Organizer
      11th International Workshop on Retrial Queues and Related Topics
    • Place of Presentation
      Amsterdam, The Netherlands
    • Year and Date
      2016-08-31
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Batch Arrival Single Server Queue with Variable Service Speed and Setup Time2016

    • Author(s)
      Yajima, M. and Phung-Duc, T.
    • Organizer
      Second European Conference on Queueing Theory
    • Place of Presentation
      Toulouse, France
    • Year and Date
      2016-06-18
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Stability Analysis of a Multiclass, Multiorbit System with Classical Retrials2016

    • Author(s)
      Morozov, E. and Phung-Duc, T.
    • Organizer
      Second European Conference on Queueing Theory
    • Place of Presentation
      Toulouse, France
    • Year and Date
      2016-06-18
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research
  • [Presentation] M/M/c Delay-Off Setup Queues with Nonstationary Arrivals: A Fluid Model Approach2016

    • Author(s)
      Pender, J. and Phung-Duc, T.
    • Organizer
      Second European Conference on Queueing Theory
    • Place of Presentation
      Toulouse, France
    • Year and Date
      2016-06-18
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Asymptotics in Priority Retrial Queues2016

    • Author(s)
      Walraevens, J. and Phung-Duc, T.
    • Organizer
      Second European Conference on Queueing Theory
    • Place of Presentation
      Toulouse, France
    • Year and Date
      2016-06-18
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Exact Solution for Service System with Fixed and Flexible Servers2016

    • Author(s)
      Phung-Duc, T.
    • Organizer
      Second European Conference on Queueing Theory
    • Place of Presentation
      Toulouse, France
    • Year and Date
      2016-06-18
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Large-Scale Data Center with Setup Time and Impatient Customer2015

    • Author(s)
      Phung-Duc, T.
    • Organizer
      31st UK Performance Engineering Workshop (UKPEW'2015)
    • Place of Presentation
      University of Leeds, UK
    • Year and Date
      2015-09-17
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research
  • [Presentation] Controllable Setup Queue for Energy-Aware Server2015

    • Author(s)
      Phung-Duc, T.
    • Organizer
      31st UK Performance Engineering Workshop (UKPEW'2015)
    • Place of Presentation
      University of Leeds, UK
    • Year and Date
      2015-09-17
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research
  • [Presentation] M/M/1/1 Retrial Queues with Setup Time2015

    • Author(s)
      Phung-Duc, T.
    • Organizer
      The 10th International Conference on Queueing Theory and Network Applications (QTNA2015)
    • Place of Presentation
      Hanoi, Vietnam
    • Year and Date
      2015-08-17
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research
  • [Presentation] Analysis of an M/M/1 Retrial Queue with Speed Scaling2015

    • Author(s)
      Phung-Duc, T. and Rogiest, W.
    • Organizer
      The 10th International Conference on Queueing Theory and Network Applications (QTNA2015)
    • Place of Presentation
      Hanoi, Vietnam
    • Year and Date
      2015-08-17
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research
  • [Presentation] Retrial Queue for Cloud Systems with Separated Processing and Storage Units2015

    • Author(s)
      Phung-Duc, T.
    • Organizer
      The 10th International Conference on Queueing Theory and Network Applications (QTNA2015)
    • Place of Presentation
      Hanoi, Vietnam
    • Year and Date
      2015-08-17
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research
  • [Presentation] Optimal Analysis for M/G/1 Retrial Queue with Two-Way Communication2015

    • Author(s)
      Aissani, A. and Phung-Duc, T.
    • Organizer
      22nd International Conference on Analytical & Stochastic Modelling Techniques & Applications (ASMTA'15)
    • Place of Presentation
      Albena, Bulgaria
    • Year and Date
      2015-05-26
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research
  • [Presentation] Single-Server Systems with Power-Saving Modes2015

    • Author(s)
      Phung-Duc, T.
    • Organizer
      22nd International Conference on Analytical & Stochastic Modelling Techniques & Applications (ASMTA'15)
    • Place of Presentation
      Albena, Bulgaria
    • Year and Date
      2015-05-26
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research
  • [Presentation] Multiserver Queues with Finite Capacity and Setup Time2015

    • Author(s)
      Phung-Duc, T.
    • Organizer
      22nd International Conference on Analytical & Stochastic Modelling Techniques & Applications (ASMTA'15)
    • Place of Presentation
      Albena, Bulgaria
    • Year and Date
      2015-05-26
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research
  • [Presentation] Server Farms with Batch Arrival and Staggered Setup2014

    • Author(s)
      Phung-Duc, T.,
    • Organizer
      Proceedings of The Fifth Symposium on Information and Communication Technology (SoICT)
    • Place of Presentation
      Hanoi
    • Year and Date
      2014-12-04 – 2014-12-05
    • Related Report
      2014 Research-status Report
  • [Presentation] Power Consumption Analysis for Data Centers with Independent Setup Times and Threshold Controls2014

    • Author(s)
      Hu, J. and Phung-Duc, T.
    • Organizer
      Proceedings of 12th International Conference of Numerical Analysis and Applied Mathematics (Symposium on Computational Methods for Stochastic Models)
    • Place of Presentation
      Rhodes, Greece,
    • Year and Date
      2014-09-22 – 2014-09-28
    • Related Report
      2014 Research-status Report
  • [Presentation] Impatient Customers in Power-Saving Data Centers2014

    • Author(s)
      Phung-Duc, T.,
    • Organizer
      Proceedings of 21th International Conference on Analytical and Stochastic Modeling Techniques and Applications
    • Place of Presentation
      Budapest
    • Year and Date
      2014-06-30 – 2014-07-02
    • Related Report
      2014 Research-status Report
  • [Book] Analytical and Stochastic Modelling Techniques and Applications2016

    • Author(s)
      Wittevrongel, S. and Phung-Duc, T. (編著)
    • Total Pages
      315
    • Publisher
      Springer
    • Related Report
      2016 Annual Research Report
  • [Book] Special Issue on Retrial Queues and Related Models, Annals of Operations Research2016

    • Author(s)
      Gomez-Corral, A. and Phung-Duc, T. (編集特集号)
    • Total Pages
      389
    • Publisher
      Springer
    • Related Report
      2016 Annual Research Report
  • [Remarks]

    • URL

      http://infoshako.sk.tsukuba.ac.jp/~tuan/

    • Related Report
      2016 Annual Research Report
  • [Remarks]

    • URL

      http://infoshako.sk.tsukuba.ac.jp/~tuan/

    • Related Report
      2015 Research-status Report

URL: 

Published: 2014-04-04   Modified: 2022-02-16  

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