Practical scheduling for call center operations
A practical spreadsheet-based scheduling method is developed to determine the optimal allocation of service agents to candidate tour types and start times in an inbound call center. A stationary Markovian queueing model with customer abandonment is employed to determine required staffing levels for...
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| Published in: | Omega (Oxford) Vol. 39; no. 5; pp. 550 - 557 |
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| Format: | Journal Article |
| Language: | English |
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Elsevier Ltd
01.10.2011
Elsevier Pergamon Press Inc |
| Series: | Omega |
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| ISSN: | 0305-0483, 1873-5274 |
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| Abstract | A practical spreadsheet-based scheduling method is developed to determine the optimal allocation of service agents to candidate tour types and start times in an inbound call center. A stationary Markovian queueing model with customer abandonment is employed to determine required staffing levels for a sequence of time intervals with varying call volumes, handling times, and relative agent availabilities. These staffing requirements populate a quadratic programming model for determining the distribution of agent tours that will maximize the fraction of offered calls beginning service within a target response time, subject to side constraints on tour type quantities. The optimal distribution is scaled to reflect the total number of scheduled agents, and a near-optimal integer solution is derived using rounding thresholds found by successive one-dimensional searches. This novel approach has been successfully implemented in large service centers at Qwest Communications and could easily be adapted to other operational environments. |
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| AbstractList | A practical spreadsheet-based scheduling method is developed to determine the optimal allocation of service agents to candidate tour types and start times in an inbound call center. A stationary Markovian queueing model with customer abandonment is employed to determine required staffing levels for a sequence of time intervals with varying call volumes, handling times, and relative agent availabilities. These staffing requirements populate a quadratic programming model for determining the distribution of agent tours that will maximize the fraction of offered calls beginning service within a target response time, subject to side constraints on tour type quantities. The optimal distribution is scaled to reflect the total number of scheduled agents, and a near-optimal integer solution is derived using rounding thresholds found by successive one-dimensional searches. This novel approach has been successfully implemented in large service centers at Qwest Communications and could easily be adapted to other operational environments. A practical spreadsheet-based scheduling method is developed to determine the optimal allocation of service agents to candidate tour types and start times in an inbound call center. A stationary Markovian queueing model with customer abandonment is employed to determine required staffing levels for a sequence of time intervals with varying call volumes, handling times, and relative agent availabilities. These staffing requirements populate a quadratic programming model for determining the distribution of agent tours that will maximize the fraction of offered calls beginning service within a target response time, subject to side constraints on tour type quantities. The optimal distribution is scaled to reflect the total number of scheduled agents, and a near-optimal integer solution is derived using rounding thresholds found by successive one-dimensional searches. This novel approach has been successfully implemented in large service centers at Qwest Communications and could easily be adapted to other operational environments. [PUBLICATION ABSTRACT] |
| Author | Dietz, Dennis C. |
| Author_xml | – sequence: 1 givenname: Dennis C. surname: Dietz fullname: Dietz, Dennis C. email: dennis.dietz@qwest.com organization: Qwest Communications International Inc., 1855 South Flatiron Court, Boulder, CO 80301, USA |
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| Cites_doi | 10.1287/mnsc.20.4.708 10.1287/mnsc.1070.0821 10.1016/S0377-2217(01)00169-2 10.1287/inte.19.6.1 10.1287/mnsc.41.4.595 10.1287/mnsc.22.12.1372 10.1198/016214504000001808 10.1080/07408170802322986 10.1287/opre.51.2.255.12787 10.1111/j.1937-5956.2007.tb00164.x 10.1016/0305-0483(81)90051-7 10.1287/inte.24.1.6 10.1155/S1173912602000032 10.1287/opre.49.4.549.11228 10.1080/07408170304398 10.1287/msom.5.2.79.16071 10.1002/nav.20243 10.1057/jors.1969.25 10.1287/opre.22.4.808 10.1287/msom.4.3.208.7753 10.1111/j.1540-5915.1976.tb00706.x 10.1007/978-3-540-29860-1_2 10.1287/opre.32.2.229 10.1155/JAMDS/2006/53928 10.1287/opre.35.4.504 |
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| Keywords | Queueing Operations management Scheduling Quadratic programming Availability Volatility Clientele Rounding error Staff management Markov model Modeling Stationary condition Production management Spreadsheet Response time Optimal allocation Time interval Call centres Queue Tour |
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| SubjectTerms | Applied sciences Call centers Callcenter Exact sciences and technology Firm modelling Markov analysis Mathematical programming Operational research and scientific management Operational research. Management science Operations management Operations Research Quadratic programming Queueing Queueing Quadratic programming Scheduling Operations management Queuing theory Queuing theory. Traffic theory Reliability theory. Replacement problems Resource allocation Scheduling Scheduling-Verfahren Studies Warteschlangentheorie Workforce planning |
| Title | Practical scheduling for call center operations |
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