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CALL CENTERS (CENTRES) - Faculty of Industrial Engineering and ...

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Keywords: Performance modeling, Automatic call distributors, Operator services staffing, Heterogeneous<br />

positions, Telephony industry, Multi-purpose operator positions, Automatic call distributor,<br />

ACD, Toll <strong>and</strong> assist calls, Directory-assistance calls, Classical Erlang-type queueing<br />

models, Expected waiting time, Average operator occupancy, Average occupancies, Simulation<br />

results<br />

(Appears also in Section IX.)<br />

43. Andrews, Bruce H. <strong>and</strong> Shawn M. Cunningham. L.L. Bean improves call-center forecasting,<br />

Interfaces, 25 (6), 1995, 1–13.<br />

Abstract. Two forecasting models are developed <strong>and</strong> implemented for use at L.L. Bean Inc.,<br />

a widely known retailer <strong>of</strong> high-quality outdoor goods <strong>and</strong> apparel. The models forecast calls<br />

incoming to L.L. Bean’s call center so that efficient staffing schedules for telephone agents can be<br />

produced two weeks in advance. The ARIMA/transfer function methodology is used to model<br />

these time series data since they exhibit seasonal patterns but are strongly influenced by independent<br />

variables, including holiday <strong>and</strong> advertising interventions. The improved precision <strong>of</strong><br />

the models is estimated to save $300,000 annually through enhanced scheduling efficiency.<br />

Keywords: Call center forecasting, L.L. Bean, Forecasting models, Retailer, Telephone agents,<br />

Staffing schedules, ARIMA transfer function methodology, Time series data, Seasonal patterns,<br />

Holiday, Advertising interventions<br />

(Appears also in Section II.)<br />

44. Borst, S.C. Optimal probabilistic allocation <strong>of</strong> customer types to servers. Proceedings <strong>of</strong> the<br />

Joint International Conference on Measurement <strong>and</strong> Modeling <strong>of</strong> Computer Systems (SIGMET-<br />

RICS95). Ottawa, ON, Canada, 1995, 116–125.<br />

Abstract. The model under consideration consists <strong>of</strong> n customer types attended by m parallel<br />

non-identical servers. Customers are allocated to the servers in a probabilistic manner; upon<br />

arrival customers are sent to one <strong>of</strong> the servers according to an m ∗ n matrix <strong>of</strong> routing probabilities.<br />

We consider the problem <strong>of</strong> finding an allocation that minimizes a weighted sum <strong>of</strong> the<br />

mean waiting times. We expose the structure <strong>of</strong> an optimal allocation <strong>and</strong> describe for some<br />

special cases in detail how the structure may be exploited in actually determining an optimal<br />

allocation.<br />

Keywords: Probabilistic allocation, Customer types, Servers, Non-identical servers, Routing<br />

probabilities, Parallel servers, Distributed computer systems, Communication networks, Global<br />

scheduling<br />

45. Thompson, G.M. Improved implicit optimal modeling <strong>of</strong> the labor shift scheduling problem,<br />

Management Science, 41 (4), 1995, 595–607.<br />

Abstract. This paper presents an integer programming model for developing optimal shift<br />

schedules while allowing extensive flexibility in terms <strong>of</strong> alternate shift starting times, shift<br />

lengths, <strong>and</strong> break placement. The model combines the work <strong>of</strong> Moondra (1976) <strong>and</strong> Bechtold<br />

<strong>and</strong> Jacobs (1990) by implicitly matching meal breaks to implicitly represented shifts. Moreover,<br />

17

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