Commonalities in reengineered business processes: models and issues
Management Science
Commissioned Paper: Telephone Call Centers: Tutorial, Review, and Research Prospects
Manufacturing & Service Operations Management
Throughput Maximization for Tandem Lines with Two Stations and Flexible Servers
Operations Research
On the Introduction of an Agile, Temporary Workforce into a Tandem Queueing System
Queueing Systems: Theory and Applications
Partial Pooling in Tandem Lines with Cooperation and Blocking
Queueing Systems: Theory and Applications
Dynamic assignment of dedicated and flexible servers in tandem lines
Probability in the Engineering and Informational Sciences
Queueing Systems: Theory and Applications
Optimal assignment of servers to tasks when collaboration is inefficient
Queueing Systems: Theory and Applications
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We consider tandem lines with finite buffers and flexible, heterogeneous servers that are synergistic in that they work more effectively in teams than on their own. Our objective is to determine how the servers should be assigned dynamically to tasks in order to maximize the long-run average throughput. In particular, we investigate when it is better to take advantage of synergy among servers, rather than exploiting the servers' special skills, to achieve the best possible system throughput. We show that when there is no trade-off between server synergy and servers' special skills (because the servers are generalists who are equally skilled at all tasks), the optimal policy has servers working in teams of two or more at all times. Moreover, for Markovian systems with two stations and two servers, we provide a complete characterization of the optimal policy and show that, depending on how well the servers work together, the optimal policy either takes full advantage of servers' special skills, or full advantage of server synergy (and hence there is no middle ground in this case). Finally, for a class of larger Markovian systems, we provide sufficient conditions that guarantee that the optimal policy should take full advantage of server synergy at all times.