Title
TECHNICAL NOTE---Queueing Systems with Synergistic Servers
Abstract
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.
Year
DOI
Venue
2011
10.1287/opre.1110.0934
Operations Research
Keywords
Field
DocType
markovian system,queueing systems,synergistic servers,full advantage,possible system throughput,long-run average throughput,special skill,server synergy,heterogeneous server,complete characterization,larger markovian system,optimal policy,production scheduling,queues,tandem,applications
Technical note,Markov process,Computer science,Queue,Server,Scheduling (production processes),Queueing theory,Throughput,Operations management,Distributed computing
Journal
Volume
Issue
ISSN
59
3
0030-364X
Citations 
PageRank 
References 
7
0.57
8
Authors
3
Name
Order
Citations
PageRank
Sigrún Andradóttir154855.09
Hayriye Ayhan221726.52
Douglas G. Down337037.04