Karl Sigman is a Professor in the IEOR Department and Director of the Center for Applied Probability (CAP) at Columbia University.

Here are our completed papers:
1. Analysis of Join-the-Shortest-Queue Routing for Web Server Farms. Performance Evaluation, vol. 64, October 2007, pp. 1062-1081. IFIP 7.3 International Symposium on Computer Performance, Modeling, Measurements and Evaluation (Performance 2007), Cologne, Germany, October 2007. (with Varun Gupta, Mor Harchol-Balter and Karl Sigman) [PDF].
   • Simulation Results for JSQ Server Farms with Processor Sharing Servers. Supporting material for the paper above. (with Varun Gupta, Mor Harchol-Balter and Karl Sigman) [PDF].
2. Heavy-Traffic Limits for Nearly Deterministic Queues. Journal of Applied Probability, vol. 48, September 2011, pp. 657-678 (with Karl Sigman). [PDF].
3. Heavy-Traffic Limits for Nearly Deterministic Queues: Stationary Distributions. Queueing Systems, vol. 69, No. 2, 2011, pp. 145-173 (with Karl Sigman). [PDF].