Review: N. U. Prabhu, Queues and Inventories

Inventories, Water Storage and Queues

Ajay Prabhu Gaurav

Getting released from the wired world comes at a cost. Mobile devices have constraints like limited power and memory, low network bandwidth and high disconnection rates which keep them from transmitting or receiving data all the time. This signals the need to adopt a futuristic, context-aware approach in data exchanges. Therefore we need to employ some intelligent data management techniques (in...

THE GAN–GROSS–PRASAD CONJECTURE FOR U(n)×U(n)

We prove the Gan–Gross–Prasad conjecture for U(n)×U(n) under some local conditions using a relative trace formula. We deduce some new cases of the Gan–Gross–Prasad conjecture for U(n+1)×U(n) from the case of U(n)×U(n).

Inventories with Multiple Supply Sources and Networks of Queues with Overflow Bypasses

Consider an inventory system with multiple supply sources and Poisson demand. The replenishment leadtimes from each source are stochastic, representing congestion and disruption. We develop performance evaluation and optimization tools for a family of reasonable order policies. These policies take into account real-time supply information, which can be obtained through tracking technologies suc...

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