An Efficient Matching Algorithm for a High-Throughput, Low-Latency Data Switch

This paper focuses on two desired properties of cell-based switches for digital data networks: (1) data cells should not be detained inside the switch any longer than necessary (the work-conserving property) and (2) data cells that have been in the switch longer (older cells) should have priority over younger cells (the order-conserving property). A well-known, but expensive design of a workand order-conserving switch is the outputqueued switch. A different switch design is the speedup crossbar switch, in which input buffers are connected to output buffers through a crossbar that runs at a multiple (called the speedup) of the external cell rate. A matching algorithm determines which cells are forwarded through the crossbar at any given time. Previous work has proposed a matching algorithm called the lowest output occupancy first algorithm (LOOFA). It is known that a LOOFA switch with speedup at least 2 is work-conserving. We propose a refinement of LOOFA called the lowest output occupancy and timestamp first algorithm (LOOTFA). The main result of this paper is that a LOOTFA crossbar switch is workand order-conserving provided that the speedup is at least 3. We prove this result and consider some generalizations.