slotted aloha with poisson arrival rate

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slotted aloha with poisson arrival rate

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Pure Aloha vs. Slotted Aloha with Poisson Arrival Rate

In network communication protocols like Aloha, understanding the difference between Pure Aloha and Slotted Aloha helps optimize transmission efficiency, especially under Poisson arrival rate assumptions where packet arrivals follow a random distribution.

Pure Aloha operates in a completely unsynchronized manner. Stations transmit packets whenever they have data, leading to potential collisions if two or more stations transmit simultaneously or within overlapping time windows. The vulnerability period for collisions is twice the packet transmission time, making Pure Aloha less efficient under high traffic conditions.

Slotted Aloha, an improved version, introduces synchronized time slots where transmissions can only begin at slot boundaries. This reduces the vulnerability period to just one slot, significantly improving throughput. Under Poisson arrival rate, the probability of successful transmission increases since packets are less likely to collide when constrained to fixed intervals.

Diagram Depiction (Conceptual Description)

Pure Aloha Diagram X-axis (Time): Continuous, unsynchronized. Packets: Randomly placed along the timeline. Collisions: Overlapping packets result in retransmissions.

Slotted Aloha Diagram X-axis (Time): Divided into fixed-duration slots. Packets: Aligned to start at slot boundaries. Collisions: Only occur if multiple packets arrive in the same slot.

The Poisson arrival rate model helps analyze performance by quantifying the probability of packet arrivals per slot (Slotted Aloha) or any given time (Pure Aloha), highlighting Slotted Aloha’s superior efficiency in reducing collisions and maximizing channel utilization.