Assignment Task:

Problem Statement
The telecommunication company XPhone has been receiving complaints from its subscribers regarding quality of service (QoS) along a highway connecting two major cities. The highway is covered by its cellular telephony network. The company needs to decide whether or not its system guarantees quality of service (QoS) in terms of percentages of dropped calls and blocked calls. This is the same cellular telephony network you have in your Assignment 1. Your task is to design the process model for the calls that are made along the highway.

Quality of Service (QoS)
• 
Percentage of blocked calls = number of blocked calls / total number of calls
 Percentage of dropped calls = number of blocked calls / total number of calls

System Descriptions
The two-way highway is 40 km long. The company uses 20 base stations, each covers a cell with 2 km diameter as shown in the figure below. There is no overlapping of cells. Where the reach of one base station ends, the reach of the next base station starts. Each base station has 10 channels so there are 10 channels available in each cell.

When a call is initiated in a cell, a channel in the cell will be allocated to the call. If no free channels are available in the base station of the cell, the call is blocked. When a subscriber making a call crosses a cell boundary before the end of the 40-km highway, the channel being used in the current cell must be released and a new channel in the new cell has to be acquired: this is called a Handover. If a channel is not available in the new base station during a handover the call is dropped. When a subscriber making a call crosses the end of the 40-km highway (either end), the call will be terminated and the channel being used in the cell is released.

Assumptions:
(a) Subscribers travelling along the highway in either direction may initiate a call from any of the 20 cells with a probability distribution X.
(b) The traffic volume in the two directions are the same. This means the two directions of cars travelling along the highway have equal probabilities.
(c) The position of the car initiating a call in a cell is uniformly distributed along the section of the highway covered by the base station.
(d) The speed of a car is a random variable with a probability distribution Y. A car maintains the same speed during a call.
(e) The duration of a call is a random variable with a probability distribution

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  • Uploaded By : Alex Cerry
  • Posted on : May 23rd, 2019

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