A cell-phone carrier is allocated 642 radio frequencies to operate in a city with a hexagon pattern cell design. 42 of the frequencies is reserved for control channel and each phone call uses 2 frequencies per call (1 for transmitting and 1 for receiving). In an advance mobile phone service, use the frequencies distribution to answer the following question. if the distance between centers of adjacent cells is 2km and the minimum distance between centers of cells with the same cochannel is 7km. Calculate the area of each cell.

A cell-phone carrier is allocated 642 radio frequencies to operate in a city with a hexagon pattern cell design. 42 of the frequencies is reserved for control channel and each phone call uses 2 frequencies per call (1 for transmitting and 1 for receiving). In an advance mobile phone service, use the frequencies distribution to answer the following question. if the distance between centers of adjacent cells is 2km and the minimum distance between centers of cells with the same cochannel is 7km. Calculate the area of each cell.

Operations Research : Applications and Algorithms

4th Edition

ISBN:9780534380588

Author:Wayne L. Winston

Publisher:Wayne L. Winston

Chapter20: Queuing Theory

Section20.11: The M/g/s/gd/s/∞ System (blocked Customers Cleared)

Problem 4P

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A cell-phone carrier is allocated 642 radio frequencies to operate in a city with a hexagon pattern cell design. 42 of the frequencies is reserved for control channel and each phone call uses 2 frequencies per call (1 for transmitting and 1 for receiving). In an advance mobile phone service, use the frequencies distribution to answer the following question. If the distance between centers of adjacent cells is 2km and the minimum distance between centers of cells with the same cochannel is 7km, Calculate the area of each cell. Answer: 165,95,55
Data communication systems. The solution time of the problem is 10 minutes. In an FDMA-based multiple access system, each user is assigned an 80 kHz channel for full-duplex communication. There are 1000 channels in total in the system.Depending on the information given above, if the initial frequency of the frequency spectrum used by the FMDA system in one direction is 1000 Mhz, the carrier frequency of the channel belonging to the first user is 1.000.040 KHz.A) False B) True
A city has a population of 3 million people that are evenly distributed over an area of 1000 square km. It is given that a percentage of the population is subscribed to a cellular system. Assume that the cellular system is an Erlang B system with a total band of 14 MHz and full duplex channel bandwidth of 40 kHz and covers the city using hexagonal cells with radius 2 km and a cluster size of 7 cells. Assume that each user makes 1 call every 2 hours with average call duration of 1 minute and the desired probability of call blocking is 0.005. Assume Traffic Intensity per Cell is 36 Erlangs. Find: The total number of cells in the system The number of channels per cell The total number of channels in the system Maximum carried traffic for the whole system The total number of users who can use the system Percentage of Population of the city who can subscribe to the cellular service The theoretical maximum number of users who can be served at any time.
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Q1 The main idea behind the Global System Mobile (GSM) cellular radio system is frequency reuse. Due to the increasing demand in the cellular radio, there is a need to increase the capacity of the system. Consider a case where initially, a cluster size of N=7 hexagonal cells is employed by the network planning engineer in Batu Pahat in year 2000. The area is covered by 6 clusters to support full coverage in Batu Pahat area. The allocated spectrum is 35 MHz and the traffic intensity of each subscriber is estimated to be 0.1 Erlang. (a) (b) Calculate the number of users that can communicate simultaneously in Batu Pahat area. Given a Grade of Service (GOS) of 2%, calculate the number of users that can be supported in the Batu Pahat area.
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Frieda Millstone and her family live in Roanoke, Virginia, and they are planning an auto vacation across Virginia, their ultimate destination being Washington, DC. The family has developed the following network of possible routes and cities to visit on their trip:The time, in hours, between cities (which is affected by the type of road and the number of intermediate towns) is shown along each branch. Determine the shortest route that the Millstone family can travel from Roanoke to Washington, DC.
A given ad hoc network consists of 100 nodes, and the mobility of the nodes is such that every second, two existing radio connections are broken, while two new radio links are established. Assuming each node is connected to exactly four adjacent nodes, find the total number of communications links in the network.
Define traffic intensity in two brief ways, and then use the definition to determine the traffic intensity in the following cases: a- a line is occupied by a subscriber for 60 minutes in an hour. b- a subscriber line is in use for 6 minutes out of an hour. c- an average of one call in progress during an hour. d- a channel is occupied for half an hour in one hour time interval. e- a channel is occupied for one hour during a busy hour. f- an average of 90 calls, each of 2.0 minutes during a busy hour.
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A six-story office building has 10 adjacent offices per floor. Each office contains a wall socket for a terminal in the front wall, so the sockets form a rectangular grid in the vertical plane, with a separation of 3 m between sockets, both horizontally and vertically. Assuming that it is feasible to run a straight cable between any pair of sockets, horizontally, vertically, or diagonally, how many meters of cable are needed to connect all sockets using a star configuration with a single router in the middle?