Simulation & Modeling about Telephone System
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This document provides an overview of how telephone systems work through a 10 step mathematical problem and solution. It begins with introductions to telephones and their history. It then presents a telephone system state with lines and links, current calls in progress, and upcoming calls. The 10 step mathematical solution walks through changing system states as calls are processed, completed, or blocked based on available lines and links. It demonstrates how the telephone network dynamically routes calls over time.
Simulation & Modeling about Telephone System
- 3. o Introduction o About Telephone o Short History o How Telephone System works? o Mathematical Problem o Mathematical Solution o Part - 1 o Mathematical Solution o Part - 2 o Ending… Contents Telephone System
- 4. Introduction In other words we can say :- A telephone converts sound, typically &most efficiently the human voice, into electronic signals that are transmitted via cables & other communication channels to another telephone which reproduces the sound to the receiving user. What is Telephone? Device that coverts sound & electrical waves into audible relays & is used for communication. The telephone consists of 2 essential parts, a microphone & a speaker. This allows the user to speak into the device & also hear transmissions from the other user.
- 5. History of the Telephone System.
- 6. How do telephone systems work? Your voice generates sound energy when the vocal chords in your throat vibrate. The sound energy travels through the air into the microphone & makes the diaphragm inside vibrate. The diaphragm converts the energy from your voice into electricity & this electrical energy flows down the phone line. About Telephone System.
- 7. Alexander Graham Bell United Kingdom Born: March 3, 1847 Died: August 2, 1922 Education: University College London (1868-1870) He made the 1st call on March 10, 1876
- 8. Mabel Hubbard was Bell's girlfriend who he later marries on 1877.
- 9. How Telephone System works?
- 11. State : Problem 1 2 3 4 5 6 7 8 Lines 1 1 0 1 0 1 0 0 Links max 4 in use 2 clock 1000 Call In Progress From To End 1 4 1023 2 6 1055 Processed Completed Blocked Busy 100 60 20 20 Next Call From To Length 3 6 30 Arrival time 1035 Next call to Arrive From To Length Arrival Time 3 6 30 1035 3 7 25 1062 1 8 20 1075 Problem
- 12. System state : 1 1 2 3 4 5 6 7 8 Lines 0 1 0 0 0 1 0 0 Links max 4 in use 1 clock 1023 Call In Progress From To End 2 6 1055 Processed Completed Blocked Busy 101 61 20 20 Next Call From To Length 3 6 30 Arrival time 1035 Next call to Arrive From To Length Arrival Time 3 6 30 1035 3 7 25 1062 1 8 20 1075 System state : 2 1 2 3 4 5 6 7 8 Lines 0 1 0 0 0 1 0 0 Links max 4 in use 1 clock 1035 Call In Progress From To End 2 6 1055 Processed Completed Blocked Busy 102 61 20 21 Next Call From To Length 3 7 25 Arrival time 1062
- 13. System state : 3 1 2 3 4 5 6 7 8 Lines 0 0 0 0 0 0 0 0 Links max 4 in use 0 clock 1055 Call In Progress From To End Processed Completed Blocked Busy 103 62 20 21 Next Call From To Length 3 7 25 Arrival time 1062 Next call to Arrive From To Length Arrival Time 1 8 20 1075 System state : 4 1 2 3 4 5 6 7 8 Lines 0 0 1 0 0 1 0 0 Links max 4 in use 1 clock 1055 Call In Progress From To End 3 6 1085 Processed Completed Blocked Busy 103 62 20 21 Next Call From To Length 3 7 25 Arrival time 1062
- 14. System state : 5 1 2 3 4 5 6 7 8 Lines 0 0 1 0 0 1 0 0 Links max 4 in use 1 clock 1062 Call In Progress From To End 3 6 1085 Processed Completed Blocked Busy 104 62 20 22 Next Call From To Length 1 8 20 Arrival time 1075 Next call to Arrive From To Length Arrival Time 1 8 20 1075 System state : 6 1 2 3 4 5 6 7 8 Lines 1 0 1 0 0 1 0 1 Links max 4 in use 2 clock 1075 Call In Progress From To End 3 6 1085 1 8 1095 Processed Completed Blocked Busy 104 62 20 22 Next Call From To Length Arrival time
- 15. System state : 7 1 2 3 4 5 6 7 8 Lines 1 0 0 0 0 0 0 1 Links max 4 in use 1 clock 1085 Call In Progress From To End 1 8 1095 Processed Completed Blocked Busy 105 63 20 22 Next Call From To Length Arrival time Next call to Arrive From To Length Arrival Time System state : 8 1 2 3 4 5 6 7 8 Lines 1 0 1 0 0 0 1 1 Links max 4 in use 2 clock 1085 Call In Progress From To End 1 8 1095 3 7 1110 Processed Completed Blocked Busy 105 63 20 22 Next Call From To Length Arrival time
- 16. System state : 9 1 2 3 4 5 6 7 8 Lines 0 0 1 0 0 0 1 0 Links max 4 in use 1 clock 1095 Call In Progress From To End 3 7 1110 Processed Completed Blocked Busy 106 64 20 22 Next Call From To Length Arrival time Next call to Arrive From To Length Arrival Time System state : 10 1 2 3 4 5 6 7 8 Lines 0 0 0 0 0 0 0 0 Links max 4 in use 0 clock 1110 Call In Progress From To End Processed Completed Blocked Busy 107 65 20 22 Next Call From To Length Arrival time
- 17. Thank You