Overview The Erlang-B formula is widely used as a means of quickly estimating the number of channels required when dimensioning a planned telecommunication link or resource. The aim of this assignment is to investigate how accurate the results provided by use of the Erlang-B formula are compared to the results of a Monte Carlo simulation of the operation of the resource. The assignment also examines the use of the altemative Erlang-C formula to determine whether it may off a better match Expected Methodology 1. Using some online research, identify a simple real world telecoms scenario involving a resource which has a capacity to handle a maximum number of N simultaneous voice calls and where the use of the Erlang-B formula would be appropriate. You must be able to offer evidence from your research as to why the value of N which you will subsequently use in this assignment is appropriate for the scenario. 2. Using this value of N, write a script or use Excel to determine the GOS predicted by the Erlang-B formula for a range of offered traffic values 3. Model, using a Monte Carlo simulation approach (using whatever scripting or programming language you wish), the behaviour when a certain traffic is offered during a single hour of operation. a. The simulation model must be run multiple times for many different traffic loads (i.e. offered traffic values) with each run of the simulation providing a GOS value for that offered traffic level b. Each simulation nun will involve the simulation of a certain number of calls with each call having a duration over some fixed time period e.g. an hour c. You can assume that the call start times are randomly distributed (using a uniform distribution) over the simulation time period d. The duration of each call must be randomly generated using an appropriate call holding time distribution. You must research an appropriate model to use for such a distribution with appropriate average call durations. The source of this information must be detailed in your final report (using appropriate references) e. In this simulation, should there be insufficient capacity to handle the call, the call should simply be dropped from the simulation 4. A comparison of the results obtained in parts 2 and 3 should be completed and conclusions drawn as to how well the Erlang-B formula predicted the behaviour observed in the simulation model. 5. Update your simulation so that calls which cannot be handled due to insufficient capacity are re-queued after a delay. a. You should research and cite in your report) an appropriate model for this re- queuing of the call start time 6. Compare the goodness of fit of both the Erlang-B and Erlang-C formulae to the results of this updates simulation Overview The Erlang-B formula is widely used as a means of quickly estimating the number of channels required when dimensioning a planned telecommunication link or resource. The aim of this assignment is to investigate how accurate the results provided by use of the Erlang-B formula are compared to the results of a Monte Carlo simulation of the operation of the resource. The assignment also examines the use of the altemative Erlang-C formula to determine whether it may off a better match Expected Methodology 1. Using some online research, identify a simple real world telecoms scenario involving a resource which has a capacity to handle a maximum number of N simultaneous voice calls and where the use of the Erlang-B formula would be appropriate. You must be able to offer evidence from your research as to why the value of N which you will subsequently use in this assignment is appropriate for the scenario. 2. Using this value of N, write a script or use Excel to determine the GOS predicted by the Erlang-B formula for a range of offered traffic values 3. Model, using a Monte Carlo simulation approach (using whatever scripting or programming language you wish), the behaviour when a certain traffic is offered during a single hour of operation. a. The simulation model must be run multiple times for many different traffic loads (i.e. offered traffic values) with each run of the simulation providing a GOS value for that offered traffic level b. Each simulation nun will involve the simulation of a certain number of calls with each call having a duration over some fixed time period e.g. an hour c. You can assume that the call start times are randomly distributed (using a uniform distribution) over the simulation time period d. The duration of each call must be randomly generated using an appropriate call holding time distribution. You must research an appropriate model to use for such a distribution with appropriate average call durations. The source of this information must be detailed in your final report (using appropriate references) e. In this simulation, should there be insufficient capacity to handle the call, the call should simply be dropped from the simulation 4. A comparison of the results obtained in parts 2 and 3 should be completed and conclusions drawn as to how well the Erlang-B formula predicted the behaviour observed in the simulation model. 5. Update your simulation so that calls which cannot be handled due to insufficient capacity are re-queued after a delay. a. You should research and cite in your report) an appropriate model for this re- queuing of the call start time 6. Compare the goodness of fit of both the Erlang-B and Erlang-C formulae to the results of this updates simulation