QUESTION 2: QUEUING ANALYSIS - 30 MARKS The help desk for returning students on the campus of Papine Square University is operated by one Pam and Study student, who listens to students' issues, determine the problem, call through to the relevant personnel to seek clarification and or direct each student to the relevant deputment to the best of knowledge The Eam and Study student can help an average of 25 returning students per hour, whilean average of 2 returning students arrive every 5 minutes to seek help with registration issues Assess the following characteristics of the helpdesk a) The percentage of time that ta returning student will be helped immediately by the Eam and & Stady student, ..., without having to wait in line. 14 marks) b) The average time a returning student has to spend waiting in line before being helped by the Eam & Study student 13 marks .) The average number of returning students who are waiting on the Fam & Study student 13 marks for assistance The average time that a returning student spends getting help, i.e waiting line + time at the help desk, before leaving the helpdesk [3 marks! e) The probability that a returning student who has just arrived to seek help will have to wait in line before being helped by the Fum & Study student. 13 marks) Students have complained to the President of Papine Square University about having to wait in a long time in the hot tent" to get help with registration assistance The President is therefore considering the following alternative: Employ mother Earn & Study Student, so that both are sented with their backs to each other in an enclosed area. This will eliminate customers/returning students moving between lines Gockeying). Assume that returning students will divide themselves equally between each line, so that the arrival rate for each help desk will be half of the prior arrival tute for a single help desk. The service rate for each help desk will retain the same as the previous service rate. The Business & Finance department has estimated that this alternative will enable an additional 400 students to be helped. These students would not otherwise have registered for a one (l) credit remedial math module The University came $10500 per credit on this module. However employing the additional student would cost $80,000 for set up of space and a salary of $120,000 for the one week Determine the following The NEW average waiting time per returning student. 13 marial How many MINUTES have been saved on the original time from port (by? [2 marks h) Evaluate the NET PROFIT or Loss for thus proposed alternative. 16 marks ) Based on your response from part th), would you advise the President to implement his alternative plus? Why? 11 + 2 marks] Page 3 of 7 QUESTION 2: QUEUING ANALYSIS - 30 MARKS The help desk for returning students on the campus of Papine Square University is operated by one Pam and Study student, who listens to students' issues, determine the problem, call through to the relevant personnel to seek clarification and or direct each student to the relevant deputment to the best of knowledge The Eam and Study student can help an average of 25 returning students per hour, whilean average of 2 returning students arrive every 5 minutes to seek help with registration issues Assess the following characteristics of the helpdesk a) The percentage of time that ta returning student will be helped immediately by the Eam and & Stady student, ..., without having to wait in line. 14 marks) b) The average time a returning student has to spend waiting in line before being helped by the Eam & Study student 13 marks .) The average number of returning students who are waiting on the Fam & Study student 13 marks for assistance The average time that a returning student spends getting help, i.e waiting line + time at the help desk, before leaving the helpdesk [3 marks! e) The probability that a returning student who has just arrived to seek help will have to wait in line before being helped by the Fum & Study student. 13 marks) Students have complained to the President of Papine Square University about having to wait in a long time in the hot tent" to get help with registration assistance The President is therefore considering the following alternative: Employ mother Earn & Study Student, so that both are sented with their backs to each other in an enclosed area. This will eliminate customers/returning students moving between lines Gockeying). Assume that returning students will divide themselves equally between each line, so that the arrival rate for each help desk will be half of the prior arrival tute for a single help desk. The service rate for each help desk will retain the same as the previous service rate. The Business & Finance department has estimated that this alternative will enable an additional 400 students to be helped. These students would not otherwise have registered for a one (l) credit remedial math module The University came $10500 per credit on this module. However employing the additional student would cost $80,000 for set up of space and a salary of $120,000 for the one week Determine the following The NEW average waiting time per returning student. 13 marial How many MINUTES have been saved on the original time from port (by? [2 marks h) Evaluate the NET PROFIT or Loss for thus proposed alternative. 16 marks ) Based on your response from part th), would you advise the President to implement his alternative plus? Why? 11 + 2 marks] Page 3 of 7