# Question: Consider the M M 1 queueing theory model that was discussed in

Consider the M/M/1 queueing theory model that was discussed in Sec. 17.6 and Example 2, Sec. 20.1. Suppose that the mean arrival rate is 5 per hour, the mean service rate is 10 per hour, and you are required to estimate the expected waiting time before service begins by using simulation.

(a) Starting with the system empty, use next-event incrementing to perform the simulation by hand until two service completions have occurred.

(b) Starting with the system empty, use fixed-time incrementing (with 2 minutes as the time unit) to perform the simulation by hand until two service completions have occurred.

(c) Use the interactive procedure for simulation in your IOR Tutorial (which incorporates next-event incrementing) to interactively execute a simulation run until 20 service completions have occurred.

(d) Use the Queueing Simulator to execute a simulation run with 10,000 customer arrivals.

(e) Use the Excel template for this model in the Excel files for Chap. 17 to obtain the usual measures of performance for this queueing system. Then compare these exact results with the corresponding point estimates and 95 percent confidence intervals obtained from the simulation run in part (d). Identify any measure whose exact result falls outside the 95 percent confidence interval.

(a) Starting with the system empty, use next-event incrementing to perform the simulation by hand until two service completions have occurred.

(b) Starting with the system empty, use fixed-time incrementing (with 2 minutes as the time unit) to perform the simulation by hand until two service completions have occurred.

(c) Use the interactive procedure for simulation in your IOR Tutorial (which incorporates next-event incrementing) to interactively execute a simulation run until 20 service completions have occurred.

(d) Use the Queueing Simulator to execute a simulation run with 10,000 customer arrivals.

(e) Use the Excel template for this model in the Excel files for Chap. 17 to obtain the usual measures of performance for this queueing system. Then compare these exact results with the corresponding point estimates and 95 percent confidence intervals obtained from the simulation run in part (d). Identify any measure whose exact result falls outside the 95 percent confidence interval.

**View Solution:**## Answer to relevant Questions

You are given the multiplicative congruential generator x0 = 1 and xn+1 ≡ 7xn (modulo 13) for n = 0, 1, 2, . . . . (a) Calculate xn for n = 1, 2, . . . , 12. (b) How often does each integer between 1 and 12 appear in the ...Consider the Everglade cash flow problem discussed in this chapter. Suppose that extra cash is kept in an interest-bearing savings account. Assume that any cash left at the end of a year earns 3 percent interest the ...Refer to the scenario described in Prob. 3.4-10 (Chap. 3), but ignore the instructions given there. Focus instead on using spreadsheet modeling to address Larry Edison’s problem by doing the following. (a) Visualize where ...Alfred Lowenstein is the president of the research division for Better Health, Inc., a major pharmaceutical company. His most important project coming up is the development of a new drug to combat AIDS. He has identified 10 ...Reconsider the Electronic Toys Co. problem presented in Prob. 22.4-5. Sharon Lowe is concerned that there is a significant chance that the vitally important deadline of 57 days will not be met. Therefore, to make it ...Post your question