Exam 26: Vehicle Routing and Scheduling

A waiting-line problem that cannot be modeled by standard distributions has been simulated. The table below shows the result of a Monte Carlo simulation. (Assume that the simulation began at 8:00 a.m. and there is only one server.) Why do you think this problem does not fit the standard distribution for waiting lines? Explain briefly how a Monte Carlo simulation might work where analytical models cannot.

Complete the following table in preparation for a Monte Carlo simulation.

One of the advantages of simulation is that

From a portion of a probability distribution, you read that P(demand = 0) is 0.25, and P(demand = 1) is 0.30. The random number intervals for this distribution beginning with 01 are

The __________ method is a simulation technique that uses random elements when chance exists in their behavior.

In most real-world inventory problems, lead time and demand vary in ways that make simulation a necessity because mathematical modeling is extremely difficult.

All forms of simulation are based on probability or chance.

Create a distribution of random numbers that would result in average demand per period for a Monte Carlo simulation that is equivalent to the expected demand per period using the data given by the chart below.

What is the Monte Carlo method?

A distribution of service times at a waiting line shows that service takes 6 minutes 30 percent of the time, 7 minutes 40 percent of the time, 8 minutes 20 percent of the time, and 9 minutes 10 percent of the time. This distribution has been prepared for Monte Carlo analysis. The first two random numbers drawn are 53 and 74. The simulated service times are __________ minutes, then __________ minutes.

Which of the following is a necessity for common EOQ methodology but not simulations

Simulation is the attempt to duplicate the features, appearance, and characteristics of a real system, usually by means of a computerized model.

One of the advantages of simulation is that

Which of the following is true regarding the use of simulation?

Results of simulation experiments with large numbers of trials or long experimental runs will generally be better than those with fewer trials or shorter experimental runs.

One of the disadvantages of simulation is that it

What is the cumulative probability distribution of the following variable?

A simulation is "Monte Carlo" when the elements of a system being simulated exhibit chance in their behavior.

Which of the following is not an idea behind simulation?

A small store is trying to determine if its current checkout system is adequate. Currently, there is only one cashier, so it is a single-channel, single-phase system. The store has collected information on the interarrival time, and service time distributions. They are represented in the tables below. Use the following two-digit random numbers given below to simulate 10 customers through the checkout system. What is the average time in line, and average time in system? (Set first arrival time to the interarrival time generated by first random number. Random numbers for interarrival times: 07, 60, 77, 49, 76, 95, 51, 16, 14, 85 Random numbers of service times: 57, 17, 36, 72, 85, 31, 44, 30, 26, 09