Ops Final Exam Study Guide Part 4

________ is not part of a Monte Carlo simulation.

Finding an optimal solution

Regarding the "Clayton County Rescue Squad and Ambulance Service" problem, please choose the option that it is not correct:

If the number of trips to Benton is increased to 400 (changed from 105 to 400), the best location for the centralized facility and garage is Abbeville.

Please indicate which one of the following options is not correct? Pseudorandom numbers exhibit a(n) ________ in order to be considered truly random.

detectable pattern

Small motors for garden equipment are produced at four manufacturing facilities and need to be shipped to three plants that produce different garden items (lawn mowers, rototillers, leaf blowers). The company wants to minimize the cost of transporting items between the facilities, taking into account the demand at the three different plants, and the supply at each manufacturing site. The table below shows the cost to ship one unit between each manufacturing facility and each plant (transportation costs), as well as the demand at each plant and the supply at each manufacturing facility. From Manufacturing Facility To Plant A B C Supply 1 3 3.5 2.8 350 2 3.5 3 4 150 3 4.5 3 3.8 200 Demand 210 160 110 After you have formulated and solved this problem, please indicate the number of items that should be shipped from the manufacturing facility #2 in order to minimize the company's cost of transportation:

0

The drying rate in an industrial process is dependent on many factors and varies according to the following distribution. Minutes Frequency 13 0.22 14 0.36 15 0.28 16 0.10 17 0.04 If this following sequence represents a simulation of 5 random numbers trials, r (0 less or equal than less or equal than 1), what is the average drying time: r1 = 0.13 ; r2 = 0.09 ; r3 = 0.99, r4 = 0.81 , and r5 = 0.62.

14.6

A long period of real time cannot be represented by a short period of simulated time.

False

Simulation results will always equal analytical results if 1000 trials of the simulation have been conducted.

False

Random numbers are equally likely to occur.

True

Random numbers generated by a mathematical process instead of a physical process are pseudorandom numbers.

True

If f(x) = 4x, what is the equation for generating x, given the random number r?

x = square root of (r /2)

The time between arrivals of oil tankers at a loading clock at Prudhoe Bay is given by the following probability distribution: The time required to fill a tanker with oil and prepare it for sea is given by the following probability distribution: Simulate the movement of tankers to and from the single loading dock for the first 33 arrivals and choose the option that represents the average waiting time to load and prepare the ship for sea (please consider ONLY TWO DECIMAL HOUSES). IMPORTANT - read the instruction below. For the random numbers, please use the excel file named as "seq100trials33" - it is available on Blackboard. Please consider the same "starting condition" that was applied in the original problem resolved in class. Use the first 32 random numbers of the "sequence 38" for the "time between ship arrivals", and the whole "sequence 39" for the "time to fill and prepare".

23

Consider the following distribution and random numbers: Demand Frequency 0 0.15 1 0.30 2 0.25 3 0.15 4 0.15 Random Numbers are represented by ri. Where 0 less or equal than ri less or equal than1 i = 1, 2, 3, 4, ... The first 6 elements of a sequence of random numbers are: r1 = 0.82 ; r2 = 0.23; r3 = 0.95 ; r4 = 0.20 ; r5 = 0.14 ; r6 = 0.38 ; If a simulation begins with the first random number, the first simulation value would be ________.

3

Small motors for garden equipment are produced at four manufacturing facilities and need to be shipped to three plants that produce different garden items (lawn mowers, rototillers, leaf blowers). The company wants to minimize the cost of transporting items between the facilities, taking into account the demand at the three different plants, and the supply at each manufacturing site. The table below shows the cost to ship one unit between each manufacturing facility and each plant (transportation costs), as well as the demand at each plant and the supply at each manufacturing facility. From Manufacturing Facility To Plant A B C Supply 1 3 3.5 2.8 350 2 3.5 3 4 150 3 4.5 3 3.8 200 Demand 210 160 110 After you have formulated and solved this problem, please indicate how much the company is willing to pay for an extra unit of an item demanded by plant A:

3

The time between arrivals of oil tankers at a loading clock at Prudhoe Bay is given by the following probability distribution: The time required to fill a tanker with oil and prepare it for sea is given by the following probability distribution: Simulate the movement of tankers to and from the single loading dock for the first 33 arrivals and choose the option that represents the average time between arrivals (please consider ONLY TWO DECIMAL HOUSES). IMPORTANT - read the instructions below. For the random numbers, please use the excel file named as "seq100trials33" - it is available on Blackboard. Please consider the same "starting condition" that was applied in the original problem resolved in class. Use the first 32 random numbers of the "sequence 38" for the "time between ship arrivals", and the whole "sequence 39" for the "time to fill and prepare".

3.94

A community council must decide which recreation facilities to construct in its community. Four new recreation facilities have been proposed—a swimming pool, a tennis center, an athletic field, and a gymnasium. The council wants to construct facilities that will maximize the expected daily usage by the residents of the community, subject to land and cost limitations. The expected daily usage and cost and land requirements for each facility follow: The community has a $140,000 construction budget and 14 acres of land. The tennis center is conditional upon construction of the swimming pool. The council wants to know which of the recreation facilities to construct to maximize the expected daily usage. After you formulate and solve this problem, which one of the following options is not correct:

The tennis center will not be chosen.