ejercicios promodel

TAREA DE

TAREA DE

SIMULACIN AVANZADA

EDUARDO MARROQUIN PRADO

Saltillo, Coah. Mxico 17 de Nov. De 2003

LAB 5

1. Consider the operation of a fast food restaurant where customers arrive for ordering lunch. The following is a log of the time (minutes) between arrivals of 40 successive customers. Use Stat::Fit to analyze the data and fit an appropriate continuous distribution to the data. What are the parameters of the distribution?

111112815141513

913149149137

12127131216710

8817151071611

1110161011121415

Adjusting the data to Stat::Fit, the two better fitted distribution are shown below.

For the triangular distribution, the parameters are: a=6, b=18.1 and c=10.9.

For the uniform distribution, the parameters are a=7 y b=17.

2. The servers at the above restaurant took the following time (minutes) to serve food to these 40 customers: Use Sata::Fit to analyze the data and fit an appropriate continuous distribution to the data. What are the parameters of this distribution?

111112815141513

91314101491312

1212111312161110

10817121071311

1110131011121415


For the beta distribution, the parameters are: =2.67 and =2.84.

For the Weibull distribution, the parameters are : =2.55 and =5.6.

3. The following is the number of incoming calls (each hour for 80 successive hours) to a calla center set up for serving customers of a certain Internet service provider. Use Stat::Fit to analyze the data fit an appropriate discrete distribution to the data. What are the parameters of this distribution?

12

9

12

10

11

9

12

10

11

10

12

13

12

8

11

13

12

8

10

8

11

14

11

17

12

14

11

17

13

1713

10

13

12

8

10

13

12

10

1212

14

12

10

15

14

12

10

11

1016

9

16

7

14

9

16

7

12

711

13

11

13

15

13

11

13

14

1310

12

10

11

13

12

10

11

15

11

Adjusting the data to Stat::Fit, there is only one discrete distribution which better adjust the data. It is the binomial distribution with n=22 and p=0.532.

The fitted distribution is shown below.

4. Observations were taken on the times to serve online customers at stockbrokers site (STOCK.com) on the Internet. The times (in seconds) are shown below, sorted in ascending order. Use Stat::Fit and fit an appropriate distribution to the data. What are the parameters of this distribution.

1.39

3.59

7.11

8.34

11.14

11.97

13.53

16.87

17.63

19.4421.47

22.55

28.04

28.97

29.05

35.26

37.65

38.21

38.32

39.17

39.49

39.99

44.42

42.53

47.08

51.53

55.11

55.75

55.85

56.9658.78

60.61

63.38

65.99

66

76.55

73.81

74.14

79.79

81.6682.1

83.52

85.9

88.04

88.4

88.47

92.63

93.11

93.74

98.82


For the uniform distribution, the parameters are: a=1 and b=98.8.

For the beta distribution, the parameters are : =1.06 and =1.13.

LAB 6

1. Visitors arrive at Kids World entertainment park according to an exponential interarrival time distribution with mean 2.5 minutes. The travel time from the entrance to the ticket window is normally distributed with mean of three minutes and standard deviation of 0.5 minute. At the ticket window, visitors wait in a single line until one of six cashiers is available to serve them. The time for the purchase of tickets is normally distributed with mean of five minutes and standard deviation of one minute. After purchasing tickets, the visitors go to their respective gates to enter the park.

Create a simulation model, with animation, of this system. Run the simulation model for 200 hours to determine.

a) The average and maximum length of the ticketing queue.

b) The average number of customers completing ticketing per hour.

c) The average utilization of the cashiers.

d) Do you recommended that management add more cashiers?

Running the simulation model (LAB6.1) the results are the following:

a) The average and maximum length of the ticketing queue are 0.0088 and 1 visitors

b) The average number of customers completing ticketing per hour are 16.07.

c) The average utilization of the cashiers are: 50%, 45% and 37% for cashier 1, 2 and 3.

Running the model LAB6.1. The results are according to the following graph of locations utilization, where we can see how the aisle o the road from the entrance to the ticket window, becomes a queue.

.

d) Do you recommended that management add more cashiers?

Not, this is not a good recommendation since only three cashiers are used and the other three are idle.

2. A consultant recommended that six individual queues be formed at the ticket window (one for each cashier) instead of the common queue. Create a simulation model, with animation, of this system. Run the simulation model for 200 hours to determine.

I did not built the corresponding model since for any queue system, no matter how the interarrivals and service time are, it is better to attend the costumers by a single line instead of independent lines.

3. At the Southern California Airlines traveler check-in facility, three types of customers arrive: passengers with e-ticket (Type E), passenger with paper ticket (Type T), and passengers that need to purchase ticket (Type P)

The interaarrival distribution and the service times for these passengers are given in the table. Create a simulation model, with animation, of this system. Run the simulation model for 2000 hours. If each type of passenger is served by separate gate agents, determine the following:

a) The average and maximum length of the three queues.

b) The average number of the customers of each type completing check-in procedures per hour.

c) The average utilization of the gate agents.

d) Would you recommended one single line for check-in for all three types of travelers? Discus the pros and cons for such a change.

Running the simulation model LAB6.3 shown in the appendix, we got the following fesults:

LAB6.3

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General Report

Output from C:\ProMod4\models\LAB6.3.MOD

Date: Nov/13/2003 Time: 11:40:29 AM

--------------------------------------------------------------------------------

Scenario : Normal Run

Replication : 1 of 1

Simulation Time : 2000 hr

--------------------------------------------------------------------------------

LOCATIONS

Average

Location Scheduled Total Minutes Average Maximum Current

Name Hours Capacity Entries Per Entry Contents Contents Contents % Util

-------- --------- -------- ------- --------- -------- -------- -------- ------

Linea1 2000 999999 21826 2.131121 0.387615 9 0 0.00

Linea2 2000 999999 11301 14.263030 1.34322 15 2 0.00

Linea3 2000 999999 7542 18.006205 1.13169 11 0 0.00

Check1 2000 1 21826 2.996429 0.545 1 0 54.50Check2 2000 1 11299 8.000688 0.753331 1 1 75.33Check3 2000 1 7542 11.966399 0.752088 1 1 75.21a) The average and maximum length of the three queues are:.

Linea1 average 0.387615 and maximum content 9



b. The average number of the customers of each type completing check-in procedures per hour.

For Check1 the average number per hour is =

(21826/2000)= 10.9


(11299 /2000)= 5.64


(7542/2000)= 3.77

c. The average utilization of the gate agents.

For Check1 54.50%

For Check2 75.33%

For Check3 75.21%

d. Would you recommended one single line for check-in for all three types of travelers? Discus the pros and cons for such a change.

No, this recommendation is not a good decision given that for sigle lines the average time per customer is higher that only one line for all the system.

4. Raja & Rani, a fancy restaurant in Santa Clara, Hold a maximum of 100 diners. Customers arrive according to an exponential distribution with a mean of 35 minutes. Customers stay in the restaurant according to a triangular distribution with a minimum of 30 minutes, a maximum of 60 minutes, and a mode of 45 minutes. Create a simulation model, with animation, of this system.

a) Beginning empty, how long is it before the restaurant fills?

b) What is the total number of diners entering the restaurant before it fills?

c) What is the utilization of the restaurant?

5. United Electronics manufactures small custom electronic assemblies. There are four stations through which the part must be processed: assembly, soldering, painting, and inspection. Orders arrive with and exponential interarrival distribution (mean 20 minutes). The process time distributions are shown in the table.

The soldering operation can be performed on three jobs at a time. Painting can be done on four jobs at a time. Assembly and inspection are performed on one job at a time. Create a simulation model, with animation, of this system. Simulate this manufacturing system for 100 days, eight hours each day. Collect and print statistics on the utilization of each station, associated queues, and the total number of jobs manufactured during each eight-hour shift (average).

All the statistics are shown in the appendix LAB6.5. However, in order to answer part of the question I show in the following graph the utilization of the location. It can be seen that the painting process which is the most consuming time, has the higher utilization.

The following table show the average length of the queues and the average time/ part in the queue:

ParameterAssemblySolderingPaintingInspection

Average Time/Part11.440.862.342.92

Average Queue Length0.640.0450.110.12

The total number of jobs manufactured for a 8 hour shift is, on the

average: 18:27.

6. Consider the Exercise 5 with the following enhancements. Ten percent of all finished assemblies are sent back to soldering for rework after inspection, five percent are sent back to assembly for rework after inspection, and one percent of all assemblies fail to pass and are scrapped. Create a simulation model, with animation, of this system. Simulate this manufacturing system for 100 days, eight hours each day. Collect and print statistics on the utilization of each station, associated queues, total number of jobs assembled number of assemblies sent for rework to assembly and soldering, and the number of assemblies scrapped during each eight-hour shift (average).

The percentages of utilization of the locations area: 72.95% for Assembly, 65.67% for Soldering, 65.87% for Painting and 39.26 for Inspection.

The following table show the average length of the queues and the average time/ part in the queue:

ParameterAssemblySolderingPaintingInspection

Average Time/Part13.132.534.664.79

Average Queue Length0.780.140.270.23

The total of assemblies finished per shift are: 17.49.

7. Small appliances are assembled in four stage (Centers 1,2, and 3 and Inspection) at Pomona Assembly Shop. After each assembly step the appliance is inspected or tested and if a defect is found, it must be corrected and then checked again. The assemblies arrive at a constant rate of one assembly per minute. The times to assemble, test, and correct defects are normally distributed. The mean and standard deviation of the times to assemble, inspect, and correct defects, as well as the likelihood of an assembly error, are shown in the following table. If an assembly is found defective, the defect is corrected and it is inspected again. After a defect is corrected, the likelihood of another defect being found is the same as during the first inspection. We assume in this model that an assembly defect is eventually corrected and then it is passed on to the next station.

Simulate for one year (2000 hours) and determine the number of good appliances shipped in a year.

The corresponding simulation model is LAB6.7. The statistics of the run are shown in appendix LAB6.7 where we can see that the total production is 24,000 parts. It can be shown also in the variable for counting the production of the model.

8. Salt Lake City Electronics manufactures small custom communication equipment. To different job types are to be processed with the following manufacturing cell. The necessary data are given in the table. Simulate the system for 100 days, eight hours each day, to determine the average number of jobs waiting for different operations, number of jobs of each type finished each day, average cycle time for each type of job, and the average cycle time for all jobs.

9. Six dump trucks at the DumpOnMe facility in Riverside are used to haul coal from the entrance of a small mine to the railroad. Figure L6.39 provides a schematic of the dump truck operation. Each truck is loaded by one of two loaders. After loading, a truck immediately moves to the scale to be weighed as soon as possible. Both the loaders and the scale have a firs-come, firs-served waiting line (or queue) for trucks. Travel time from a loader to the scale is considered negligible. After being weighed, a truck begins travel time (during which time the truck unload), and then after ward returns to the loader queue. The distributions of loading time, weighed time, and travel time are shown in the table.

a) Create a simulation model, with animation, of this system. Simulate for 100 days, eight hours each day.

b) Collect statistics to estimate the loaded and scale utilization (percentage of time busy).

c) About how many trucks are loaded each day on average?

10. At the Pilot Pen Company, a molding machine produces pen barrels of three different colors-red, blue, and green- in the ratio of 3:2:1.

The molding time is triangular (3,4,6) minutes per barrel. The barrels go to a filling machine where ink of appropriate color is filled at the rate of 20 pens per hour (exponentially distributed). Another molding machine makes caps of three different colors-red, blue, and green-in the ratio of 3:2:1. The molding time is triangular (2,3,4) minutes per cap. At the next station, caps and filled barrels of matching colors are joined together.

Simulate for 300 hours. Find the average number of pens produced per hour. Collect statistics on the utilization of the molding machine and the joining equipment.

11. Customers arrive at the NoWaitBurger hamburger stand with an interarrival time that is exponentially distributed with a mean of one minute. Out of 10 customers five buy a hamburger and a drink, three buy a hamburger, and two buy just a drink. One server handless the hamburger while another handless the drink. A person buying both items needs to wait in line for both serves. The time it takes to serve a customer is normally distributed with a mean of 70 seconds for each item. Simulate for100 days, eight hours each day. Collect statistics on the number of customers served each day, size of the queue, and utilization of the servers. What changes would you suggest to make the system more efficient?

For answering this problem I used two model. One for the original problem statement, LAB6.11.a and other for looking to efficient the system, LAB6.11.b. The changes for this model is to use three lines, one attended for Clerk1 who served only customers buying hamburgers and drinks the other two lines are attended for Clerk2 for the customers who bay Hamburger or Drink. The results of the two models are shown in the following table.

ParameterModel

LAB6.11.aModel

LAB6.11.b

Average Cycle Time/ Customer1059 sec.1234

Average Waiting in Queue/Customer(Q1)17542398



Percentage of Utilization Clerk198.2298.56

Percentage of Utilization Clerk274.2557.55

Percentage of Occupation/Customer12.029.7

Customers Attended /Day445438

The number shown, less waiting time, more customers attended , etc, that the change proposed do not make better than the actual system. Other change that efficient the system, in terms of the service to the customers, is to reduce the attending time of the clerks.

12. Workers who work at the Detroit TooINDie plant must check out tools from a tool crib. Workers arrive according to an exponential distribution with a mean time between arrivals of five minutes. At present, three tool crib clerks staff the tool crib. The time to serve a worker is normally distributed with a mean of 10 minutes and a standard deviation of two minutes. Compare the following servicing methods. Simulate for a 24-hour period and collect data.

a) Workers form a single queue, choosing the next available tool crib clerk.

b) Workers enter the shortest queue (each clerk has his-her own queue).

c) Workers chose one of three queues at random.

For this system I built the model LAB6.12 for a single line. After, the model as modified to take into account three lines whit different routing rule.

For question a I used the FIRST Available Rule.

For question b I used the MOST Rule.

For question c I used the RANDOM Rule.

The following table shown the results of running the three models:

ParameterModel

LAB6.aModel

LAB6.bModel

LAB6.c

Av. Waiting Time/Customer0.6 min.N.A.N.A.

Av. Waiting Time/Customer (Q1)N.A.7.88 min.7.44 min.



Av. Waiting Time/Customer Clerk110.02 min.10.22 min.9.9 min.



Av. Cycle Time/Customer10.71 min.16.47 min.19.79 min.

Percentage of Utilization Clerk1719363



First of all, comparing the one single line model with the other three independent lines models, looking at the average cycle time per customer or the waiting time per customer, we found that the first one is better than the others.

Comparing, the three lines models, the model using the MOST available capacity location routing rule, LAB6.12.b, is better. Just compare the cycle time of 16.47 min given by the model LAB6.12.b vs. the cycle time of 19.79 min given by the model LAB6.12.c.

LAB6.3

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General Report


Date: Nov/13/2003 Time: 11:40:29 AM

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--------------------------------------------------------------------------------

LOCATIONS

Average



-------- --------- -------- ------- --------- -------- -------- -------- ------

Linea1 2000 999999 21826 2.131121 0.387615 9 0 0.00

Linea2 2000 999999 11301 14.263030 1.34322 15 2 0.00

Linea3 2000 999999 7542 18.006205 1.13169 11 0 0.00

Check1 2000 1 21826 2.996429 0.545 1 0 54.50Check2 2000 1 11299 8.000688 0.753331 1 1 75.33Check3 2000 1 7542 11.966399 0.752088 1 1 75.21LOCATION STATES BY PERCENTAGE (Multiple Capacity)

% |

Location Scheduled % Partially % | %

Name Hours Empty Occupied Full | Down

-------- --------- ----- --------- ---- | ----

Linea1 2000 75.99 24.01 0.00 | 0.00

Linea2 2000 49.75 50.25 0.00 | 0.00

Linea3 2000 51.87 48.13 0.00 | 0.00

LOCATION STATES BY PERCENTAGE (Single Capacity/Tanks)

Location Scheduled % % % % % %

Name Hours Operation Setup Idle Waiting Blocked Down

-------- --------- --------- ----- ----- ------- ------- ----

Check1 2000 54.50 0.00 45.50 0.00 0.00 0.00

Check2 2000 75.33 0.00 24.67 0.00 0.00 0.00

Check3 2000 75.21 0.00 24.79 0.00 0.00 0.00

FAILED ARRIVALS

Entity Location Total

Name Name Failed

------ -------- ------

TypeE Linea1 0

TypeT Linea2 0

TypeP Linea3 0

ENTITY ACTIVITY

Average Average Average Average Average

Current Minutes Minutes Minutes Minutes Minutes

Entity Total Quantity In In Move Wait For In

Name Exits In System System Logic Res, etc. Operation Blocked

------ ----- --------- --------- -------- --------- --------- ---------

TypeE 21826 0 5.127549 0.000000 0.795273 3.062429 1.269848

TypeT 11298 3 22.263362 0.000000 0.000000 8.067096 14.196266

TypeP 7541 1 29.973494 0.000000 0.000000 12.033981 17.939513

ENTITY STATES BY PERCENTAGE

% %

Entity In Move Wait For % %

Name Logic Res, etc. In Operation Blocked

------ ------- --------- ------------ -------

TypeE 0.00 15.51 59.72 24.77

TypeT 0.00 0.00 36.23 63.77

TypeP 0.00 0.00 40.15 59.85

LAB6.5

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General Report

Output from C:\ProMod4\models\LAB5.mod

Date: Nov/17/2003 Time: 12:47:58 AM

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Replication : Average

Period : Final Report (0 sec to 8 hr Elapsed: 8 hr)


--------------------------------------------------------------------------------

LOCATIONS

Average



---------- --------- -------- -------- --------- --------- -------- -------- ------

Arrive 8 999999 24.89 0.000000 0 1 0 0.00 (Average)

Arrive 0 0 4.7288 0.000000 0 0 0 0.00 (Std. Dev.)

QueueA 8 999999 24.89 11.449830 0.641063 3.41 0.75 0.00 (Average)

QueueA 0 0 4.7288 7.974494 0.549325 1.51154 1.34371 0.00 (Std. Dev.)

Assembly 8 1 24.14 13.298290 0.669068 1 0.65 66.91 (Average)

Assembly 0 0 4.23077 0.264583 0.119889 0 0.479372 11.99 (Std. Dev.)

QueueS 8 999999 23.49 0.866597 0.0451497 1.19 0.02 0.00 (Average)

QueueS 0 0 4.21995 0.914846 0.0510483 0.394277 0.140705 0.00 (Std. Dev.)

S1 8 1 9.97 34.714640 0.716218 1 0.69 71.62 (Average)

S1 0 0 1.35926 3.460856 0.0862923 0 0.464823 8.63 (Std. Dev.)

S2 8 1 7.92 35.004934 0.574425 1 0.61 57.44 (Average)

S2 0 0 1.61858 3.636963 0.116566 0 0.490207 11.66 (Std. Dev.)

S3 8 1 5.58 34.519376 0.402229 1 0.47 40.22 (Average)

S3 0 0 2.0898 5.325566 0.156005 0 0.501614 15.60 (Std. Dev.)

QueueP 8 999999 21.7 2.343168 0.116409 1.7 0.11 0.00 (Average)

QueueP 0 0 4.0936 2.326466 0.132562 0.659047 0.345096 0.00 (Std. Dev.)

P1 8 1 6.8 51.495696 0.727376 1 0.82 72.74 (Average)

P1 0 0 0.765414 3.634435 0.0785386 0 0.386123 7.85 (Std. Dev.)

P2 8 1 5.98 51.528591 0.638995 1 0.79 63.90 (Average)

P2 0 0 1.03455 4.518899 0.107292 0 0.40936 10.73 (Std. Dev.)

P3 8 1 4.94 51.743745 0.528009 1 0.6 52.80 (Average)

P3 0 0 1.39856 5.349709 0.146482 0 0.492366 14.65 (Std. Dev.)

P4 8 1 3.87 52.060951 0.416191 1 0.49 41.62 (Average)

P4 0 0 1.60589 6.956317 0.172565 0 0.502418 17.26 (Std. Dev.)

QueueI 8 999999 18.89 2.928281 0.121818 1.87 0.22 0.00 (Average)

QueueI 0 0 3.86618 2.835096 0.136124 0.77401 0.561024 0.00 (Std. Dev.)

Inspection 8 1 18.67 7.556816 0.292458 1 0.4 29.25 (Average)

Inspection 0 0 3.76334 1.590489 0.0787391 0 0.492366 7.87 (Std. Dev.)

LOCATION STATES BY PERCENTAGE (Multiple Capacity)

% |



-------- --------- ------ --------- ---- | ----

Arrive 8 100.00 0.00 0.00 | 0.00 (Average)

Arrive 0 0.00 0.00 0.00 | 0.00 (Std. Dev.)

QueueA 8 66.03 33.97 0.00 | 0.00 (Average)

QueueA 0 16.43 16.43 0.00 | 0.00 (Std. Dev.)

QueueS 8 95.64 4.36 0.00 | 0.00 (Average)

QueueS 0 4.81 4.81 0.00 | 0.00 (Std. Dev.)

QueueP 8 90.26 9.74 0.00 | 0.00 (Average)

QueueP 0 9.55 9.55 0.00 | 0.00 (Std. Dev.)

QueueI 8 90.88 9.12 0.00 | 0.00 (Average)

QueueI 0 6.42 6.42 0.00 | 0.00 (Std. Dev.)




---------- --------- --------- ----- ----- ------- ------- ----

Assembly 8 66.91 0.00 33.09 0.00 0.00 0.00 (Average)

Assembly 0 11.99 0.00 11.99 0.00 0.00 0.00 (Std. Dev.)

S1 8 71.62 0.00 28.38 0.00 0.00 0.00 (Average)

S1 0 8.63 0.00 8.63 0.00 0.00 0.00 (Std. Dev.)

S2 8 57.44 0.00 42.56 0.00 0.00 0.00 (Average)

S2 0 11.66 0.00 11.66 0.00 0.00 0.00 (Std. Dev.)

S3 8 40.22 0.00 59.78 0.00 0.00 0.00 (Average)

S3 0 15.60 0.00 15.60 0.00 0.00 0.00 (Std. Dev.)

P1 8 72.74 0.00 27.26 0.00 0.00 0.00 (Average)

P1 0 7.85 0.00 7.85 0.00 0.00 0.00 (Std. Dev.)

P2 8 63.90 0.00 36.10 0.00 0.00 0.00 (Average)

P2 0 10.73 0.00 10.73 0.00 0.00 0.00 (Std. Dev.)

P3 8 52.80 0.00 47.20 0.00 0.00 0.00 (Average)

P3 0 14.65 0.00 14.65 0.00 0.00 0.00 (Std. Dev.)

P4 8 41.62 0.00 58.38 0.00 0.00 0.00 (Average)

P4 0 17.26 0.00 17.26 0.00 0.00 0.00 (Std. Dev.)

Inspection 8 29.25 0.00 70.75 0.00 0.00 0.00 (Average)

Inspection 0 7.87 0.00 7.87 0.00 0.00 0.00 (Std. Dev.)

FAILED ARRIVALS


Name Name Failed

------ -------- ------

Part Arrive 0 (Average)

Part Arrive 0 (Std. Dev.)

ENTITY ACTIVITY





------ ------- --------- ---------- -------- --------- ---------- ---------

Part 18.27 6.62 127.826108 0.000000 0.000000 112.015587 15.810522 (Average)

Part 3.75743 2.7699 11.797136 0.000000 0.000000 3.530039 11.191192 (Std. Dev.)


% %



------ ------- --------- ------------ -------

Part 0.00 0.00 88.23 11.77 (Average)

Part 0.00 0.00 6.98 6.98 (Std. Dev.)

LAB6.6

--------------------------------------------------------------------------------

General Report


Date: Nov/17/2003 Time: 12:58:14 AM

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--------------------------------------------------------------------------------

LOCATIONS

Average



---------- --------- -------- ------- --------- -------- -------- -------- ------

Arrive 8 1 26.31 0.000000 0 1 0 0.00 (Average)

Arrive 0 0 4.87769 0.000000 0 0 0 0.00 (Std. Dev.)

QueueA 8 999999 26.31 13.135939 0.789522 3.52 0.92 0.00 (Average)

QueueA 0 0 4.87769 9.572013 0.697158 1.67862 1.56786 0.00 (Std. Dev.)

Assembly 8 1 26.3 13.311732 0.72951 1 0.72 72.95 (Average)

Assembly 0 0 4.43243 0.229793 0.124646 0 0.451261 12.46 (Std. Dev.)

QueueS 8 999999 25.58 2.537776 0.147603 1.56 0.25 0.00 (Average)

QueueS 0 0 4.37435 2.812353 0.180566 0.640707 0.609272 0.00 (Std. Dev.)

Soldering 8 3 27.46 34.445471 1.96996 3 2.18 65.67 (Average)

Soldering 0 0 4.70207 1.763748 0.349082 0 0.857292 11.64 (Std. Dev.)

QueueP 8 999999 25.28 4.663645 0.275974 2.17 0.5 0.00 (Average)

QueueP 0 0 4.42235 4.312990 0.291102 1.00559 0.870388 0.00 (Std. Dev.)

Painting 8 4 24.78 51.042634 2.63468 4 3.34 65.87 (Average)

Painting 0 0 3.98882 2.242909 0.43565 0 0.95579 10.89 (Std. Dev.)

QueueI 8 999999 21.44 4.792255 0.229366 2.13 0.39 0.00 (Average)

QueueI 0 0 3.54287 4.241065 0.223092 0.883691 0.790026 0.00 (Std. Dev.)

Inspection 8 1 21.05 8.867622 0.392612 1 0.52 39.26 (Average)

Inspection 0 0 3.40343 2.049844 0.120159 0 0.502117 12.02 (Std. Dev.)

Scrap 8 999999 0.15 0.000000 0 0.15 0 0.00 (Average)

Scrap 0 0 0.35887 0.000000 0 0.35887 0 0.00 (Std. Dev.)

Store 8 999999 17.34 0.000000 0 1 0 0.00 (Average)

Store 0 0 3.03588 0.000000 0 0 0 0.00 (Std. Dev.)


% |



--------- --------- ------ --------- ----- | ----

QueueA 8 59.85 40.15 0.00 | 0.00 (Average)

QueueA 0 19.19 19.19 0.00 | 0.00 (Std. Dev.)

QueueS 8 87.86 12.14 0.00 | 0.00 (Average)

QueueS 0 11.73 11.73 0.00 | 0.00 (Std. Dev.)

Soldering 8 8.81 54.28 36.91 | 0.00 (Average)

Soldering 0 5.92 13.73 16.88 | 0.00 (Std. Dev.)

QueueP 8 80.62 19.38 0.00 | 0.00 (Average)

QueueP 0 15.81 15.81 0.00 | 0.00 (Std. Dev.)

Painting 8 11.82 49.99 38.19 | 0.00 (Average)

Painting 0 3.16 17.47 18.71 | 0.00 (Std. Dev.)

QueueI 8 83.96 16.04 0.00 | 0.00 (Average)

QueueI 0 11.21 11.21 0.00 | 0.00 (Std. Dev.)

Scrap 8 100.00 0.00 0.00 | 0.00 (Average)

Scrap 0 0.00 0.00 0.00 | 0.00 (Std. Dev.)

Store 8 100.00 0.00 0.00 | 0.00 (Average)

Store 0 0.00 0.00 0.00 | 0.00 (Std. Dev.)




---------- --------- --------- ----- ------ ------- ------- ----

Arrive 8 0.00 0.00 100.00 0.00 0.00 0.00 (Average)

Arrive 0 0.00 0.00 0.00 0.00 0.00 0.00 (Std. Dev.)

Assembly 8 72.95 0.00 27.05 0.00 0.00 0.00 (Average)

Assembly 0 12.47 0.00 12.47 0.00 0.00 0.00 (Std. Dev.)

Inspection 8 34.39 0.00 60.74 0.00 4.87 0.00 (Average)

Inspection 0 9.40 0.00 12.02 0.00 5.23 0.00 (Std. Dev.)

FAILED ARRIVALS


Name Name Failed

------ -------- ------

Part Arrive 0 (Average)

Part Arrive 0 (Std. Dev.)

ENTITY ACTIVITY





------ ------ --------- ---------- -------- --------- ---------- ---------

Part 17.49 8.82 145.191634 0.000000 4.458791 122.900501 17.832342 (Average)

Part 3.0268 3.75346 19.738890 0.000000 5.261344 9.364318 10.927411 (Std. Dev.)


% %



------ ------- --------- ------------ -------

Part 0.00 2.83 85.56 11.61 (Average)

Part 0.00 3.11 8.06 5.73 (Std. Dev.)

LAB6.7

--------------------------------------------------------------------------------

General Report

Output from C:\ProMod4\models\LAB7.mod

Date: Nov/16/2003 Time: 04:19:03 PM

--------------------------------------------------------------------------------




--------------------------------------------------------------------------------

LOCATIONS

Average



-------- --------- -------- ------- --------- ----------- -------- -------- ------

Arrive 2000 999999 24001 0.000000 0 1 0 0.00

Ass1 2000 1 24001 0.701020 0.14021 1 1 14.02

Ins1 2000 1 26667 0.200305 0.0445129 1 0 4.45

Cor1 2000 1 2667 0.200410 0.00445412 1 0 0.45

Ass2 2000 1 24000 0.751316 0.150263 1 0 15.03

Ins2 2000 1 25249 0.199760 0.0420311 1 0 4.20

Cor2 2000 1 1249 0.150327 0.00156465 1 0 0.16

Ass3 2000 1 24000 0.799959 0.159992 1 0 16.00

Ins3 2000 1 24730 0.150268 0.0309677 1 0 3.10

Cor3 2000 1 730 0.099484 0.000605192 1 0 0.06

Stock 2000 999999 24000 0.000000 0 1 0 0.00

Store 2000 1 0 0.000000 0 0 0 0.00


% |



-------- --------- ------ --------- ---- | ----

Arrive 2000 100.00 0.00 0.00 | 0.00

Stock 2000 100.00 0.00 0.00 | 0.00




-------- --------- --------- ----- ------ ------- ------- ----

Ass1 2000 14.02 0.00 85.98 0.00 0.00 0.00

Ins1 2000 4.45 0.00 95.55 0.00 0.00 0.00

Cor1 2000 0.45 0.00 99.55 0.00 0.00 0.00

Ass2 2000 15.03 0.00 84.97 0.00 0.00 0.00

Ins2 2000 4.20 0.00 95.80 0.00 0.00 0.00

Cor2 2000 0.16 0.00 99.84 0.00 0.00 0.00

Ass3 2000 16.00 0.00 84.00 0.00 0.00 0.00

Ins3 2000 3.10 0.00 96.90 0.00 0.00 0.00

Cor3 2000 0.06 0.00 99.94 0.00 0.00 0.00

Store 2000 0.00 0.00 100.00 0.00 0.00 0.00

FAILED ARRIVALS


Name Name Failed

------ -------- ------

Part Arrive 0

ENTITY ACTIVITY





------ ----- --------- -------- -------- --------- --------- --------

Part 24000 1 2.873002 0.000000 0.000000 2.873002 0.000000


% %



------ ------- --------- ------------ -------

Part 0.00 0.00 100.00 0.00

VARIABLES

Average

Variable Total Minutes Minimum Maximum Current Average

Name Changes Per Change Value Value Value Value

------------- ------- ---------- ------- ------- ------- -------

Part Per Year 24000 4.999889 0 24000 24000 11999.9

LAB6.8

--------------------------------------------------------------------------------

General Report


Date: Nov/16/2003 Time: 06:32:40 PM

--------------------------------------------------------------------------------





--------------------------------------------------------------------------------

LOCATIONS

Average



----------- --------- -------- -------- ---------- ----------- -------- -------- ------

Arrive1 8 999999 75 0.000000 0 5 0 0.00 (Average)

Arrive1 0 0 0 0.000000 0 0 0 0.00 (Std. Dev.)

QueueA1 8 999999 150 280.695209 87.7173 120.76 95.09 0.01 (Average)

QueueA1 0 0 0 19.766918 6.17716 5.33924 2.80366 0.00 (Std. Dev.)

Assembly1 8 1 54.91 8.763523 0.999917 1 1 99.99 (Average)

Assembly1 0 0 2.80366 0.449480 1.78531e-15 0 0 0.00 (Std. Dev.)

QueueS1 8 999999 53.91 175.958953 19.7685 40.29 40.17 0.00 (Average)

QueueS1 0 0 2.80366 8.378575 1.47165 2.99931 2.95438 0.00 (Std. Dev.)

S1 8 1 13.74 34.596103 0.984449 1 1 98.44 (Average)

S1 0 0 1.0695 2.669630 0.00264208 0 0 0.26 (Std. Dev.)

QueueP1 8 999999 12.74 65.941946 1.7803 3.63 2.92 0.00 (Average)

QueueP1 0 0 1.0695 20.052607 0.640333 1.08855 1.22003 0.00 (Std. Dev.)

P1 8 1 9.82 44.593302 0.908627 1 1 90.86 (Average)

P1 0 0 0.657206 2.856355 0.0187881 0 0 1.88 (Std. Dev.)

QueueI1 8 999999 8.82 0.065937 0.00121156 1 0.01 0.00 (Average)

QueueI1 0 0 0.657206 0.000633 9.08164e-05 0 0.1 0.00 (Std. Dev.)

Inspection1 8 1 8.81 0.000000 0 1 0 0.00 (Average)

Inspection1 0 0 0.662029 0.000000 0 0 0 0.00 (Std. Dev.)

Arrive2 8 999999 75 0.000000 0 3 0 0.00 (Average)

Arrive2 0 0 0 0.000000 0 0 0 0.00 (Std. Dev.)


% |



-------- --------- ------ --------- ---- | ----

Arrive1 8 100.00 0.00 0.00 | 0.00 (Average)

Arrive1 0 0.00 0.00 0.00 | 0.00 (Std. Dev.)

QueueA1 8 0.00 100.00 0.00 | 0.00 (Average)

QueueA1 0 0.00 0.00 0.00 | 0.00 (Std. Dev.)

QueueS1 8 3.05 96.95 0.00 | 0.00 (Average)

QueueS1 0 0.36 0.36 0.00 | 0.00 (Std. Dev.)

QueueP1 8 21.80 78.20 0.00 | 0.00 (Average)

QueueP1 0 8.84 8.84 0.00 | 0.00 (Std. Dev.)

QueueI1 8 99.88 0.12 0.00 | 0.00 (Average)

QueueI1 0 0.01 0.01 0.00 | 0.00 (Std. Dev.)

Arrive2 8 100.00 0.00 0.00 | 0.00 (Average)

Arrive2 0 0.00 0.00 0.00 | 0.00 (Std. Dev.)




----------- --------- --------- ----- ------ ------- ------- ----

Assembly1 8 99.99 0.00 0.01 0.00 0.00 0.00 (Average)

Assembly1 0 0.00 0.00 0.00 0.00 0.00 0.00 (Std. Dev.)

S1 8 98.44 0.00 1.56 0.00 0.00 0.00 (Average)

S1 0 0.26 0.00 0.26 0.00 0.00 0.00 (Std. Dev.)

P1 8 90.86 0.00 9.14 0.00 0.00 0.00 (Average)

P1 0 1.88 0.00 1.88 0.00 0.00 0.00 (Std. Dev.)

Inspection1 8 0.00 0.00 100.00 0.00 0.00 0.00 (Average)

Inspection1 0 0.00 0.00 0.00 0.00 0.00 0.00 (Std. Dev.)

FAILED ARRIVALS


Name Name Failed

------ -------- ------

Parte1 Arrive1 0 (Average)

Parte1 Arrive1 0 (Std. Dev.)

Parte2 Arrive2 0 (Average)

Parte2 Arrive2 0 (Std. Dev.)

ENTITY ACTIVITY





------ -------- --------- ---------- -------- --------- --------- ----------

Parte1 5.17 69.83 217.225750 0.000000 0.000000 98.040432 119.185318 (Average)

Parte1 0.403395 0.403395 17.814737 0.000000 0.000000 5.365111 16.980916 (Std. Dev.)

Parte2 3.64 71.36 401.033407 0.000000 0.000000 82.412344 318.621063 (Average)

Parte2 0.703814 0.703814 17.842516 0.000000 0.000000 6.015702 19.267259 (Std. Dev.)


% %



------ ------- --------- ------------ -------

Parte1 0.00 0.00 45.37 54.63 (Average)

Parte1 0.00 0.00 3.69 3.69 (Std. Dev.)

Parte2 0.00 0.00 20.60 79.40 (Average)

Parte2 0.00 0.00 1.88 1.88 (Std. Dev.)

VARIABLES

Average

Variable Total Minutes Minimum Maximum Current Average

Name Changes Per Change Value Value Value Value

---------- -------- ---------- ------- -------- -------- --------

Total Job1 5.17 66.761178 0 5.17 5.17 2.81837 (Average)

Total Job1 0.403395 5.945749 0 0.403395 0.403395 0.171004 (Std. Dev.)

Total Job2 3.64 126.760062 0 3.64 3.64 0.587893 (Average)

Total Job2 0.703814 19.400069 0 0.703814 0.703814 0.159661 (Std. Dev.)

LAB6.11.a

--------------------------------------------------------------------------------

General Report

Output from C:\ProMod4\models\LAB11.a.MOD

Date: Nov/16/2003 Time: 01:55:08 AM

--------------------------------------------------------------------------------





--------------------------------------------------------------------------------

LOCATIONS

Average

Location Scheduled Total Seconds Average Maximum Current


-------- --------- -------- ------- ----------- --------- -------- -------- ------

Arrive 8 999999 477.6 0.000000 0 1.03 0 0.00 (Average)

Arrive 0 0 22.5545 0.000000 0 0.171447 0 0.00 (Std. Dev.)

HandD 8 999999 241.15 1754.140135 15.1085 33.02 28.25 0.00 (Average)

HandD 0 0 17.3708 907.085855 8.6405 15.0628 16.9464 0.00 (Std. Dev.)

H 8 999999 142.54 358.636432 1.80611 7.49 1.82 0.00 (Average)

H 0 0 11.3835 122.357207 0.741175 2.34626 2.03197 0.00 (Std. Dev.)

D 8 999999 93.91 49.608401 0.162746 2.95 0.2 0.00 (Average)

D 0 0 9.94946 7.671334 0.0353061 0.687184 0.471405 0.00 (Std. Dev.)

Clerk1 8 1 353.62 80.019063 0.982164 1 0.99 98.22 (Average)

Clerk1 0 0 8.93837 1.611320 0.0176794 0 0.1 1.77 (Std. Dev.)

Clerk2 8 1 305.86 69.912714 0.742485 1 0.64 74.25 (Average)

Clerk2 0 0 8.79051 0.299301 0.0216684 0 0.482418 2.17 (Std. Dev.)


% |



-------- --------- ------ --------- ---- | ----

Arrive 8 100.00 0.00 0.00 | 0.00 (Average)

Arrive 0 0.00 0.00 0.00 | 0.00 (Std. Dev.)

HandD 8 6.43 93.57 0.00 | 0.00 (Average)

HandD 0 5.50 5.50 0.00 | 0.00 (Std. Dev.)

H 8 29.69 70.31 0.00 | 0.00 (Average)

H 0 7.44 7.44 0.00 | 0.00 (Std. Dev.)

D 8 86.02 13.98 0.00 | 0.00 (Average)

D 0 2.47 2.47 0.00 | 0.00 (Std. Dev.)




-------- --------- --------- ----- ----- ------- ------- ----

Clerk1 8 85.87 0.00 1.78 0.00 12.34 0.00 (Average)

Clerk1 0 2.16 0.00 1.77 0.00 1.73 0.00 (Std. Dev.)

Clerk2 8 74.25 0.00 25.75 0.00 0.00 0.00 (Average)

Clerk2 0 2.17 0.00 2.17 0.00 0.00 0.00 (Std. Dev.)

FAILED ARRIVALS


Name Name Failed

-------- -------- ------

Customer Arrive 0 (Average)

Customer Arrive 0 (Std. Dev.)

ENTITY ACTIVITY


Current Seconds Seconds Seconds Seconds Seconds



-------- ------- --------- ----------- -------- ---------- ---------- ----------

Customer 445.7 31.9 1059.947725 0.000000 830.552937 107.284489 122.110299 (Average)

Customer 9.70525 16.9911 428.010894 0.000000 424.199628 1.847473 6.665223 (Std. Dev.)


% %



-------- ------- --------- ------------ -------

Customer 0.00 74.54 12.02 13.44 (Average)

Customer 0.00 10.47 5.27 5.22 (Std. Dev.)

LAB6.12.a

--------------------------------------------------------------------------------

General Report

Output from C:\ProMod4\models\LAB12.a.mod

Date: Nov/17/2003 Time: 01:41:22 AM

--------------------------------------------------------------------------------




--------------------------------------------------------------------------------

LOCATIONS

Average



-------- --------- -------- ------- --------- -------- -------- -------- ------

Queue 24 999999 260 0.601554 0.108614 1 0 10.64

Clerk1 24 1 103 10.022359 0.716877 1 1 71.69

Clerk2 24 1 87 9.902644 0.598285 1 1 59.83

Clerk3 24 1 70 10.277486 0.4996 1 1 49.96


% |



-------- --------- ----- --------- ---- | ----

Queue 24 89.14 10.86 0.00 | 0.00




-------- --------- --------- ----- ----- ------- ------- ----

Clerk1 24 71.69 0.00 28.31 0.00 0.00 0.00

Clerk2 24 59.83 0.00 40.17 0.00 0.00 0.00

Clerk3 24 49.96 0.00 50.04 0.00 0.00 0.00

FAILED ARRIVALS


Name Name Failed

------ -------- ------

Worker Queue 33

ENTITY ACTIVITY





------ ----- --------- --------- -------- --------- --------- --------

Worker 257 3 10.711887 0.000000 0.000000 10.123545 0.588342


% %



------ ------- --------- ------------ -------

Worker 0.00 0.00 94.51 5.49

LAB6.12.b

--------------------------------------------------------------------------------

General Report

Output from C:\ProMod4\models\LAB12.b.MOD

Date: Nov/17/2003 Time: 02:05:14 AM

--------------------------------------------------------------------------------




--------------------------------------------------------------------------------

LOCATIONS

Average



-------- --------- -------- ------- --------- -------- -------- -------- ------

Arrive 24 999999 296 0.000000 0 1 0 0.00

Queue1 24 999999 132 7.889568 0.72321 3 1 7.29

Queue2 24 999999 101 5.756465 0.403752 3 0 4.04

Queue3 24 999999 63 4.445683 0.194499 2 0 0.00

Clerk1 24 1 131 10.226573 0.930334 1 1 93.03

Clerk2 24 1 101 9.891921 0.693808 1 0 69.38

Clerk3 24 1 63 10.133762 0.443352 1 1 44.34


% |



-------- --------- ------ --------- ---- | ----

Arrive 24 100.00 0.00 0.00 | 0.00

Queue1 24 38.03 61.97 0.00 | 0.00

Queue2 24 63.12 36.88 0.00 | 0.00

Queue3 24 81.65 18.35 0.00 | 0.00




-------- --------- --------- ----- ----- ------- ------- ----

Clerk1 24 93.03 0.00 6.97 0.00 0.00 0.00

Clerk2 24 69.38 0.00 30.62 0.00 0.00 0.00

Clerk3 24 44.34 0.00 55.66 0.00 0.00 0.00

FAILED ARRIVALS


Name Name Failed

------ -------- ------

Worker Arrive 0

ENTITY ACTIVITY





------ ----- --------- --------- -------- --------- --------- --------

Worker 293 3 16.481328 0.000000 0.000000 11.286345 5.194983


% %



------ ------- --------- ------------ -------

Worker 0.00 0.00 68.48 31.52

LAB6.12.c

--------------------------------------------------------------------------------

General Report

Output from C:\ProMod4\models\LAB12.b.MOD

Date: Nov/17/2003 Time: 01:46:27 AM

--------------------------------------------------------------------------------




--------------------------------------------------------------------------------

LOCATIONS

Average



-------- --------- -------- ------- --------- ----------- -------- -------- ------

Arrive 24 999999 282 0.000018 3.47222e-06 1 0 0.00

Queue1 24 999999 92 7.445859 0.475708 4 0 4.80

Queue2 24 999999 83 10.199675 0.587898 6 0 5.88

Queue3 24 999999 107 11.206224 0.832685 6 0 0.00

Clerk1 24 1 92 9.900793 0.632551 1 1 63.26

Clerk2 24 1 83 10.180747 0.586807 1 1 58.68

Clerk3 24 1 107 10.143028 0.753683 1 0 75.37


% |



-------- --------- ------ --------- ---- | ----

Arrive 24 100.00 0.00 0.00 | 0.00

Queue1 24 66.70 33.30 0.00 | 0.00

Queue2 24 67.42 32.58 0.00 | 0.00

Queue3 24 53.79 46.21 0.00 | 0.00




-------- --------- --------- ----- ----- ------- ------- ----

Clerk1 24 63.26 0.00 36.74 0.00 0.00 0.00

Clerk2 24 58.68 0.00 41.32 0.00 0.00 0.00

Clerk3 24 75.37 0.00 24.63 0.00 0.00 0.00

FAILED ARRIVALS


Name Name Failed

------ -------- ------

Worker Arrive 0

ENTITY ACTIVITY





------ ----- --------- --------- -------- --------- --------- --------

Worker 280 2 19.794539 0.000000 0.000000 12.504414 7.290125


% %



------ ------- --------- ------------ -------

Worker 0.00 0.00 63.17 36.83

ejercicios promodel

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