presented by dr. mohsen alardhi college of technological studies, kuwait april 19 th,2009

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Presented By Dr. Mohsen Alardhi College of Technological Studies , Kuwait April 19 th ,2009

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Page 1: Presented By Dr. Mohsen Alardhi College of Technological Studies, Kuwait April 19 th,2009

Presented By

Dr. Mohsen Alardhi

College of Technological Studies , Kuwait

April 19th,2009

Page 2: Presented By Dr. Mohsen Alardhi College of Technological Studies, Kuwait April 19 th,2009

Presentation Agenda

•Research Objectives

•Research Motivation

•Plant Description

•Preventive Maintenance Scheduling Definition

•Preventive Maintenance Scheduling Model

•Simulation Model Results

•Conclusions

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Page 3: Presented By Dr. Mohsen Alardhi College of Technological Studies, Kuwait April 19 th,2009

• To develop, test and validate an integrated decision-making model, for maintenance scheduling in cogeneration plants in order to effectively enhance maintenance scheduling in cogeneration plants using a mathematical model and simulation model

• The proposed models and tools should achieve the following:

Provide Overall system performance

Provide alternative maintenance schedules

Test different maintenance scheduling policies

Provide decision making with a tool for maintenance scheduling

Research Objectives

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Page 4: Presented By Dr. Mohsen Alardhi College of Technological Studies, Kuwait April 19 th,2009

0

100

200

300

400

500

600

700

800

900

1000

CA

PA

CIT

Y M

IGD

SAUDIARAB

KUWAIT UAE USA LIBYA IRAN BAHRAIN QATAR ITALY USSR

DESALINATION CAPACITY FOR TOP 10 COUNTRIES IN ORDER OF CAPACITIES

Research Motivation

4

Page 5: Presented By Dr. Mohsen Alardhi College of Technological Studies, Kuwait April 19 th,2009

Plant Description

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Page 6: Presented By Dr. Mohsen Alardhi College of Technological Studies, Kuwait April 19 th,2009

Zurn and Quintana define the maintenance scheduling (MS) problem as:

"one in which the maintenance outages of each unit have to be scheduled in some optimal way while satisfying a number of constraints, over a planning interval of m periods."

PM - Scheduling definition

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Page 7: Presented By Dr. Mohsen Alardhi College of Technological Studies, Kuwait April 19 th,2009

1- Maintenance Constraints:

Crew constraints

Resource constraints

Allowable maintenance window

Priority or sequence constraints

Maintenance duration bounds

Maintenance completion periods

2- System Constraints:

Unit capacity constraints

Supply/demand constraints

System Modeling- Constraints

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Page 8: Presented By Dr. Mohsen Alardhi College of Technological Studies, Kuwait April 19 th,2009

Preventive maintenance scheduling of cogeneration unit using integer programming method

Decision Variables

1 if the equipment in the unit in plant during period in operational status

0 otherwise rijk

j i r kx

1 if the equipment in the unit in plant is not in maintenance during period

0 otherwise rijk

j i r ky

represent the plant number. 1, 2,3,.......,

represent the unit number. 1, 2,3,.........,

represent the equipment type. 1,...., 3

represents the number of planning horiz

r r R

i i m

j j n n

k

on period . 1, 2,3,....k L

System Modeling- Decision Variables

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Page 9: Presented By Dr. Mohsen Alardhi College of Technological Studies, Kuwait April 19 th,2009

Maintenance Window

1 if or

0 if rijk rij

rijkrij rij

k E k By

E k B

earliest time equipment in the unit in plant can be taken for maintenace

latest time equipment in the unit in plant can be taken for maintenance

rij

rij

E j i r

B j i r

System Modeling- Maintenance Window

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Page 10: Presented By Dr. Mohsen Alardhi College of Technological Studies, Kuwait April 19 th,2009

Maintenance Completion

0 if equipment in the unit in plant starts its maintenance on period

1 otherwise rijk

j i r ks

1

1

1 for 1

1 for rij

k

rijq rij rij rijq

rijk k

rij ijq rij rij rijq k D

k s E k E D

y

D s E D k B

1

1

rij rijB D

rijk rij rijk

s B D

1

rijB

rijk rij rijk

s B E

System Modeling- Maintenance Completion

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Page 11: Presented By Dr. Mohsen Alardhi College of Technological Studies, Kuwait April 19 th,2009

Logical Constraints

1

1,....,

m

rijki

x m u

j n

2 1 ; 1, 2,3,....., , 1, 2,3,...., ri k ri kx y r R i m

2 1 ; 1, 2,3,....., , 1, 2,3,....., ri k ri ky y r R i n

System Modeling- Logical Constraints

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Page 12: Presented By Dr. Mohsen Alardhi College of Technological Studies, Kuwait April 19 th,2009

Resource Constraints

1

(1 ) m

rjk rjkp rjkpi

y M MA

1,2,3,...........,

1, 2,3,..........,

1, 2,3,..........,

1, 2, ,..........., , 3

r R

k L

p p

j n n

System Modeling- Resource Constraints

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Page 13: Presented By Dr. Mohsen Alardhi College of Technological Studies, Kuwait April 19 th,2009

Maintenance Crew

1

(1 ) m

rijk rjk rjki

y C CA

1,2,3,.........,

1, 2,3,.........,

1, 2,3,..........,

r R

k L

j n

System Modeling- Maintenance Crew

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Page 14: Presented By Dr. Mohsen Alardhi College of Technological Studies, Kuwait April 19 th,2009

Efficiency Constraints

1

0 ritk r rijk

rijkritk r rijk

pw MW ff

pw MW DMW f

2ritk ridk ritkx x f

System Modeling- Efficiency Constraints

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Page 15: Presented By Dr. Mohsen Alardhi College of Technological Studies, Kuwait April 19 th,2009

Demand Constraints

ritk ritk ritkpw A x

ridk ridk ridkw B x

1

m

ritk ki

pw DV

11

1 min1

1 max1

m

k ridk k ki

m

k ridk ki

m

k ridk ki

w w DW w

w w DW w

w w DW w

System Modeling- Demand Constraints

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Page 16: Presented By Dr. Mohsen Alardhi College of Technological Studies, Kuwait April 19 th,2009

mR

r 1 i 1 1 1

Max. rijk

n L

j k

x

Objective Function

System Modeling- Objective Function

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Page 17: Presented By Dr. Mohsen Alardhi College of Technological Studies, Kuwait April 19 th,2009

0200400600800

10001200140016001800200022002400

1 4 7 10 13 16 19 22 25 28 31 34 37 40 43 46 49 52

WEEKS

MW

generator capacity on maintenance Available MW Electricity Demand

Unit system output summary (weekly loads of electricity and gross reserves for 14 units)

System Modeling- Output

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Page 18: Presented By Dr. Mohsen Alardhi College of Technological Studies, Kuwait April 19 th,2009

0102030405060708090

100110120130140150

1 4 7 10 13 16 19 22 25 28 31 34 37 40 43 46 49 52

WEEKS

MW

distiller capacity on maintenace Available MGID Water Demand

Unit system output summary (weekly loads of water and gross reserves for 14 units)

System Modeling- Output

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Page 19: Presented By Dr. Mohsen Alardhi College of Technological Studies, Kuwait April 19 th,2009

Start

Formulate a hypothesis

Develop a simulation

model

Run simulation experiment

Hypothesis correct

End

Yes

No

SIMULATION Model- FLOW CHART

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Page 20: Presented By Dr. Mohsen Alardhi College of Technological Studies, Kuwait April 19 th,2009

Determine number of unitsAssign unite to Preventive maintenance scheduling

Determine units to be available

Generate demand for water and electricity

Assign demand to plants

Assign to units

Performance measure

SIMULATION Model- FLOW CHART

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Page 21: Presented By Dr. Mohsen Alardhi College of Technological Studies, Kuwait April 19 th,2009

SIMULATION Model- FLOW CHART

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Page 22: Presented By Dr. Mohsen Alardhi College of Technological Studies, Kuwait April 19 th,2009

SIMULATION Model- RESULTS

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Page 23: Presented By Dr. Mohsen Alardhi College of Technological Studies, Kuwait April 19 th,2009

SIMULATION Model- RESULTS

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Page 24: Presented By Dr. Mohsen Alardhi College of Technological Studies, Kuwait April 19 th,2009

SIMULATION Model- RESULTS

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Page 25: Presented By Dr. Mohsen Alardhi College of Technological Studies, Kuwait April 19 th,2009

Averaged simulation model output under random demand and equipment breakdown for weekly demand and production of

electricity and gross reserve for 4 units input data from the linear integer programming model

SIMULATION Model- RESULTS

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Page 26: Presented By Dr. Mohsen Alardhi College of Technological Studies, Kuwait April 19 th,2009

Averaged simulation model output under random demand and equipment breakdown for weekly demand and production of water and gross reserve for 4 units input data from the linear

integer programming model

SIMULATION Model- RESULTS

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Page 27: Presented By Dr. Mohsen Alardhi College of Technological Studies, Kuwait April 19 th,2009

Averaged simulation model output for state of each equipment for linear integer

programming model

SIMULATION Model- RESULTS

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Page 28: Presented By Dr. Mohsen Alardhi College of Technological Studies, Kuwait April 19 th,2009

•A single objective integer programming model has been developed which aims to maximize the availability of units

•Discrete event simulation model has been developed

•Link between the integer programming and simulation model illustrate

Conclusions

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Page 29: Presented By Dr. Mohsen Alardhi College of Technological Studies, Kuwait April 19 th,2009

Any Questions

Thanks

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Page 30: Presented By Dr. Mohsen Alardhi College of Technological Studies, Kuwait April 19 th,2009

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Page 31: Presented By Dr. Mohsen Alardhi College of Technological Studies, Kuwait April 19 th,2009

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