Skip to main content
SpringerLink
Log in

Maintenance and Production: A Review of Planning Models

  • Chapter
Complex System Maintenance Handbook

Part of the book series: Springer Series in Reliability Engineering ((RELIABILITY))

Abstract

Maintenance is the set of activities carried out to keep a system into a condition where it can perform its function. Quite often these systems are production systems where the outputs are products and/or services. Some maintenance can be done during production and some can be done during regular production stops in evenings, weekends and on holidays. However, in many cases production units need to be shut down for maintenance. This may lead to tension between the production and maintenance department of a company. On one hand the production department needs maintenance for the long-term well-being of its equipment, on the other hand it leads to shutting down the operations and loss of production. It will be clear that both can benefit from decision support based on mathematical models.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 169.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 219.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

13.10 References

  • Al-Zubaidi H, Christer A, (1997) Maintenance manpower modelling for a hospital building complex. European Journal of Operational Research 99:603–618

    Article  MATH  Google Scholar 

  • Ashayeri J, Teelen A, Selen W, (1996) A production and maintenance planning model for the process industry. International Journal of Production Research 34: 3311–3326

    Article  MATH  Google Scholar 

  • Bäckert W, Rippin D, (1985) The determination of maintenance strategies for plants subject to breakdown. Computers and Chemical Engineering 9(2):113–126

    Article  Google Scholar 

  • Ben-Daya M, Makhdoum M, (1998) Integrated production and quality model under various preventive maintenance policies. Journal of the Operational Research Society 49(8):840–853

    Article  MATH  Google Scholar 

  • Ben-Daya M, Rahim M, (2001) Integrated production, quality & maintenance models: an overview. in M. Rahim and M. Ben-Daya (eds), Integrated models in production planning, inventory, quality, and maintenance, Kluwer Academic Publishers, 3–28

    Google Scholar 

  • Bengü G, (1994) Telecommunications systems maintenance. Computers and Operations Research 21:337–351

    Article  MATH  Google Scholar 

  • Budai G, Huisman D, Dekker R, (2006) Scheduling preventive railway maintenance activities. Journal of the Operational Research Society 57:1035–1044

    Article  MATH  Google Scholar 

  • Cassady C, Pohl E, Murdock W, (2001) Selective maintenance modeling for industrial systems. Journal of Quality in Maintenance Engineering 7(2):104–117

    Article  Google Scholar 

  • Charles A, Floru I, Azzaro-Pantel C, Pibouleau L, Domenech S, (2003) Optimization of preventive maintenance strategies in a multipurpose batch plant: application to semiconductor manufacturing. Computers and Chemical Engineering 27:449–467

    Article  Google Scholar 

  • Chelbi A, Ait-Kadi D, (2004) Analysis of a production/inventory system with randomly failing production unit submitted to regular preventive maintenance. European Journal of Operational Research 156:712–718

    Article  MathSciNet  MATH  Google Scholar 

  • Cheung B, Chow K, Hui L, Yong A, (1999) Railway track possession assignment using constraint satisfaction. Engineering Applications of AI 12(5):599–611

    Article  Google Scholar 

  • Cheung K, Hui C, Sakamoto H, Hirata K, O’Young L, (2004) Short-term site-wide maintenance scheduling. Computers and Chemical Engineering 28:91–102

    Article  Google Scholar 

  • Cho D, Parlar M, (1991) A survey of maintenance models for multi-unit systems. European Journal of Operational Research 51:1–23

    Article  Google Scholar 

  • Chung K, (2003) Approximations to production lot sizing with machine breakdowns. Computers & Operations Research 30:1499–1507

    Article  MATH  Google Scholar 

  • Cobb R, (1995) Modeling aircraft repair turntime: simulation supports maintenance marketing. Journal of Air Transport Management 2:25–32

    Article  Google Scholar 

  • Cohn A, Barnhart C, (2003) Improving crew scheduling by incorporating key maintenance routing decisions. Operations Research 51(3):387–396

    MathSciNet  MATH  Google Scholar 

  • Dagpunar J, (1996) A maintenance model with opportunities and interrupt replacement options. Journal of the Operational Research Society 47:1406–1409

    Article  MATH  Google Scholar 

  • Das T, Sarkar S, (1999) Optimal preventive maintenance in a production inventory. IIE Transactions 31:537–551

    Google Scholar 

  • Dedopoulos L, Shah N, (1995) Preventive maintenance policy optimisation for multipurpose plant equipment. Computers and Chemical Engineering 19:693–698

    Article  Google Scholar 

  • Dekker R, Budai G, (2002) An overview of techniques used in planning railway infrastructure maintenance. In Geraerds W, Sherwin D, (eds), Proceedings of IFRIMmmm (maintenance management and modelling) conference, Vaxjo University, Sweden, 1–8

    Google Scholar 

  • Dekker R, Dijkstra M, (1992) Opportunity-based age replacement: exponentially distributed times between opportunities. Naval Research Logistics 39:175–190

    Article  MATH  Google Scholar 

  • Dekker R, Plasmeijer R, (2001) Multi-parameter maintenance optimisation via the marginal cost approach. Journal of the Operational Research Society 52:188–197

    Article  MATH  Google Scholar 

  • Dekker R, Smeitink E, (1991) Opportunity-based block replacement, European Journal of Operational Research 53:46–63

    Article  MATH  Google Scholar 

  • Dekker R, Smeitink E, (1994) Preventive maintenance at opportunities of restricted duration. Naval Research Logistics 41:335–353

    Article  MathSciNet  MATH  Google Scholar 

  • Dekker R, van Rijn C, (1996) Prompt-a decision support system for opportunity based preventive maintenance. In Özekici S, (ed) Reliability and Maintenance of Complex Systems, NATO ASI series 154:530–549

    Google Scholar 

  • Dekker R, Plasmeijer R, Swart J, (1998a) Evaluation of a new maintenance concept for the preservation of highways. IMA Journal of Mathematics applied in Business and Industry 9:109–156

    MATH  Google Scholar 

  • Dekker R, van der Meer J, Plasmeijer R, Wildeman R, (1998b) Maintenance of light-standards-a case-study. Journal of the Operational Research Society 49:132–143

    Article  MATH  Google Scholar 

  • Den Hertog D, van Zante-de Fokkert J, Sjamaar S, Beusmans R, (2005) Optimal working zone division for safe track maintenance in the Netherlands. Accident Analysis and Prevention 37:890–893

    Article  Google Scholar 

  • Dijkstra M, Kroon L, Salomon M, van Nunen J, van Wassenhoven L, (1994) Planning the size and organization of KLM’s aircraft maintenance personnel. Interfaces 24:47–58

    Google Scholar 

  • Edwards D, Holt G, Harris F, (2002) Predicting downtime costs of tracked hydraulic excavators operating in the UK opencast mining industry. Construction Management & Economics 20:581–591

    Article  Google Scholar 

  • Esveld C, (2001) Modern Railway Track. MRT-Productions, Zaltbommel, The Netherlands

    Google Scholar 

  • Feo T, Bard J, (1989) Flight scheduling and maintenance base planning. Management Science 35(12):1415–1432

    MathSciNet  Google Scholar 

  • Finch B, Gilbert J, (1986) Developing maintenance craft labor efficiency through an integrated planning and control system: a prescriptive model. Journal of Operations Management 6(4):449–459

    Article  Google Scholar 

  • Frost D, Dechter R, (1998) Optimizing with constraints: a case study in scheduling maintenance of electric power units. Lecture Notes in Computer Science 1520:469–488

    Article  Google Scholar 

  • Geraerds W, (1985) The cost of downtime for maintenance: preliminary considerations. Maintenance Management International 5:13–21

    Google Scholar 

  • Gharbi A, Kenne J, (2000) Production and preventive maintenance rates control for a manufacturing system: an experimental design approach. International Journal of Production Economics 65:275–287

    Article  Google Scholar 

  • Gharbi A, Kenne J, (2005) Maintenance scheduling and production control of multiple-machine manufacturing systems. Computers and Industrial Engineering 48:693–707

    Article  Google Scholar 

  • Goel H, Grievink J, Weijnen M, (2003) Integrated optimal reliable design, production, and maintenance planning for multipurpose process plant. Computers and Chemical Engineering 27:1543–1555

    Article  Google Scholar 

  • Gopalan R, Talluri K, (1998) Mathematical models in airline schedule planning: a survey. Annals of Operations Research 76(1): 155–185

    Article  MATH  Google Scholar 

  • Groenevelt H, Pintelon L, Seidmann A, (1992a) Production batching with machine breakdowns and safety stocks. Operations Research 40(5):959–971

    MATH  Google Scholar 

  • Groenevelt H, Pintelon L, Seidmann A, (1992b) Production lot sizing with machine breakdowns. Management Science 48(1):104–123

    Google Scholar 

  • Haghani A, Shafahi Y, (2002) Bus maintenance systems and maintenance scheduling: model formulations and solutions. Transportation Research Part A 36:453–482

    Google Scholar 

  • Higgins A, (1998) Scheduling of railway maintenance activities and crews. Journal of the Operational Research Society 49:1026–1033

    Article  Google Scholar 

  • Improverail (2002) http://www.tis.pt/proj/improverail/downloads/d6final.pdf (accessed September 26, 2006)

    Google Scholar 

  • Iravani S, Duenyas I, (2002) Integrated maintenance and production control of a deteriorating production system. IIE Transactions 34:423–435

    Google Scholar 

  • Kenne J, Boukas E, (2003) Hierarchical control of production and maintenance rates in manufacturing systems. Journal of Quality in Maintenance Engineering 9:66–82

    Article  Google Scholar 

  • Kenne J, Boukas E, Gharbi A, (2003) Control of production and corrective maintenance rates in a multiple-machine, multiple-product manufacturing system. Mathematical and Computer Modelling 38:351–365

    Article  MathSciNet  MATH  Google Scholar 

  • Kenne J, Gharbi A, Beit M, (2006) Age-dependent production planning and maintenance strategies in unreliable manufacturing systems with lost sale. Accepted for publication in European Journal of Operational Research 178(2):408–420

    Article  Google Scholar 

  • Kianfar F, (2005) A numerical method to approximate optimal production and maintenance plan in a flexible manufacturing system. Applied Mathematics and Computation 170:924–940

    Article  MathSciNet  MATH  Google Scholar 

  • Knight P, Jullian F, Jofre L, (2005) Assessing the “size” of the prize: developing business cases for maintenance improvement projects. Proceedings of the International Physical Asset Management Conference, 284–302

    Google Scholar 

  • Kralj B, Petrovic R, (1988) Optimal preventive maintenance scheduling of thermal generating units in power systems — a survey of problem formulations and solution methods. European Journal of Operational Research 35:1–15

    Article  Google Scholar 

  • Kyriakidis E, Dimitrakos T, (2006) Optimal preventive maintenance of a production system with an intermediate buffer. European Journal of Operational Research 168:86–99

    Article  MathSciNet  MATH  Google Scholar 

  • Lam K, Rahim M, (2002) A sensitivity analysis of an integrated model for joint determination of economic design of \( \bar x \)-control charts, economic production quantity and production run length for a deteriorating production system. Quality and Reliability Engineering International 18:305–320

    Article  Google Scholar 

  • Langdon W, Treleaven P, (1997) Scheduling maintenance of electrical power transmission networks using genetic programming. In Warwick K, Ekwue A, Aggarwal A, (eds), Artificial intelligence techniques in power systems, Institution of Electrical Engineers, Stevenage, UK, 220–237

    Google Scholar 

  • Lee H, (2005) A cost/benefit model for investments in inventory and preventive maintenance in an imperfect production system. Computers and Industrial Engineering 48:55–68

    Article  Google Scholar 

  • Lee H, Rosenblatt M, (1987) Simultaneous determination of production cycle and inspection schedules in a production system. Management Science 33:1125–1137

    MATH  Google Scholar 

  • Lee H, Rosenblatt M, (1989) A production and maintenance planning model with restoration cost dependent on detection delay. IIE Transactions 21(4):368–375

    Article  Google Scholar 

  • Lee H, Srinivasan M, (2001) A production/inventory policy for an unreliable machine. In Rahim M, Ben-Daya M, (eds) Integrated models in production planning, inventory, quality, and maintenance, Kluwer Academic Publishers, 79–94

    Google Scholar 

  • Lin G, Gong D, (2006) On a production-inventory system of deteriorating items subject to random machine breakdowns with a fixed repair time. Mathematics and Computer Modelling 43:920–932

    Article  MathSciNet  MATH  Google Scholar 

  • Makis V, Fung J, (1995) Optimal preventive replacement, lot sizing and inspection policy for a deteriorating production system. Journal of Quality in Maintenance Engineering, 1(4): 41–55

    Article  Google Scholar 

  • Moudani WE, Mora-Camino F, (2000) A dynamic approach for aircraft assignment and maintenance scheduling by airlines. Journal of Air Transport Management 6:233–237

    Article  Google Scholar 

  • Nahmias S, (2005) Production and operations analysis (5th ed). McGraw-Hill, Boston

    Google Scholar 

  • Okamura H, Dohi T, Osaki S, (2001) Computation algorithms of cost-effective EMQ policies with PM. In Rahim M, Ben-Daya M, (eds) Integrated models in production planning, inventory, quality, and maintenance, Kluwer Academic Publishers, 31–65

    Google Scholar 

  • Pistikopoulos E, Vassiliadis C, Papageorgiou L, (2000) Process design for maintainability: an optimization approach. Computers and Chemical Engineering 24:203–208

    Article  Google Scholar 

  • Rahim M, (1994) Joint determination of production quantity, inspection schedule, and control chart design. IIE Transactions, 26(6), 2–11

    Article  Google Scholar 

  • Rahim M, Ben-Daya M, (1998) A generalized economic model for joint determination of production run, inspection schedule and control chart design. International Journal of Production Research 36:277–289

    Article  MATH  Google Scholar 

  • Rahim M, Ben-Daya M, (2001) Joint determination of production quantity, inspection schedule, and quality control for an imperfect process with deteriorating products. Journal of the Operational Research Society 52(12):1370–1378

    Article  MATH  Google Scholar 

  • Rosa L, Feiring B, (1995) Layout problem for an aircraft maintenance company tool room. International Journal of Production Economics 40:219–230

    Article  Google Scholar 

  • Rose G, Bennett D, (1992) Locating and sizing road maintenance depots. European Journal of Operations Research 63:151–163

    Article  Google Scholar 

  • Sarper H, (1993) Scheduling for the maintenance of completely processed low-demand large items. Applied Mathematical Modelling 17:321–328

    Article  MATH  Google Scholar 

  • Shenoy D, Bhadury B, (1993) MRSRP — a tool for manpower resources and spares requirements planning. Computers and Industrial Engineering 24:421–439

    Article  Google Scholar 

  • Srinivasan M, Lee H, (1996) Production-inventory systems with preventive maintenance. IIE Transactions 28:879–890

    Google Scholar 

  • Sriram C, Haghani A, (2003) An optimization model for aircraft maintenance scheduling and re-assignment. Transportation Research Part A 37:29–48

    Google Scholar 

  • Tagaras G, (1988) An integrated cost model for the joint optimization of process control and maintenance. Journal of the Operational Research Society 39(8):757–766

    Article  MATH  Google Scholar 

  • Tan J, Kramer M, (1997) A general framework for preventive maintenance optimization in chemical process operations. Computers and Chemical Engineering 21(12):1451–1469

    Article  Google Scholar 

  • Tseng S, (1996) Optimal preventive maintenance policy for deteriorating production systems. IIE Transactions 28:687–694

    Google Scholar 

  • Van der Duyn Schouten F, Vanneste S, (1995) Maintenance optimization of a production system with buffer capacity. European Journal of Operational Research 82:323–338

    Article  MATH  Google Scholar 

  • Van der Duyn Schouten F, van Vlijmen B, Vos de Wael S, (1998) Replacement policies for traffic control signals. IMA Journal of Mathematics Applied in Business and Industry 9:325–346

    MATH  Google Scholar 

  • Van Dijkhuizen G, (2000) Maintenance grouping in multi-setup multi-component production systems. In Ben-Daya M, Duffuaa M, Raouf A, (eds) Maintenance, Modeling and Optimization, Kluwer Academic Publishers, 283–306

    Google Scholar 

  • Van Zante-de Fokkert J, den Hertog D, van den Berg F, Verhoeven J, (2001) Safe track maintenance for the Dutch Railways, Part II: Maintenance schedule. Technical report, Tilburg University, the Netherlands

    Google Scholar 

  • Vatn J, Hokstad P, Bodsberg L, (1996) An overall model for maintenance optimization. Reliability Engineering and System Safety 51:241–257

    Article  Google Scholar 

  • Vaurio J, (1999) Availability and cost functions for periodically inspected preventively maintained units. Reliability Engineering and System Safety 63:133–140

    Article  Google Scholar 

  • Wang C, (2006) Optimal production and maintenance policy for imperfect production systems. Naval Research Logistics 53:151–156

    Article  MathSciNet  MATH  Google Scholar 

  • Wang C, Sheu S, (2003) Determining the optimal production-maintenance policy with inspection errors: using a Markov chain. Computers & Operations Research 30:1–17

    Article  MathSciNet  Google Scholar 

  • Weinstein L, Chung C, (1999) Integrating maintenance and production decisions in a hierarchical production planning environment. Computers & Operations Research 26:1059–1074

    Article  MATH  Google Scholar 

  • Wijnmalen D, Hontelez A, (1997) Coordinated condition-based repair strategies for components of a multi-component maintenance system with discounts. European Journal of Operational Research 98:52–63

    Article  MATH  Google Scholar 

  • Yan S, Yang T, Chen H, (2004) Airline short-term maintenance manpower supply planning. Transportation Research Part A 38:615–642

    Google Scholar 

  • Yao X, Xie X, Fu M, Marcus S, (2005) Optimal joint preventive maintenance and production policies. Naval Research Logistics 52:668–681

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Tinbergen Institute Rotterdam, Rotterdam

    Gabriella Budai (Ph.D. student) & Robin P. Nicolai (Ph.D. student)

  2. Operations Research and Quantitative Logistics, Erasmus University Rotterdam, Rotterdam

    Rommert Dekker (full-time professor)

Authors
  1. Gabriella Budai
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Rommert Dekker
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Robin P. Nicolai
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

Copyright information

© 2008 Springer-Verlag London Limited

About this chapter

Cite this chapter

Budai, G., Dekker, R., Nicolai, R.P. (2008). Maintenance and Production: A Review of Planning Models. In: Complex System Maintenance Handbook. Springer Series in Reliability Engineering. Springer, London. https://doi.org/10.1007/978-1-84800-011-7_13

Download citation

  • DOI: https://doi.org/10.1007/978-1-84800-011-7_13

  • Publisher Name: Springer, London

  • Print ISBN: 978-1-84800-010-0

  • Online ISBN: 978-1-84800-011-7

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics

Search

Navigation