Skip to main content
SpringerLink
Log in

Modeling product-mix planning for batches of melt under multiple objectives in a small scale iron foundry

  • Production Management
  • Published:
Production Engineering Aims and scope Submit manuscript

Abstract

Product-mix of castings of different types/sizes can be produced in a heat (batch of melt) if all these castings require similar raw material composition. However, inappropriate product-mix may lead to under utilization of furnace capacity or failure in timely delivery or overproduction of castings or may call for deployment of excess resources for packing of molds to enable starting of the pouring operation in time. Some objectives, again, can be conflicting in nature. This paper presents a weighted integer goal programming model for the product-mix planning, developed in the context of a small scale iron foundry. Implementation of the model is illustrated using real life data from an Indian foundry.

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

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1

Similar content being viewed by others

References

  1. Ashayeri J, Selen W (2003) A production planning model and a case study for the pharmaceutical industry in The Netherlands. J Logist Res Appl 6:37–50

    Google Scholar 

  2. Goodman DA (1974) A goal programming approach to aggregate planning of production and work force. Manage Sci 20:1569–1575

    Article  MATH  Google Scholar 

  3. Greenberg HJ (1998) An annotated bibliography for post-solution analysis in mixed integer and combinatorial optimization. In: Woodruff DL (ed) Advances in computational and stochastic optimization, logic programming and heuristic search. Kluwer, Dordrecht

    Google Scholar 

  4. Holt CC, Modigliani F, Simmon HR (1955) A linear decision rule fro production and employment scheduling. Manage Sci 2:1–30

    Article  Google Scholar 

  5. Lee SM (1972) Goal programming for decision analysis. Auerback publishers, Philadelphia

    Google Scholar 

  6. Ignizio JP (1978) A review of goal programming: a tool for multiobjective analysis. J Oper Res Soc 29:1109–1119

    Article  MATH  Google Scholar 

  7. LINDO Systems Inc. (1996) LINDO user’s manual. LINDO Systems Inc., Chicago

    Google Scholar 

  8. Nonas SL, Olsen KA (2005) Optimal and heuristic solutions for a scheduling problem arising in a foundry. Comput Oper Res 32:2351–2382

    Article  MATH  Google Scholar 

  9. Rakes R, Franz S, Wynne J (1984) Aggregate production planning using chance-constrained goal programming. Int J Prod Res 22:673–684

    Article  Google Scholar 

  10. Santos-Meza E, Santos MO, Arenales MN (2002) A lot-sizing problem in an automated foundry. Eur J Oper Res 139:490–500

    Article  MATH  Google Scholar 

  11. Silva J, Lisboa J, Huang P (2000) A labour-constrained model for aggregate production planning. Int J Prod Res 38:2143–2152

    Article  MATH  Google Scholar 

  12. Silva CG, Figueira J, Lisboa J, Barman S (2006) An interactive decision support system for an aggregate production planning model based on multiple criteria mixed integer linear programming. Omega 34:167–177

    Article  Google Scholar 

  13. Tamiz M, Jones D, Romero C (1998) Goal programming for decision making: an overview of the current state-of-the-art. Eur J Oper Res 111:58–569

    Article  MATH  Google Scholar 

  14. Voorhis TV, Peters F, Johnson D (2001) Developing software for generating pouring schedules for steel foundries. Comput Ind Eng 39:219–234

    Article  Google Scholar 

  15. Wang R-C, Fang H-H (2001) Aggregate production planning with multiple objectives in a fuzzy environment. Eur J Oper Res 133:521–536

    Article  MATH  Google Scholar 

  16. Wang R-C, Liang T-F (2005) Applying possibilistic linear programming to aggregate production planning. Int J Prod Res 98:328–341

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. SQC & OR Unit, Indian Statistical Institute, 203, B. T. Road, Kolkata, 700108, India

    Susanta Kumar Gauri

Authors
  1. Susanta Kumar Gauri
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Susanta Kumar Gauri.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Gauri, S.K. Modeling product-mix planning for batches of melt under multiple objectives in a small scale iron foundry. Prod. Eng. Res. Devel. 3, 189–196 (2009). https://doi.org/10.1007/s11740-009-0152-6

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11740-009-0152-6

Keywords

Search

Navigation