IDEAS home Printed from https://ideas.repec.org/a/eee/jomega/v43y2014icp21-29.html
   My bibliography  Save this article

Mixed integer (0–1) fractional programming for decision support in paper production industry

Author

Listed:
  • Claassen, G.D.H.

Abstract

This paper presents an effective and efficient method for solving a special class of mixed integer fractional programming (FP) problems. We take a classical reformulation approach for continuous FP as a starting point and extend it for solving a more general class of mixed integer (0–1) fractional programming problems.

Suggested Citation

  • Claassen, G.D.H., 2014. "Mixed integer (0–1) fractional programming for decision support in paper production industry," Omega, Elsevier, vol. 43(C), pages 21-29.
  • Handle: RePEc:eee:jomega:v:43:y:2014:i:c:p:21-29
    DOI: 10.1016/j.omega.2013.05.008
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0305048313000613
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.omega.2013.05.008?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Schaible, Siegfried & Ibaraki, Toshidide, 1983. "Fractional programming," European Journal of Operational Research, Elsevier, vol. 12(4), pages 325-338, April.
    2. Bredstrom, David & Lundgren, Jan T. & Ronnqvist, Mikael & Carlsson, Dick & Mason, Andrew, 2004. "Supply chain optimization in the pulp mill industry--IP models, column generation and novel constraint branches," European Journal of Operational Research, Elsevier, vol. 156(1), pages 2-22, July.
    3. Pati, Rupesh Kumar & Vrat, Prem & Kumar, Pradeep, 2008. "A goal programming model for paper recycling system," Omega, Elsevier, vol. 36(3), pages 405-417, June.
    4. John D. C. Little, 1970. "Models and Managers: The Concept of a Decision Calculus," Management Science, INFORMS, vol. 16(8), pages 466-485, April.
    5. Allahverdi, Ali & Gupta, Jatinder N. D. & Aldowaisan, Tariq, 1999. "A review of scheduling research involving setup considerations," Omega, Elsevier, vol. 27(2), pages 219-239, April.
    6. Claassen, G.D.H. & Hendriks, Th.H.B., 2007. "An application of Special Ordered Sets to a periodic milk collection problem," European Journal of Operational Research, Elsevier, vol. 180(2), pages 754-769, July.
    7. John D. C. Little, 2004. "Models and Managers: The Concept of a Decision Calculus," Management Science, INFORMS, vol. 50(12_supple), pages 1841-1853, December.
    8. Berends, P. A. J. & Romme, A. G. L., 2001. "Cyclicality of capital-intensive industries: a system dynamics simulation study of the paper industry," Omega, Elsevier, vol. 29(6), pages 543-552, December.
    9. John D. C. Little, 2004. "Comments on ÜModels and Managers: The Concept of a Decision CalculusÝ," Management Science, INFORMS, vol. 50(12_supple), pages 1854-1860, December.
    10. Chakraborty, M. & Chandra, M.K., 2005. "Multicriteria decision making for optimal blending for beneficiation of coal: a fuzzy programming approach," Omega, Elsevier, vol. 33(5), pages 413-418, October.
    11. Ahlatcioglu, Mehmet & Tiryaki, Fatma, 2007. "Interactive fuzzy programming for decentralized two-level linear fractional programming (DTLLFP) problems," Omega, Elsevier, vol. 35(4), pages 432-450, August.
    12. Bouchriha, Hanen & Ouhimmou, Mustapha & D'Amours, Sophie, 2007. "Lot sizing problem on a paper machine under a cyclic production approach," International Journal of Production Economics, Elsevier, vol. 105(2), pages 318-328, February.
    13. Alain Martel & Nafee Rizk & Sophie D'Amours & Hanen Bouchriha, 2005. "Synchronized Production-Distribution Planning in the Pulp and Paper Industry," Springer Books, in: André Langevin & Diane Riopel (ed.), Logistics Systems: Design and Optimization, chapter 0, pages 323-350, Springer.
    14. Hua, Zhongsheng & Bian, Yiwen & Liang, Liang, 2007. "Eco-efficiency analysis of paper mills along the Huai River: An extended DEA approach," Omega, Elsevier, vol. 35(5), pages 578-587, October.
    15. Chang, Ching-Ter, 2007. "Multi-choice goal programming," Omega, Elsevier, vol. 35(4), pages 389-396, August.
    16. Werner Dinkelbach, 1967. "On Nonlinear Fractional Programming," Management Science, INFORMS, vol. 13(7), pages 492-498, March.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. József Mezei & Matteo Brunelli & Christer Carlsson, 2017. "A fuzzy approach to using expert knowledge for tuning paper machines," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 68(6), pages 605-616, June.
    2. Ritu Arora & Kavita Gupta, 2018. "Branch and bound algorithm for discrete multi- level linear fractional programming problem," Operations Research and Decisions, Wroclaw University of Science and Technology, Faculty of Management, vol. 28(2), pages 5-21.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Xu, Jiuping & Li, Zongmin, 2012. "A review on Ecological Engineering based Engineering Management," Omega, Elsevier, vol. 40(3), pages 368-378.
    2. Chong Hyun Park & Gemma Berenguer, 2020. "Supply Constrained Location‐Distribution in Not‐for‐Profit Settings," Production and Operations Management, Production and Operations Management Society, vol. 29(11), pages 2461-2483, November.
    3. Bernd Skiera & Nadia Abou Nabout, 2013. "Practice Prize Paper ---PROSAD: A Bidding Decision Support System for Profit Optimizing Search Engine Advertising," Marketing Science, INFORMS, vol. 32(2), pages 213-220, March.
    4. Bo Zhang & YueLin Gao & Xia Liu & XiaoLi Huang, 2022. "An Outcome-Space-Based Branch-and-Bound Algorithm for a Class of Sum-of-Fractions Problems," Journal of Optimization Theory and Applications, Springer, vol. 192(3), pages 830-855, March.
    5. Michael F. Gorman, 2018. "A Survey of Research in Field-Based Education: A Summary of Process, Best Practices, and Lessons Learned," INFORMS Transactions on Education, INFORMS, vol. 18(3), pages 145-161, May.
    6. Preyas S. Desai & David Bell & Gary Lilien & David Soberman, 2012. "Editorial --The Science-to-Practice Initiative: Getting New Marketing Science Thinking into the Real World," Marketing Science, INFORMS, vol. 31(1), pages 1-3, January.
    7. Germann, Frank & Lilien, Gary L. & Rangaswamy, Arvind, 2013. "Performance implications of deploying marketing analytics," International Journal of Research in Marketing, Elsevier, vol. 30(2), pages 114-128.
    8. Jalili Marand, Ata & Li, Hongyan & Thorstenson, Anders, 2019. "Joint inventory control and pricing in a service-inventory system," International Journal of Production Economics, Elsevier, vol. 209(C), pages 78-91.
    9. Wang, Chao & Lim, Ming K & Zhao, Longfeng & Tseng, Ming-Lang & Chien, Chen-Fu & Lev, Benjamin, 2020. "The evolution of Omega-The International Journal of Management Science over the past 40 years: A bibliometric overview," Omega, Elsevier, vol. 93(C).
    10. Abderrahman Bouhamidi & Mohammed Bellalij & Rentsen Enkhbat & Khalid Jbilou & Marcos Raydan, 2018. "Conditional Gradient Method for Double-Convex Fractional Programming Matrix Problems," Journal of Optimization Theory and Applications, Springer, vol. 176(1), pages 163-177, January.
    11. Bram L. Gorissen, 2015. "Robust Fractional Programming," Journal of Optimization Theory and Applications, Springer, vol. 166(2), pages 508-528, August.
    12. Chien-Wen Shen & Yen-Ting Peng & Chang-Shu Tu, 2019. "Multi-Criteria Decision-Making Techniques for Solving the Airport Ground Handling Service Equipment Vendor Selection Problem," Sustainability, MDPI, vol. 11(12), pages 1-21, June.
    13. Gary L. Lilien & John H. Roberts & Venkatesh Shankar, 2013. "Effective Marketing Science Applications: Insights from the ISMS-MSI Practice Prize Finalist Papers and Projects," Marketing Science, INFORMS, vol. 32(2), pages 229-245, March.
    14. John Hauser & Gerard J. Tellis & Abbie Griffin, 2006. "Research on Innovation: A Review and Agenda for," Marketing Science, INFORMS, vol. 25(6), pages 687-717, 11-12.
    15. Steven M. Shugan, 2007. "—It's the Findings, Stupid, Not the Assumptions," Marketing Science, INFORMS, vol. 26(4), pages 449-459, 07-08.
    16. Jae Hyoung Lee & Liguo Jiao, 2018. "Solving Fractional Multicriteria Optimization Problems with Sum of Squares Convex Polynomial Data," Journal of Optimization Theory and Applications, Springer, vol. 176(2), pages 428-455, February.
    17. Tunjo Perić & Josip Matejaš & Zoran Babić, 2023. "Advantages, sensitivity and application efficiency of the new iterative method to solve multi-objective linear fractional programming problem," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 31(3), pages 751-767, September.
    18. Massimiliano Caramia & Francesca Guerriero, 2010. "A Milk Collection Problem with Incompatibility Constraints," Interfaces, INFORMS, vol. 40(2), pages 130-143, April.
    19. Tien Mai & Arunesh Sinha, 2022. "Safe Delivery of Critical Services in Areas with Volatile Security Situation via a Stackelberg Game Approach," Papers 2204.11451, arXiv.org.
    20. Park, Chong Hyun & Lim, Heejong, 2021. "A parametric approach to integer linear fractional programming: Newton’s and Hybrid-Newton methods for an optimal road maintenance problem," European Journal of Operational Research, Elsevier, vol. 289(3), pages 1030-1039.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:jomega:v:43:y:2014:i:c:p:21-29. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/wps/find/journaldescription.cws_home/375/description#description .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.