Selecting optimal linear production systems in multiple criteria environments

https://doi.org/10.1016/0305-0548(92)90030-9Get rights and content

Abstract

To select an optimal linear production system means to select the best subset of products from the set of possible products for production and to prepare the necessary contingency plans that can be flexibly used to cope with changes of decision parameters, such as criterion coefficients and resource availability levels, in a given planning horizon. This paper describes mathematical models for selecting optimal production systems under multiple criteria environments by using the multiple criteria and multiple-constraints-level (MC2) simplex method. An effective procedure is proposed for systematically identifying optimal linear production systems and constructing related contingency plans. A computer-aided support system to implement the procedure is also sketched.

References (24)

  • G.B. Dantzig

    Linear Programming and Extensions

    (1963)
  • M.K. Starr

    Evolving concepts in production management

    E.S. Buffa

    Readings in Production and Operations Management

  • E.S. Buffa

    Modern Production Management

    (1965)
  • J.A. Alcalay et al.

    A proposal for a general model of a production system

    Int. J. Prod. Res.

    (1963)
    E.S. Buffa

    Readings in Production and Operations Management

  • A. Reisman et al.

    A general model for production and operations systems

    Mgmt Sci.

    (1964)
    E.S. Buffa

    Readings in Production and Operations Management

  • T.C. Koopmans

    Analysis of production as an efficient combination of activities

  • A. Charnes et al.

    Management Models and Industrial Applications of Linear Programming, I & II

    (1961)
  • C.W. Churchman

    The Systems Approach

    (1968)
  • M. Zeleny

    On the squandering of resources and profits via linear programming

    Interfaces

    (1981)
  • L. Seiford et al.

    Potential solutions of linear systems: the multicriteria multiple constraint level program

    J. Math. Analyt. Appl.

    (1979)
  • P.L. Yu

    Multiple Criteria Decision Making: Concepts, Techniques and Extensions

    (1985)
  • Y.R. Lee et al.

    Linear optimal designs and optimal contingency plans

    Mgmt Sci.

    (1990)
  • Cited by (24)

    • Generalized optimal designs and contingency plans in linear systems

      1996, European Journal of Operational Research
    • Duality of Fuzzy MC<sup>2</sup> Linear Programming: A Constructive Approach

      1995, Journal of Mathematical Analysis and Applications
    View all citing articles on Scopus

    Yong Shi is Assistant Professor at the College of Business Administration, University of Nebraska at Omaha. He holds a Ph.D. degree in Management Science from the School of Business, University of Kansas. His dissertation title is “Optimal linear production systems: models, algorithms, and computer support systems”. He has a B.S. in mathematics from the Southwestern Petroleum Institute, China. He is the author of more than ten publications, including a monographic book, on various research areas.

    View full text