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Optimization of the transportation expense of a firm with contractual supplies

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  • Dangalchev, Chavdar A.

Abstract

We consider nonlinear nonconvex capacitated transportation problems where the nonlinearity occurs only in the last row of the transportation tableau. This transportation model can be successfully applied to economics representing the nonlinearity caused by penalties for unsatisfied contractual quantities or by changing in price. An algorithm for local optimization, based on the algorithms for solving linear transportation problems, is suggested. It consists of three phases - initial, linear and nonlinear. The nonlinear phase uses auxiliary linear transportation problems. The algorithm is illustrated by proper examples. Sufficient conditions for satisfying contractual supplies are given.

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  • Dangalchev, Chavdar A., 2000. "Optimization of the transportation expense of a firm with contractual supplies," Transportation Research Part B: Methodological, Elsevier, vol. 34(3), pages 203-217, April.
    • Handle: RePEc:eee:transb:v:34:y:2000:i:3:p:203-217
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    References listed on IDEAS

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    3. Dangalchev, Chavdar Atanasov, 1996. "Partially-linear transportation problems," European Journal of Operational Research, Elsevier, vol. 91(3), pages 623-633, June.
    4. Ahuja, R. K. & Batra, J. L. & Gupta, S. K., 1984. "A parametric algorithm for convex cost network flow and related problems," European Journal of Operational Research, Elsevier, vol. 16(2), pages 222-235, May.
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    Cited by:

    1. Khurana, Archana & Adlakha, Veena & Lev, Benjamin, 2018. "Multi-index constrained transportation problem with bounds on availabilities, requirements and commodities," Operations Research Perspectives, Elsevier, vol. 5(C), pages 319-333.
    2. Dalbinder Kour & Sathi Mukherjee & Kajla Basu, 2017. "Solving intuitionistic fuzzy transportation problem using linear programming," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 8(2), pages 1090-1101, November.

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