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Multi-Commodity Multi-Transformed Network Flows with an Application to Residuals Management

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  • D. Panagiotakopoulos

    (McGill University)

Abstract

This paper presents a network model for the analysis of waste management systems. In the "waste management network" that we develop waste-generating activities correspond to sources, each node corresponds to a specific flow (waste) form, and each arc to a flow transformation; a chain from a source to a destination represents in turn waste generation, treatment, and disposal, while a feasible flow pattern constitutes a possible waste management system. The model resembles the maximal multi-commodity flow model with positive gains (single transformation) along the arcs, but in addition it admits multi-transformations, interrelations among arc flows, and flow-dependent budget restrictions. The problem is formulated as a linear program where each column in the constraint matrix corresponds to a chain in the network. The solution procedure uses a column-generation scheme based on a shortest route algorithm adapted for multi-transformed flows. Recycling, discharge and effluent standards, charges, damage costs and various budgeting schemes can be handled. An illustrative hypothetical example is given.

Suggested Citation

  • D. Panagiotakopoulos, 1976. "Multi-Commodity Multi-Transformed Network Flows with an Application to Residuals Management," Management Science, INFORMS, vol. 22(8), pages 874-882, April.
    • Handle: RePEc:inm:ormnsc:v:22:y:1976:i:8:p:874-882
    DOI: 10.1287/mnsc.22.8.874
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