Box–triangular multiobjective linear programs for resource allocation with application to load management and energy market problems

Models for multicriteria resource allocation are constructed with the specific box–triangular structure of a feasible region. The method of balance set equations is extended for the satisfaction level representation of the cost function space including the case of linearly dependent cost functions. On this basis, different goal criteria on the balance set are investigated for linear cases. Procedures for determining the balance set and finding goal-optimal Pareto solutions are illustrated on examples. The results of the paper are of universal character and can find wide applications in allocating diverse types of resources on the multiobjective basis in planning and control of complex systems including load management and energy market problems.