论文信息 - Fractional Resource Allocation with S-Shaped Return Functions

Fractional Resource Allocation with S-Shaped Return Functions

A fractional resource allocation problem with S-shaped return functions and an affine cost function is considered. Properties of optimal solutions are derived, including conditions for certain allocations to be zero. Conditions are given for the determination of an optimal solution by concave approximations of the return functions; otherwise an error bound is obtained.

K. M. Mjelde

[1] Werner Dinkelbach. On Nonlinear Fractional Programming , 1967 .

[2] William Ginsberg,et al. The multiplant firm with increasing returns to scale , 1974 .

[3] Hanan Luss,et al. Technical Note - Allocation of Effort Resources among Competing Activities , 1975, Oper. Res..

[4] Michael H. Rothkopf,et al. Bidding in Simultaneous Auctions with a Constraint on Exposure , 1977, Oper. Res..

[5] Frank David John Dunstan. An Algorithm for Solving a Resource Allocation Problem , 1977 .

[6] K. M. Mjelde. Allocation of resources according to a fractional objective , 1978 .

[7] James R. Freeland,et al. S-Shaped Response Functions: Implications for Decision Models , 1980 .

[8] K. M. Mjelde. Improvement of a method of the evaluation of allocations of resources to activities , 1981 .

[9] K. M. Mjelde. Methods of the Allocation of Limited Resources , 1983 .