Non-standard posynomial geometric programs. (English) Zbl 0634.90060
Non-standard posynomial geometric programs are nonlinear programs that can be transformed into posynomial geometric programs. In this paper, new classes of non-standard geometric programs are introduced. We focus on minimax posynomial programs and fractional posynomial programs. A complete duality theory is developed for each class.
MSC:
| 90C30 | Nonlinear programming |
| 90C34 | Semi-infinite programming |
| 90C32 | Fractional programming |
| 49N15 | Duality theory (optimization) |
References:
| [1] | BEIGHTLER C., Applied Geometric Programming (1976) · Zbl 0344.90034 |
| [2] | DUFFIN R. J., Geometric Programming (1967) |
| [3] | DOI: 10.1007/BF02591746 · Zbl 0558.90074 · doi:10.1007/BF02591746 |
| [4] | DOI: 10.1137/0115117 · Zbl 0171.18002 · doi:10.1137/0115117 |
| [5] | DOI: 10.1137/1018001 · Zbl 0331.90057 · doi:10.1137/1018001 |
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