It has been a challenge for mathematicians to theoretically confirm the extremely good performance of simplex algorithms for linear programming. We have confirmed that a certain variant of the simplex method solves problems of order m X n in an expected number of steps which is bounded between two quadratic functions of the smaller dimension of the problem. Our probabilistic assumptions are rat...

The trace map has been used very successfully to generate cocyclic complex and Butson Hadamard matrices and simplex codes over Z4 and Z2s . We extend this technique to obtain new linear codes over Zps . It is worth nothing here that these codes are cocyclic but not simplex codes. Further we find that the construction method also gives Butson Hadamard matrices of order p.

A method is presented which optimizes weights of general planar 1D and 2D symmetric full and sparse arrays. The objective is to nd a weighting of the array elements which gives the minimum sidelobe level of the array pattern in a speci ed region the stopband. The sidelobe level is controlled on a discrete set of points from this region. The method minimizes the Chebyshev norm of the sidelobe le...

We investigate the links between various no-arbitrage conditions and existence of pricing functionals in general markets, prove Fundamental Theorem Asset Pricing therein. No-arbitrage conditions, either this abstract setting or case a market consisting European Call options, give rise to duality properties infinite-dimensional sub- super-hedging problems. With view towards applications, we show...

Crude palm oil (CPO) merupakan salah satu komoditas ekspor andalan indonesia. Prospek pasar CPO masih cukup cerah dimasa yang akan datang, untuk domestik maupun ekspor. Indonesia menjadi penghasil terbesar di dunia dan membutuhkan optimalisasikan armada angkutan CPO. Pada penelitian ini menggunakan 7 tongkang dengan muatan 3 bermuatan 5000 metrik ton (MT) 4 3500 MT, dimana sistem tarik kapal tu...