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Developing Strong and Hybrid Formulation for the Single Stage Single Period Multi Commodity Warehouse Location Problem: Theoretical Framework and Empirical Investigation

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American Journal of Operations Research 2015年第3期5卷 112-128页

作者： R. R. K. Sharma parag tyagi Vimal Kumar Ajay Jha Department of Industrial & Management Engineering IIT Kanpur India

We note that the Single Stage Single Period Multi Commodity Warehouse Location Problem (SSSPMCWLP) has been first attempted by Geoffrion and Graves [1], and that they use the weak formulation (in context of contribution of this paper). We give for the first time “strong” formulation of SSSPMCWLP. We notice advantages of strong formulation over weak formulation in terms of better bounds for yielding efficient Branch and Bound solutions. However, the computation time of “strong” formulation was discovered to be higher than that of the “weak” formulation, which was a major drawback in solving large size problems. To overcome this, we develop the hybrid strong formulation by adding only a few most promising demand and supply side strong constraints to the weak formulation of SSSPMCWLP. So, the formulations developed were put to test on various large size problems. Hybrid formulation is able to give better bound than the weak and takes much less CPU time than the strong formulation. So, a kind of trade off is achieved allowing efficiently solving large sized SSSPMCWLP in real times using hybrid formulation.

关键词： SSUWLP SSSPMCWLP Strong and Weak Constraints Hybrid Formulation RMIP

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Synthesis and electroluminescence properties of tris-[5-choloro-8-hydroxyquinoline]aluminum Al(5-Clq)_3

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Journal of Semiconductors 2015年第6期36卷 35-38页

作者： Rahul Kumar parag Bhargava Ritu Srivastava Priyanka tyagi Indian Institute of Technology Bombay National Physical Laboratory

A new electroluminescent material tris- [5-choloro-8-hydroxyquinoline] aluminum has been synthesized and characterized. Solution of this material AI（5-Clq）3 in toluene showed absorption maxima at 385 nm which was attributed to the moderate energy （π-π＊） transitions of the aromatic rings. The photoluminescence spectrum of AI（5-Clq）3 in toluene solution showed a peak at 522 nm. This material shows thermal stability up to 400 ℃. The structure of the device is ITO/0.4 wt%F4-TCNQ doped α-NPD （35 nm） / AI（5-Clq）3 （30 nm） / BCP （6 nm）/ Alq3 （30 nm） / LiF （1 nm） / A1 （150 nm）. This device exhibited a luminescence peak at 585 nm （CIE coordinates, x = 0.39, y = 0.50）. The maximum luminescence of the device was 920 Cd/m2 at 25 V. The maximum current efficiency of OLED was 0.27 Cd/A at 20 V and maximum power efficiency was 0.04 lm/W at 18 V.

关键词： organometallic compounds chemical synthesis vapour deposition photoluminescence spectroscopy electrical properties luminescence

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