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Channel Allocation, Beam Laydown, Call Switching.

Development of several specialized algorithms for Motorola for use on the Iridium project. Some of this work resulted in US Patent No. 5,826,189 (in the name of Dr. Thapa), through Motorola, in the area of efficient channel allocation for satellite communications. Other innovative approaches were developed for Beam Laydown, and for call switching.


Bidding Model.
The current Bidding Model for pipeline capacity for PG&E was enhanced. The existing linear programming model was enhanced (1) to generate unique solutions through the use of quadratic programming techniques, and; (2) to handle Minimum Acceptable Quantities through the use of branch bound techniques. For the purpose of this task, a version of MINOS was customized.


GMIN is a FORTRAN program designed to solve chemical equilibrium problems using a free energy minimization approach. The associated optimization problem is a nonlinear program with linear equality constraints. The code utilizes the numerically stable LINPACK routines to perform most of the critical numerical linear algebra. GMIN has been used in several geochemical applications. SBSI’s work with GMIN involved modifying the code in order to improve its efficiency. First, GMIN was altered to allocate memory dynamically depending on problem size. This change permits a significant reduction in the total memory required for the program to run, which is especially important under the 640K limitation under which many programs run. Second, many efficient enhancements to the code were implemented. Some of these changes involved optimizations to the individual FORTRAN routines such as bringing constant expressions outside loops, reducing array accesses, and simplifying statements. Other changes were more elaborate. For example, GMIN’s routines to update a QR factorization were altered to do the task using vector inner products instead of matrix products. The result was a reduction in both computing time and memory. Finally, during the course of the above mentioned tasks a few previously existing bugs in the code were discovered and corrected.

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