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Full-Text Articles in Physical Sciences and Mathematics
Optimal Contract Design For Co-Development Of Companion Diagnostics, Rodney T. Tembo
Optimal Contract Design For Co-Development Of Companion Diagnostics, Rodney T. Tembo
Electronic Thesis and Dissertation Repository
As the number of new drugs requiring companion diagnostics rises, more and more partnerships are formed between drug and diagnostics manufacturers to develop the necessary companion diagnostic. An increasingly significant issue is that of the optimal revenue/profit sharing or compensation schemes for such partnerships. We investigate the structure of an optimal compensation scheme under a scenario where a large pharmaceutical firm that is developing a drug intends to partner with a smaller diagnostics firm to develop a companion diagnostic test for the drug. We describe an optimal contract as one that maximizes the pharmaceutical firm's expected profits while offering enough …
High Multiplicity Strip Packing, Devin Price
High Multiplicity Strip Packing, Devin Price
Electronic Thesis and Dissertation Repository
An instance of the two-dimensional strip packing problem is specified by n rectangular items, each having a width, 0 < wn ≤ 1, and height, 0 < hn ≤ 1. The objective is to place these items into a strip of width 1, without rotations, such that they are nonoverlapping and the total height of the resulting packing is minimized. In this thesis, we consider the version of the two-dimensional strip packing problem where there is a constant number K of distinct rectangle sizes and present an OPT + K - 1 polynomial-time approximation algorithm for it. This beats a previous algorithm …