TY - THES T1 - A solution to the turnpike problem in membranes A1 - Albores, Maria Cristina A2 - Juayong, Richelle Ann LA - English UL - https://tuklas.up.edu.ph/Record/UP-99796217608946927 AB - P systems are massively parallel computing models that are based on the architecture of living cells; P system variants, namely the P system with active membranes and the P system with membrane creation, have been used to solve NP-complete problems in polynomial time or better by trading time for an exponential workspace. The Turnpike Problem involves the reconstruction of those point sets on a line that arise from a given distance multiset. Although the Turnpike Problem itself is of unknown complexity, variants of it have been proven to be NP-complete, and there are no existing polynomial algorithms for it. In this paper, we present a P system with active membranes and membrane creation that implements an O(2[raised to n] n log n)-time backtracking algorithm for the Turnpike Problem in linear time. CN - LG 993.5 2009 C65 A42 KW - Biologically-inspired computing. KW - Models, Biological. KW - Molecular biology -- Mathematical models. KW - Turnpike Problem. ER -