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Physical Sciences and Mathematics Commons

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Full-Text Articles in Physical Sciences and Mathematics

Monte Carlo Approx. Methods For Stochastic Optimization, John Fowler Jan 2016

Monte Carlo Approx. Methods For Stochastic Optimization, John Fowler

Pomona Senior Theses

This thesis provides an overview of stochastic optimization (SP) problems and looks at how the Sample Average Approximation (SAA) method is used to solve them. We review several applications of this problem-solving technique that have been published in papers over the last few years. The number and variety of the examples should give an indication of the usefulness of this technique. The examples also provide opportunities to discuss important aspects of SPs and the SAA method including model assumptions, optimality gaps, the use of deterministic methods for finite sample sizes, and the accelerated Benders decomposition algorithm. We also give a …


How Can We Have A Better Public Transportation System? –An Exploratory Agent Based Model, Boyu Liu Jan 2016

How Can We Have A Better Public Transportation System? –An Exploratory Agent Based Model, Boyu Liu

Pomona Senior Theses

Public transportation plays an integral part in a city's development, but transportation professionals disagree about whether it is feasible to increase the capacity of public transportation systems at a reasonable cost; and if it is, how. This study develops an agent based model that aims to answer this question and provide a framework to compare the effects of improvements in different aspects of the public transportation service. The results of this study show that it is possible to increase ridership enough to compensate for the increased operational cost, but only in certain circumstances. Interesting phenomenon that might have showed up …


Turning Waste Into Compost In Napa, California, Liana D. Solis Jan 2016

Turning Waste Into Compost In Napa, California, Liana D. Solis

Pomona Senior Theses

Two significant pieces of legislation in California have mandated that cities and counties must reduce their waste streams. Assembly Bill 341 establishes that California must divert 75% of its waste from landfills by the year 2020. The first bill that included composting, Assembly Bill 1826, was passed in 2014 and requires that commercial users enact composting beginning in 2016. These initiatives have led cities and counties to seek ways of implementing composting programs. Using the City of Napa as a case study, this thesis argues that a composting program can be integrated into any existing waste hauling service. Although there …