Due to the continuously increasing container trade, many terminals are presently operating at or close to capacity. An efficient terminal is one that facilitates the quick transshipment of containers to and from ships. In this sake, this paper addresses the ship assignments problem at a maritime container terminal, where ships are normally assigned to specific quay cranes until the work is fini...

Discrete, nonlinear and PDE constrained optimization are mostly considered as different fields of mathematical research. Nevertheless many real-life problems are most naturally modeled as PDE constrained mixed integer nonlinear programs. For example, nonlinear network flow problems where the flow dynamics are governed by a transport equation are of this type. We present four different applicati...

We present the documentation and mathematical modeling of open-box system RaPID/?. The software is designed for choice classrooms assignment proctoring duties in massive tests, which a common situation educational institutions offering large coordinated lower division courses. model binary integer programming problem: combination 0-1 knapsack problem job-assignment problem. makes decisions acco...

In a two-sided matching market when agents on both sides have preferences the stability of the solution is typically the most important requirement. However, we may also face some distributional constraints with regard to the minimum number of assignees or the distribution of the assignees according to their types. These two requirements can be challenging to reconcile in practice. In this pape...

7 In this paper we present an integer programming method for solving the Classroom Assignment Problem in University Course Timetabling. We introduce a novel formulation of the problem which generalises existing models and maintains tractability even for large instances. The model is validated through computational results based on our experiences at the University of Auckland, and on instances ...

Assignment model is a powerful operations research techniques that can be used to solve assignment or allocation problem. This study applies the assignment model to the course allocation problem in Nigeria tertiary institution in order to maximize lecturers’ effectiveness. A well-structured questionnaire was used to obtain data from lecturers and solved with Hungarian method. The study revealed...

Abstract: A mixed integer programming based approach for optimal control of a class of nonlinear systems with typical non-smooth and even discontinuous components is presented. Firstly, a model denoted as General Linear System Model (GLSM), which can be used to describe accurately a wide range of nonlinear systems with typical nonlinear components, is established. Secondly, based on GLSM, mixed...

In this study, a comprehensive set of transit, intermodal and multimodal assignment models (FAST-TrIPs) is developed for transportation planning and operations purposes. The core part of the models is a schedule-based transit assignment with capacity constraint and boarding priority. The problem is defined to model the system performance dynamically by taking into account the scheduled transit ...

The mixed work assignment technique was applied to the modular production concept solve apparel assembly line balancing problem. Specifically, an algorithm implemented generate workstations by first classifying tasks into modules through analysis of manufacturing process and assigning grouped in single task–multiple workers multiple tasks–single worker methods. Then, sequentially performed cons...