Julia Kallrath 
Online Storage Systems and Transportation Problems with Applications 
Optimization Models and Mathematical Solutions

Appendices A Rotastore A. l Tabular Results for Different Models A. 2 Tabular Results for Different Algorithms B Opti Trans B. l Input Data B. l. l Input Data Common to all Solution Approaches B. 1. 2 Specific Input Data for the MILP Model and the Column Enumeration Approach B. 1. 3 Specific Input Data for the Heuristic Methods B. 1. 3. 1 Penalty Criteria B. 1. 3. 2 Control Parameters of the Opti Trans Software B. 2 Tabular Results B. 2. 1 Tabular Results for the MILP Model B. 2. 2 Tabular Results for the Heuristic Methods B. 2. 2. 1 Input Data for a Whole Day – Offline Analysis B. 2. 2. 2 Results for CIH and SA References Index Preface This book covers the analysis and development of online algorithms involving exact optimization and heuristic techniques, and their appli- tion to solve two real life problems. The first problem is concerned with a complex technical system: a special carousel based high-speed storage system – Rotastore. It is shown that this logistic problem leads to an NP-hard Batch Presorting Pr- lem (BPSP) which is not easy to solve optimally in offline situations. We consider a polynomial case and develope an exact algorithm for offline situations. Competitive analysis showed that the proposed online – gorithm is 312-competitive. Online algorithms with lookahead improve the online solutions in particular cases. If the capacity constraint on additional storage is neglected the problem has a totally unimodular polyhedron.

Table of Content

Batch Presorting Problems. I Models and Solution Approaches.- Batch Presorting Problems. II Applications in Inventory Logistics.- Vehicle Routing Problems in Hospital Transportation. I Models and Solution Approaches.- Vehicle Routing Problems in Hospital Transportation. II Applications and Case Studies.- Summary.