Production systems and hierarchies of centres

Inhaltsverzeichnis

• 1. Definition of the problem and results.
• 1.1. Some comments on the structure of systems of centres.
• 1.2. A brief survey of problems.
• 1.3. Summary and main conclusions.
• 2. Earlier works on systems of centres.
• 2.1. Necessary conditions for hierarchy.
• 2.2. Models for vertically integrated industries.
• 2.3. Models with input-output coefficients.
• 3. Hierarchy of centres in Sweden at the beginning of the 1970s — an empirical test on Swedish data.
• 3.1. Background and presentation of the problem.
• 3.2. An empirical investigation for Sweden.
• Supplement. Component analysis — presentation and use.
• 4. An attempt to extend the problem of Tinbergen and Bos — capacities of plants given.
• 4.1. Presentation of the problem.
• 4.2. Models for testing whether a centre should be split up.
• 4.3. A programming model.
• 4.4. Some numerical examples.
• 4.5. Problems when decision-making is individual and based on price information.
• Supplement. Balas’ method for combinatorial solution of integer problems.
• 5. The system of centres when capacities of plants are not given — a further extension of the problem.
• 5.1. Presentation of the problem.
• 5.2. Control and co-ordination costs.
• 5.3. A model for quadratic programming.
• Appendix 1.
• Appendix 2.
• Appendix 3.
• Appendix 4.
• References.