Research Reports from the Department of Operations
Document Type
Dissertation
Publication Date
8-30-1972
Abstract
This thesis is concerned with the mathematical modeling of two problems in housing: the housing transition process and the allocation of manpower and strategies for code enforcement. The housing transition process, which includes upward conversion, abandonment, and demolition, is based on the use of quasi-stationary transition matrices produced by specially structured linear programs at each time period. A supply side, a demand side, and a demand-supply readjustment process are modeled. A linear program is specified for the code-enforcement allocation of manpower, while the allocation of strategies is approached through a Markovian Decision Process formulation. Remarks concerning the solution of Markovian Decision Processes subject to certain complicating constraints are included. In both problems, the city is viewed as a group of neighborhoods.
Keywords
Operations research, Housing--Mathematical models, Housing policy--Mathematical models, Markov processes, Linear programming, City planning--Mathematical models, Manpower planning
Publication Title
Dissertation, Department of Operations, School of Management, Case Western Reserve University
Issue
Technical memorandum no. 262 ; Submitted in partial fulfillment of the requirements for the Degree of Doctor of Philosophy.
Rights
This work is in the public domain and may be freely downloaded for personal or academic use
Recommended Citation
Daughety, Andrew Frank, "Some Mathematical Models of the Housing Process" (1972). Research Reports from the Department of Operations. 540.
https://commons.case.edu/wsom-ops-reports/540