Research Reports from the Department of Operations
Document Type
Dissertation
Publication Date
6-1-1970
Abstract
This paper is concerned with analytical solutions to manpower planning models. Dynamic feed-forward models are developed and analyzed. Optimal closed-form solutions minimizing given objective functions for the above models are developed. The models considered treat people as the only flow variable. The flow originates with some particular population of eligible persons and then traces them through the educational and economic sectors of the model. An objective function is developed, composed of educational costs and manpower "inventory" or penalty costs. The educational costs are for teacher and administrative salaries, investment in buildings and grounds, etc. The manpower penalty costs are for having either an undersupply or oversupply of manpower and can be related to welfare costs, educational opportunity costs, and other economic and societal opportunity costs. The flows are driven by a subset of variables such that the above costs are minimized. Under various cost assumptions, the thrust of the analysis effort concentrates on mathematical programming techniques for obtaining optimal solutions to models of ever-increasing approximations to reality and hence mathematical complexity.
Keywords
Operations research, Manpower planning--Mathematical models, Dynamic programming, Educational planning--Economic aspects, Labor supply--Economic aspects, Mathematical optimization, Economics--Mathematical models
Publication Title
Dissertation, Department of Operations, School of Management, Case Western Reserve University
Issue
Technical memorandum no. 185 ; 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
Balinsky, Warren L., "Some Manpower Planning Models Based on Educational Attainment" (1970). Research Reports from the Department of Operations. 539.
https://commons.case.edu/wsom-ops-reports/539