Accession Number : AD0724902

Title :   Parametric Evaluation and Mean-Standard Deviation Analysis in Stochastic Programming Models.

Descriptive Note : Research rept.,

Corporate Author : CARNEGIE-MELLON UNIV PITTSBURGH PA MANAGEMENT SCIENCES RESEARCH GROUP

Personal Author(s) : Itami,Hiroyuki

Report Date : AUG 1970

Pagination or Media Count : 43

Abstract : The main interest is in investigating several kinds of implications of stochastic programming models and their uses to provide several types of dialogues between formal models and the decision maker himself under risk-taking situations. First, some stochastic programming models which are often discussed in the literature are presented and parametric evaluations using dual evaluators are attempted. Second, we see a close relationship between these models and the mean-standard deviation analysis mainly developed in the context of portfolio selection theory. Third, we explore utility implications of these models in connection with the expected utility maximization principle. Finally, attempts are made to impute the value(s) of key parameters in each of these models and some other utility models from the actual decision made in the mean-standard devication analysis of framework. (Author)

Descriptors :   (*LINEAR PROGRAMMING, STOCHASTIC PROCESSES), (*MANAGEMENT PLANNING AND CONTROL, DECISION MAKING), UNCERTAINTY, MATHEMATICAL MODELS, NONLINEAR PROGRAMMING, QUADRATIC PROGRAMMING, ECONOMICS, PROBABILITY

Subject Categories : Administration and Management
      Economics and Cost Analysis
      Operations Research

Distribution Statement : APPROVED FOR PUBLIC RELEASE