Author
Stanley Zionts
Other affiliations: State University of New York System, European Institute for Advanced Studies in Management
Bio: Stanley Zionts is an academic researcher from University at Buffalo. The author has contributed to research in topics: Linear programming & Integer programming. The author has an hindex of 35, co-authored 116 publications receiving 6288 citations. Previous affiliations of Stanley Zionts include State University of New York System & European Institute for Advanced Studies in Management.
Papers published on a yearly basis
Papers
More filters
TL;DR: The history of the areas of multiple criteria decision making (MCDM) and multiattribute utility theory (MAUT) are extended and topics the authors believe to be important for the future of these fields are discussed.
Abstract: This paper is an update of a paper that five of us published in 1992. The areas of multiple criteria decision making (MCDM) and multiattribute utility theory (MAUT) continue to be active areas of management science research and application. This paper extends the history of these areas and discusses topics we believe to be important for the future of these fields.
760 citations
TL;DR: In this paper, a man-machine interactive mathematical programming method is presented for solving the multiple criteria problem involving a single decision maker, where all decision-relevant criteria or objective functions are concave functions to be maximized, and the constraint set is convex.
Abstract: In this paper a man-machine interactive mathematical programming method is presented for solving the multiple criteria problem involving a single decision maker. It is assumed that all decision-relevant criteria or objective functions are concave functions to be maximized, and that the constraint set is convex. The overall utility function is assumed to be unknown explicitly to the decision maker, but is assumed to be implicitly a linear function, and more generally a concave function of the objective functions. To solve a problem involving multiple objectives the decision maker is requested to provide answers to yes and no questions regarding certain trade offs that he likes or dislikes. Convergence of the method is proved; a numerical example is presented. Tests of the method as well as an extension of the method for solving integer linear programming problems are also described.
732 citations
TL;DR: In this paper, the history of MCDM and MAUT is discussed and topics are discussed for their continued development and usefulness to management science over the next decade, identifying exciting directions and promising areas for future research.
Abstract: Management science and decision science have grown exponentially since midcentury. Two closely-related fields central to this growth are multiple criteria decision making MCDM and multiattribute utility theory MAUT. This paper comments on the history of MCDM and MAUT and discusses topics we believe are important in their continued development and usefulness to management science over the next decade. Our aim is to identify exciting directions and promising areas for future research.
606 citations
TL;DR: In this paper, it was shown that if a finite solution to the problem exists, only one linear programming problem must be solved, and this is because the denominator cannot have two different signs in the feasible region except in ways which are not of practical importance.
Abstract: Charnes and Cooper [1] showed that a linear programming problem with a linear fractional objective function could be solved by solving at most two ordinary linear programming problems. In addition, they showed that where it is known a priori that the denominator of the objective function has a unique sign in the feasible region, only one problem need be solved. In the present note it is shown that if a finite solution to the problem exists, only one linear programming problem must be solved. This is because the denominator cannot have two different signs in the feasible region, except in ways which are not of practical importance.
507 citations
TL;DR: This paper develops a method for interactive multiple objective linear programming assuming an unknown pseudo concave utility function satisfying certain general properties and presents the supporting theory and algorithm.
Abstract: This paper develops a method for interactive multiple objective linear programming assuming an unknown pseudo concave utility function satisfying certain general properties. The method is an extension of our earlier method published in this journal Zionts, S., Wallenius, J. 1976. An interactive programming method for solving the multiple criteria problem. Management Sci.22 6 652-663.. Various technical problems present in predecessor versions have been resolved. In addition to presenting the supporting theory and algorithm, we discuss certain options in implementation and summarize our practical experience with several versions of the method.
351 citations
Cited by
More filters
TL;DR: A survey of current continuous nonlinear multi-objective optimization concepts and methods finds that no single approach is superior and depends on the type of information provided in the problem, the user's preferences, the solution requirements, and the availability of software.
Abstract: A survey of current continuous nonlinear multi-objective optimization (MOO) concepts and methods is presented. It consolidates and relates seemingly different terminology and methods. The methods are divided into three major categories: methods with a priori articulation of preferences, methods with a posteriori articulation of preferences, and methods with no articulation of preferences. Genetic algorithms are surveyed as well. Commentary is provided on three fronts, concerning the advantages and pitfalls of individual methods, the different classes of methods, and the field of MOO as a whole. The Characteristics of the most significant methods are summarized. Conclusions are drawn that reflect often-neglected ideas and applicability to engineering problems. It is found that no single approach is superior. Rather, the selection of a specific method depends on the type of information that is provided in the problem, the user’s preferences, the solution requirements, and the availability of software.
4,263 citations
TL;DR: The role of trust between knowledge users and knowledge providers is investigated in this paper, where the kind of knowledge of special concern is formal market research, and users include marketing and non-marketing.
Abstract: The authors investigate the role of trust between knowledge users and knowledge providers. The kind of knowledge of special concern is formal market research. Users include marketing and nonmarketi...
4,217 citations
TL;DR: In this paper, a distinction is made between the learning processes taking place among actors embedded in a community by just being there dubbed buzz and the knowledge attained by investing in building channels of communication called pipelines to selected providers located outside the local milieu.
Abstract: The paper is concerned with spatial clustering of economic activity and its relation to the spatiality of knowledge creation in interactive learning processes. It questions the view that tacit knowledge transfer is confined to local milieus whereas codified knowledge may roam the globe almost frictionlessly. The paper highlights the conditions under which both tacit and codified knowledge can be exchanged locally and globally. A distinction is made between, on the one hand, the learning processes taking place among actors embedded in a community by just being there dubbed buzz and, on the other, the knowledge attained by investing in building channels of communication called pipelines to selected providers located outside the local milieu. It is argued that the co-existence of high levels of buzz and many pipelines may provide firms located in outward-looking and lively clusters with a string of particular advantages not available to outsiders. Finally, some policy implications, stemming from this argumen...
3,942 citations
TL;DR: This chapter presents the basic schemes of VNS and some of its extensions, and presents five families of applications in which VNS has proven to be very successful.
3,572 citations
TL;DR: The rating of each alternative and the weight of each criterion are described by linguistic terms which can be expressed in triangular fuzzy numbers and a vertex method is proposed to calculate the distance between two triangular fuzzyNumbers.
3,109 citations