Papers
This section presents a collection of AHP/ANP papers. Whether you are a student, academic and/or professional in the field of decision making, you can help us expand this collection by sharing your papers on decision making with the Analytic Hierarchy Process (AHP) and the Analytic Network Process (ANP).
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Paper results for keyword: OptimizationExploring optimization through hierarchies and ratio scales
Thomas SaatyJournal: Socio-Economic Planning SciencesThis paper explores the concept of optimization by solely using the AHP and compares outcomes with those obtained in traditional optimization theory without and with constraints. The difference is essentially in the absence of the traditional black box involving complex manipulations in algebra o...
Read MoreOptimization and the geometry of numbers: packing and covering
Thomas Saaty, Joyce M. AlexanderJournal: SIAM ReviewThere are a number of useful applications gradually arising out of the geometry of numbers. In this paper we give a brief survey of the fields of packing and covering, stating some results, and giving illustrations of methods of proof and approaches to the subject. We then mention and discuss a v...
Read MoreOn nonlinear optimization in integers
Thomas SaatyJournal: Naval Research Logistics QuarterlyThe purpose of this paper is to give some elementary theorems on optimization in integers of nonlinear expressions subject to simple equality constraints. Other than the complicated algorithms of integer linear-programming, there is a dirth of examples and a
tradition to follow which might help ...
Read MoreA Nonlinear Programming Model in Optimum Communication Satellite Use
Thomas SaatyJournal: SIAM Review In this note we formulate the problem of allocating communication needs of different cities via relay-type satellites. Our model turns out to be a dynamic (over successive time periods) quadratic nonlinear program
requiring integer solutions. Such solutions have been recently studied by Kunzi a...
Read MoreLetter to the Editor—A Conjecture Concerning the Smallest Bound on the Iterations in Linear Programming
Thomas SaatyJournal: Operations ResearchIn solving linear programming problems accurate estimates of the number of iterations needed to reach the optimum are important to have. It has been mentioned in the literature that computing experience indicates this number of iterations to be of the order of twice the number of constraints. We ...
Read MoreCoefficient perturbation of a constrained extremum
Thomas SaatyJournal: Operations ResearchA schedule of allocating labor (in a shipping operation) whose available amount is a function of time, to different tasks, in order to minimize the total cost, is given. The problem is cast in linear-programming form in which all the coefficients are parameterized. An illustration is given follow...
Read MoreFurniture industry management by applying SCM
Majid Azizi, Mehdi Faezipour, Tahir NisarJournal: Cogent Business & ManagementThe purpose of this study is to use supply chain management in a wood furniture company and find its effect on the management indices of that company. The supply chain is a complex system consisting three or more commercial units which directly include at least one connected product procedure, fi...
Read More
Exploring optimization through hierarchies and ratio scales
Thomas SaatyJournal: Socio-Economic Planning SciencesThis paper explores the concept of optimization by solely using the AHP and compares outcomes with those obtained in traditional optimization theory without and with constraints. The difference is essentially in the absence of the traditional black box involving complex manipulations in algebra o...
Read MoreOptimization and the geometry of numbers: packing and covering
Thomas Saaty, Joyce M. AlexanderJournal: SIAM ReviewThere are a number of useful applications gradually arising out of the geometry of numbers. In this paper we give a brief survey of the fields of packing and covering, stating some results, and giving illustrations of methods of proof and approaches to the subject. We then mention and discuss a v...
Read MoreOn nonlinear optimization in integers
Thomas SaatyJournal: Naval Research Logistics QuarterlyThe purpose of this paper is to give some elementary theorems on optimization in integers of nonlinear expressions subject to simple equality constraints. Other than the complicated algorithms of integer linear-programming, there is a dirth of examples and a tradition to follow which might help ...
Read MoreA Nonlinear Programming Model in Optimum Communication Satellite Use
Thomas SaatyJournal: SIAM Review In this note we formulate the problem of allocating communication needs of different cities via relay-type satellites. Our model turns out to be a dynamic (over successive time periods) quadratic nonlinear program requiring integer solutions. Such solutions have been recently studied by Kunzi a...
Read MoreLetter to the Editor—A Conjecture Concerning the Smallest Bound on the Iterations in Linear Programming
Thomas SaatyJournal: Operations ResearchIn solving linear programming problems accurate estimates of the number of iterations needed to reach the optimum are important to have. It has been mentioned in the literature that computing experience indicates this number of iterations to be of the order of twice the number of constraints. We ...
Read MoreCoefficient perturbation of a constrained extremum
Thomas SaatyJournal: Operations ResearchA schedule of allocating labor (in a shipping operation) whose available amount is a function of time, to different tasks, in order to minimize the total cost, is given. The problem is cast in linear-programming form in which all the coefficients are parameterized. An illustration is given follow...
Read MoreFurniture industry management by applying SCM
Majid Azizi, Mehdi Faezipour, Tahir NisarJournal: Cogent Business & ManagementThe purpose of this study is to use supply chain management in a wood furniture company and find its effect on the management indices of that company. The supply chain is a complex system consisting three or more commercial units which directly include at least one connected product procedure, fi...
Read More