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Business, general

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The tolerance approach to sensitivity analysis of matrix coefficients in linear programming

Article Abstract:

Research developing a tolerance approach to sensitivity analysis of matrix coefficients in linear programming is described. The tolerance approach to standard linear programming considers simultaneous perturbations in more than one row or column of a linear program and allows for simultaneous and independent perturbations in the matrix coefficients. The concept of approximate tolerance is used to correct for the difficulty in computing the inverse of the perturbed basis when delineating the maximum tolerance under general perturbations. A decision maker can place a priori limits on the possible values over which certain parameters may vary. The tolerance approach delineates a maximum tolerance percentage within which all the elements in a row or column can vary simultaneously and independently from estimated value but still retain the same set of basic variables in an optimal solution.

Author: Wendell, Richard E., Ravi, N.
Publisher: Institute for Operations Research and the Management Sciences
Publication Name: Management Science
Subject: Business, general
ISSN: 0025-1909
Year: 1989
Analysis, Linear programming, Management research, Control systems, Control system sensitivity

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Applications of integer programming in radio frequency management

Article Abstract:

Communicating via radio frequencies involves the design of increasingly complex networks. Design problems that confront communication network managers are analyzed. Intermodulation, which can occur due to simultaneous transmission of different frequencies picked up by the same network, is modeled. The model indicates minimization tactics for intermodulation across given communication networks. Also modeled is the design of a net to be added to communication networks, such that acceptable levels of intermodulation are produced through the net on the old network.

Author: Morito, Susumu, Mathur, Kamlesh, Salkin, Harvey M., Nishimura, Koichi
Publisher: Institute for Operations Research and the Management Sciences
Publication Name: Management Science
Subject: Business, general
ISSN: 0025-1909
Year: 1985
Models, Management, Integer programming, Communication, Communications, Radio

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