Posynomial geometric programming with parametric uncertainty |
| |
| Institution: | 1. Department of Information Engineering, Hiroshima University, 4-1 Kagamiyama 1 Chome 739-8527, Higashi-Hiroshima, Japan;2. Department of Mathematical Sciences, Nanzan University, Japan;3. Universite de Techologie de Compiegne, Compiegne, France;1. CEG-IST, Center for Management Studies, Instituto Superior Técnico, TagusPark, Universidade de Lisboa, Av. Rovisco Pais, 1049-001 Lisbon, Portugal;2. Instituto Politécnico de Leiria, Morro do Lena – Alto Vieiro, 2411-901 Leiria, Portugal;3. Department of Management Science, Lancaster University, Bailrigg, Lancaster LA1 4YX, United Kingdom;1. Laboratoire de Recherche en Informatique (LRI), Université Paris Sud - XI, Bât. 650, 91405 Orsay Cedex, France;2. Department of Systems Engineering and Engineering Management, The Chinese University of Hong Kong, Shatin, New Territories, Hong Kong;1. Pontifícia Universidade Católica do Rio de Janeiro—PUC-Rio, Electrical Engineering Department, Marquês de São Vicente Street, 225 Gávea, 22451-900 Rio de Janeiro, RJ, Brazil;2. Mines-Paristech, 60 Boulevard Saint-Michel, 75006 Paris, France;3. Universidade de Federal de Juiz de Fora—UFJF, José Lourenço Kelmer Street, Campus Universitário, 36036-900 Juiz de Fora, MG, Brazil;1. School of Physics, IISER TVM, CET Campus, Thiruvananthapuram, Kerala 695 016, India;2. Harish-Chandra Research Institute, Chhatnag Road, Jhunsi, Allahabad 211 019, India;1. Department of Social Work, Stockholm University, 106 91 Stockholm, Sweden;2. Swedish Institute for Social Research (SOFI), Stockholm University, 106 91 Stockholm, Sweden;3. Swedish Council for Information on Alcohol and Drugs (CAN), Box 70412, Klara Norra, Kyrkogata 34, 107 25 Stockholm, Sweden;4. Department of Clinical Neuroscience, Karolinska Institutet, Administration, Tomtebodavägen 18A, 5th floor, 171 77 Stockholm, Sweden |
| |
| Abstract: | Geometric programming provides a powerful tool for solving nonlinear problems where nonlinear relations can be well presented by exponential or power function. This paper develops a procedure to derive the lower and upper bounds of the objective of the posynomial geometric programming problem when the cost and constraint parameters are uncertain. The imprecise parameters are represented by ranges, instead of single values. An imprecise geometric program is transformed to a family of conventional geometric programs to calculate the objective value. The derived result is also in a range, where the objective value would appear. The ability of calculating the bounds of the objective value developed in this paper might help lead to more realistic modeling efforts in engineering design areas. |
| |
| Keywords: | |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
