A fuzzy approach for determining a feasible point in a constrained problem

R. Timothy Marler, Jingzhou Yang, Singiresu S Rao

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

In an engineering design process, it is often desirable or even necessary to find a feasible starting point before finding the actual optimal design. The identification of unapparent feasible points provides problem insight with little computational cost. In addition, some optimization algorithms either require, or function more efficiently with, an initial point that satisfies all constraints. The advantages of using an initial feasible design are especially evident with complex structural problems and with problems that involve potential safety concerns such as the design of large pressure vessels. Although some methods are available, literature concerning the development and use of feasible-point determination is scarce. In this paper, fuzzy function theory is used to develop a novel, simple, and efficient algorithm for determining a feasible point by starting with a potentially infeasible point. Each constraint is written in fuzzy form with a newly developed membership function. The resulting optimization problem is easily solved using conventional techniques. This approach is applied to structural and manufacturing problems, including the design of a general pressure vessel. When compared with an established method, the new approach is successful and more than twenty-five times faster with larger problems.

Original languageEnglish (US)
Title of host publicationAmerican Society of Mechanical Engineers, Pressure Vessels and Piping Division (Publication) PVP
EditorsJ. Pfeifer, J.K. Jens, S. Terada, J. Sinnappan
Pages115-124
Number of pages10
Volume473
DOIs
StatePublished - 2004
Event2004 ASME/JSME Pressure Vessels and Piping Conference - San Diego, CA, United States
Duration: Jul 25 2004Jul 29 2004

Other

Other2004 ASME/JSME Pressure Vessels and Piping Conference
CountryUnited States
CitySan Diego, CA
Period7/25/047/29/04

Fingerprint

Pressure vessels
Membership functions
Costs
Optimal design

ASJC Scopus subject areas

  • Mechanical Engineering
  • Industrial and Manufacturing Engineering

Cite this

Marler, R. T., Yang, J., & Rao, S. S. (2004). A fuzzy approach for determining a feasible point in a constrained problem. In J. Pfeifer, J. K. Jens, S. Terada, & J. Sinnappan (Eds.), American Society of Mechanical Engineers, Pressure Vessels and Piping Division (Publication) PVP (Vol. 473, pp. 115-124) https://doi.org/10.1115/PVP2004-2286

A fuzzy approach for determining a feasible point in a constrained problem. / Marler, R. Timothy; Yang, Jingzhou; Rao, Singiresu S.

American Society of Mechanical Engineers, Pressure Vessels and Piping Division (Publication) PVP. ed. / J. Pfeifer; J.K. Jens; S. Terada; J. Sinnappan. Vol. 473 2004. p. 115-124.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Marler, RT, Yang, J & Rao, SS 2004, A fuzzy approach for determining a feasible point in a constrained problem. in J Pfeifer, JK Jens, S Terada & J Sinnappan (eds), American Society of Mechanical Engineers, Pressure Vessels and Piping Division (Publication) PVP. vol. 473, pp. 115-124, 2004 ASME/JSME Pressure Vessels and Piping Conference, San Diego, CA, United States, 7/25/04. https://doi.org/10.1115/PVP2004-2286
Marler RT, Yang J, Rao SS. A fuzzy approach for determining a feasible point in a constrained problem. In Pfeifer J, Jens JK, Terada S, Sinnappan J, editors, American Society of Mechanical Engineers, Pressure Vessels and Piping Division (Publication) PVP. Vol. 473. 2004. p. 115-124 https://doi.org/10.1115/PVP2004-2286
Marler, R. Timothy ; Yang, Jingzhou ; Rao, Singiresu S. / A fuzzy approach for determining a feasible point in a constrained problem. American Society of Mechanical Engineers, Pressure Vessels and Piping Division (Publication) PVP. editor / J. Pfeifer ; J.K. Jens ; S. Terada ; J. Sinnappan. Vol. 473 2004. pp. 115-124
@inproceedings{97829752e73046108f15033f9ab9d7b8,
title = "A fuzzy approach for determining a feasible point in a constrained problem",
abstract = "In an engineering design process, it is often desirable or even necessary to find a feasible starting point before finding the actual optimal design. The identification of unapparent feasible points provides problem insight with little computational cost. In addition, some optimization algorithms either require, or function more efficiently with, an initial point that satisfies all constraints. The advantages of using an initial feasible design are especially evident with complex structural problems and with problems that involve potential safety concerns such as the design of large pressure vessels. Although some methods are available, literature concerning the development and use of feasible-point determination is scarce. In this paper, fuzzy function theory is used to develop a novel, simple, and efficient algorithm for determining a feasible point by starting with a potentially infeasible point. Each constraint is written in fuzzy form with a newly developed membership function. The resulting optimization problem is easily solved using conventional techniques. This approach is applied to structural and manufacturing problems, including the design of a general pressure vessel. When compared with an established method, the new approach is successful and more than twenty-five times faster with larger problems.",
author = "Marler, {R. Timothy} and Jingzhou Yang and Rao, {Singiresu S}",
year = "2004",
doi = "10.1115/PVP2004-2286",
language = "English (US)",
volume = "473",
pages = "115--124",
editor = "J. Pfeifer and J.K. Jens and S. Terada and J. Sinnappan",
booktitle = "American Society of Mechanical Engineers, Pressure Vessels and Piping Division (Publication) PVP",

}

TY - GEN

T1 - A fuzzy approach for determining a feasible point in a constrained problem

AU - Marler, R. Timothy

AU - Yang, Jingzhou

AU - Rao, Singiresu S

PY - 2004

Y1 - 2004

N2 - In an engineering design process, it is often desirable or even necessary to find a feasible starting point before finding the actual optimal design. The identification of unapparent feasible points provides problem insight with little computational cost. In addition, some optimization algorithms either require, or function more efficiently with, an initial point that satisfies all constraints. The advantages of using an initial feasible design are especially evident with complex structural problems and with problems that involve potential safety concerns such as the design of large pressure vessels. Although some methods are available, literature concerning the development and use of feasible-point determination is scarce. In this paper, fuzzy function theory is used to develop a novel, simple, and efficient algorithm for determining a feasible point by starting with a potentially infeasible point. Each constraint is written in fuzzy form with a newly developed membership function. The resulting optimization problem is easily solved using conventional techniques. This approach is applied to structural and manufacturing problems, including the design of a general pressure vessel. When compared with an established method, the new approach is successful and more than twenty-five times faster with larger problems.

AB - In an engineering design process, it is often desirable or even necessary to find a feasible starting point before finding the actual optimal design. The identification of unapparent feasible points provides problem insight with little computational cost. In addition, some optimization algorithms either require, or function more efficiently with, an initial point that satisfies all constraints. The advantages of using an initial feasible design are especially evident with complex structural problems and with problems that involve potential safety concerns such as the design of large pressure vessels. Although some methods are available, literature concerning the development and use of feasible-point determination is scarce. In this paper, fuzzy function theory is used to develop a novel, simple, and efficient algorithm for determining a feasible point by starting with a potentially infeasible point. Each constraint is written in fuzzy form with a newly developed membership function. The resulting optimization problem is easily solved using conventional techniques. This approach is applied to structural and manufacturing problems, including the design of a general pressure vessel. When compared with an established method, the new approach is successful and more than twenty-five times faster with larger problems.

UR - http://www.scopus.com/inward/record.url?scp=7644237825&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=7644237825&partnerID=8YFLogxK

U2 - 10.1115/PVP2004-2286

DO - 10.1115/PVP2004-2286

M3 - Conference contribution

VL - 473

SP - 115

EP - 124

BT - American Society of Mechanical Engineers, Pressure Vessels and Piping Division (Publication) PVP

A2 - Pfeifer, J.

A2 - Jens, J.K.

A2 - Terada, S.

A2 - Sinnappan, J.

ER -