The fuzzy approach to facilities layout problems

Grobelny, Jerzy

doi:10.1016/0165-0114(87)90057-1

Cited by 39 publications

(29 citation statements)

References 8 publications

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“…The concept of linguistic patterns (LPs) introduced by Grobelny [16] was applied to the following two issues: assessing the optimality of the hierarchy vector and evaluating the pairwise comparison ratings of experts. In the present study, the proposed method allows an assessment of the hierarchy vector relative to the matrix of preferences as the multi-valued degree of truth of the logical expressions, similar to the fuzzy sets-based approaches described in the previous section, where the vague linguistic expressions of experts are used as preference ratings.…”

Section: Current Study Objectivesmentioning

confidence: 99%

“…Both expressions ("link_between_objects is STRONG" and "the distance_between_objects is small") are not very precise, so the truth of the above should be assessed in a rather flexible manner. Grobelny [16] proposed the use of a multivalued logic Lukasiewicz formula to evaluate the truth value of (3), and some concepts from the possibility theory proposed by Zadeh [43] to assess the level of truth for the left-and right-hand sides of (3). These assumptions led to the following formula for evaluating one specific object pair in a given layout.…”

Section: Linguistic Pattern As a Criterion In An Flpmentioning

confidence: 99%

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Fuzzy-based linguistic patterns as a tool for the flexible assessment of a priority vector obtained by pairwise comparisons

Grobelny

2016

Fuzzy Sets and Systems

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Section: Current Study Objectivesmentioning

confidence: 99%

Section: Linguistic Pattern As a Criterion In An Flpmentioning

confidence: 99%

Fuzzy-based linguistic patterns as a tool for the flexible assessment of a priority vector obtained by pairwise comparisons

Grobelny

2016

Fuzzy Sets and Systems

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“…His economic decision model integrates product selection, capacity planning, process planning, and facility layout. Grobelny (1987) presented one possibly 'fuzzy' approach to FLPs. Abdou and Dutta (1990) presented an integrated approach to facilities layout design using expert system.…”

Section: Literature Reviewmentioning

confidence: 99%

An Integrated AHP-VIKOR Methodology for Facility Layout Design

Shokri¹,

Ashjari²,

Saberi³

et al. 2013

Industrial Engineering and Management Systems

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A facility layout design (FLD) problem can be generally introduced as assignment of facilities (departments) to a site such that a set of criteria are satisfied or some objectives are minimized (maximized). Hence, it can be considered as a multi-criteria problem due to the presence of qualitative criteria such as maintenance or flexibility and quantitative criteria such as the total cost of handling material. The VIKOR method was developed to solve multiple criteria decision making problems with conflicting and non-commensurable (different units) criteria, assuming that compromising is acceptable for conflict resolution, the decision maker wants a solution that is the closest to the ideal, and the alternatives are evaluated according to all established criteria. This paper proposes a hierarchical analytic hierarchy process (AHP) and VIKOR approach to solve the FLD problem. A computer-aided layout-planning tool is adopted to generate the facility layout problems, as well as their quantitative data. The qualitative performance measures are weighted by AHP. VIKOR is then used to solve the FLD problem. Finally, the proposed integrated procedure is applied to three real-time examples.

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“…For more details about fuzzy systems the comprehensive book written by George and Yuan [50] is introduced. Grobelny [54,55] solved the FLP with the same number of facilities and locations so that the total MHC is minimized. They used the linguistic variables 'high' and 'near' to represent the values of the flow of materials between facilities and distance between locations respectively.…”

Section: Fuzzy Systemmentioning

confidence: 99%

A review of intelligent approaches for designing dynamic and robust layouts in flexible manufacturing systems

Moslemipour

Lee

Rilling

2011

Int J Adv Manuf Technol

117

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Facility layout problem is associated with the arrangement of facilities in a plant. It is a critical issue in the early stages of designing a manufacturing system because it affects the total manufacturing cost significantly. Dynamic and robust layouts are flexible enough to cope with fluctuations and uncertainties in product demands in volatile environment of flexible manufacturing systems. Since the facility layout is a hard combinatorial optimization problem, intelligent approaches are the most appropriate methods for solving the large size of this problem in reasonable computational time. In this paper, first of all, dynamic and robust layouts are surveyed. After a quick look of different mathematical models, including quadratic assignment, quadratic set covering, mixed integer programming, and graph theoretic models, the various solution methods especially intelligent approaches along with their advantages and disadvantages are surveyed. Finally, after review of hybrid algorithms, the conclusion of this paper is reported.

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The fuzzy approach to facilities layout problems

Cited by 39 publications

References 8 publications

Fuzzy-based linguistic patterns as a tool for the flexible assessment of a priority vector obtained by pairwise comparisons

Fuzzy-based linguistic patterns as a tool for the flexible assessment of a priority vector obtained by pairwise comparisons

An Integrated AHP-VIKOR Methodology for Facility Layout Design

A review of intelligent approaches for designing dynamic and robust layouts in flexible manufacturing systems

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