2020
DOI: 10.1007/s11590-020-01621-z
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Mathematical optimization approach for facility layout on several rows

Abstract: The facility layout problem is concerned with finding an arrangement of non-overlapping indivisible departments within a facility so as to minimize the total expected flow cost. In this paper we consider the special case of multi-row layout in which all the departments are to be placed in three or more rows, and our focus is on, for the first time, solutions for large instances. We first propose a new mixed integer linear programming formulation that uses continuous variables to represent the departments’ loca… Show more

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Cited by 15 publications
(9 citation statements)
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References 36 publications
(47 reference statements)
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“…To avoid inverting too many machines which would change the original solution too much, num should be a small number. The num is reset as a random integer in [3,4] if the number of machines (m) is less than 20. The ending position of the machine sequence to be inverted, denoted by j, is as follows:…”
Section: The Inversion Operationmentioning
confidence: 99%
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“…To avoid inverting too many machines which would change the original solution too much, num should be a small number. The num is reset as a random integer in [3,4] if the number of machines (m) is less than 20. The ending position of the machine sequence to be inverted, denoted by j, is as follows:…”
Section: The Inversion Operationmentioning
confidence: 99%
“…Generate uniformly distributed random integers i and num in [1, m] and [1 + m/8 , m/4 ], respectively; If m< 20 then num is set as a random integer in [3,4]; End j = i + num − 1; If j >m then j = j − m; End For k = 1 to num/2 do Swap the two machines at positions i and j of π;…”
Section: Beginmentioning
confidence: 99%
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“…The Facility layout problem (FLP) refers to the problem of optimizing the material handling cost (MHC) or other objectives determining the most efficient arrangement of given elements on the factory floor [1]. For manufacturing factories, 20-50% of the total operating cost and 15-70% of the total manufacturing cost are attributed to MHC [2].…”
Section: Introductionmentioning
confidence: 99%
“…Moreover, the information transmitted between the government, various tourism-related enterprises, and tourists is not smooth. It weakens the tourist's sense and interactivity [12]. In order to tap the needs and pain points of tourists' travel information services, it is necessary to meet the needs of users.…”
Section: Introductionmentioning
confidence: 99%