References
87
ments to floors. Bernardi and Anjos (2013) present a MILO formulation for the
assignment of departments to floors as the first stage of a two-stage approach for
MF-FLP.
The evacuation application of the MF-FLP was formulated as a GQAP in Hahn
et al (2010), where it is called the multi-story assignment problem. We chose to use
the term multi-floor to be consistent with the terminology of this book.
For more on dynamic FLP, we suggest Lahmar and Benjaafar (2005) and Zhu
et al (2018). The factors affecting the connectivity costs (or material flows) are
discussed in Shore and Tompkins (1980). Many authors have considered the QAP
model for DFLP, for instance Ulutas and Islier (2015). A MILO formulation can be
found in McKendall and Hakobyan (2010): the departments have fixed dimensions
but are allowed to rotate.
References
Bernardi S, Anjos MF (2013) A two-stage mathematical-programming method for the multi-floor
facility layout problem. J Oper Res Soc 64(3):352–364
Çela E (2013) The quadratic assignment problem: Theory and algorithms, vol 1. Springer Science
& Business Media
Hahn P, MacGregor Smith J, Zhu YR (2010) The multi-story space assignment problem. Ann Oper
Res 179(1):77–103
Koopmans TC, Beckmann M (1957) Assignment problems and the location of economic activities.
Econometrica 25(1):53–76
Lahmar M, Benjaafar S (2005) Design of distributed layouts. IIE Transactions 37(4):303–318
McKendall AR, Hakobyan A (2010) Heuristics for the dynamic facility layout problem with
unequal-area departments. Eur J Oper Res 201(1):171–182
Meller RD, Bozer YA (1997) Alternative approaches to solve the multi-floor facility layout
problem. J Manuf Syst 16(3):192–203
Patsiatzis DI, Papageorgiou LG (2002) Optimal multi-floor process plant layout. Comput Chem
Eng 26(4):575–583
Shore RH, Tompkins JA (1980) Flexible facilities design. AIIE Transactions 12(2):200–205
Ulutas B, Islier AA (2015) Dynamic facility layout problem in footwear industry. J Manuf Syst
36:55–61
Zhu T, Balakrishnan J, Cheng CH (2018) Recent advances in dynamic facility layout research.
INFOR: Inf Syst Oper Res 56(4):428–456
87
ments to floors. Bernardi and Anjos (2013) present a MILO formulation for the
assignment of departments to floors as the first stage of a two-stage approach for
MF-FLP.
The evacuation application of the MF-FLP was formulated as a GQAP in Hahn
et al (2010), where it is called the multi-story assignment problem. We chose to use
the term multi-floor to be consistent with the terminology of this book.
For more on dynamic FLP, we suggest Lahmar and Benjaafar (2005) and Zhu
et al (2018). The factors affecting the connectivity costs (or material flows) are
discussed in Shore and Tompkins (1980). Many authors have considered the QAP
model for DFLP, for instance Ulutas and Islier (2015). A MILO formulation can be
found in McKendall and Hakobyan (2010): the departments have fixed dimensions
but are allowed to rotate.
References
Bernardi S, Anjos MF (2013) A two-stage mathematical-programming method for the multi-floor
facility layout problem. J Oper Res Soc 64(3):352–364
Çela E (2013) The quadratic assignment problem: Theory and algorithms, vol 1. Springer Science
& Business Media
Hahn P, MacGregor Smith J, Zhu YR (2010) The multi-story space assignment problem. Ann Oper
Res 179(1):77–103
Koopmans TC, Beckmann M (1957) Assignment problems and the location of economic activities.
Econometrica 25(1):53–76
Lahmar M, Benjaafar S (2005) Design of distributed layouts. IIE Transactions 37(4):303–318
McKendall AR, Hakobyan A (2010) Heuristics for the dynamic facility layout problem with
unequal-area departments. Eur J Oper Res 201(1):171–182
Meller RD, Bozer YA (1997) Alternative approaches to solve the multi-floor facility layout
problem. J Manuf Syst 16(3):192–203
Patsiatzis DI, Papageorgiou LG (2002) Optimal multi-floor process plant layout. Comput Chem
Eng 26(4):575–583
Shore RH, Tompkins JA (1980) Flexible facilities design. AIIE Transactions 12(2):200–205
Ulutas B, Islier AA (2015) Dynamic facility layout problem in footwear industry. J Manuf Syst
36:55–61
Zhu T, Balakrishnan J, Cheng CH (2018) Recent advances in dynamic facility layout research.
INFOR: Inf Syst Oper Res 56(4):428–456