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International Journal of Production Research Volume 25, 1987 - Issue 9
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Original Articles

A new formulation of operation allocation problem in flexible manufacturing systems: mathematical modelling and computational experience

R. S. LASHKARI Department of Industrial Engineering, University of Windsor, Windsor, Ontario, N9B 3P4., CanadaView further author information
,
S. P. DUTTA Department of Industrial Engineering, University of Windsor, Windsor, Ontario, N9B 3P4., Canada
&
A. M. PADHYE Department of Industrial Engineering, University of Windsor, Windsor, Ontario, N9B 3P4., Canada
Pages 1267-1283 | Received 01 Jan 1987, Published online: 22 Oct 2007

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Anupma Yadav & S.C. Jayswal. (2018) Modelling of flexible manufacturing system: a review. International Journal of Production Research 56:7, pages 2464-2487.
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J-M Yu, H-H Doh, H-W Kim, J-S Kim, D-H Lee & S-H Nam. (2012) Iterative algorithms for part grouping and loading in cellular reconfigurable manufacturing systems. Journal of the Operational Research Society 63:12, pages 1635-1644.
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Deniz Koşucuoğlu & Ümit Bilge. (2012) Material handling considerations in the FMS loading problem with full routing flexibility. International Journal of Production Research 50:22, pages 6530-6552.
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Iraj Mahdavi, Babak Shirazi & Navid Sahebjamnia. (2011) Development of a simulation-based optimisation for controlling operation allocation and material handling equipment selection in FMS. International Journal of Production Research 49:23, pages 6981-7005.
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Y.-C. Ho & H.-W. Hsieh. (2005) A part-and-tool assignment method for the workload-balance between machines and the minimisation of tool-shortage occurrences in an FMS. International Journal of Production Research 43:9, pages 1831-1860.
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Srinivas, M. K. Tiwari & V. Allada. (2004) Solving the machine-loading problem in a flexible manufacturing system using a combinatorial auction-based approach. International Journal of Production Research 42:9, pages 1879-1893.
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U. M. B. S. Sarma, Suman Kant, Rahul Rai & M. K. Tiwari. (2002) Modelling the machine loading problem of FMSs and its solution using a tabu-search-based heuristic. International Journal of Computer Integrated Manufacturing 15:4, pages 285-295.
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J. Paulo, R. S. Lashkari & S. P. Dutta. (2002) Operation allocation and materials-handling system selection in a flexible manufacturing system: A sequential modelling approach. International Journal of Production Research 40:1, pages 7-35.
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DONG-HO LEE & YEONG-DAE KIM. (2000) Loading algorithms for flexible manufacturing systems with partially grouped machines. IIE Transactions 32:1, pages 33-47.
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HEUNGSOON FELIX LEE & KATHRYNE. STECKE. (1998) Production planning for flexible flow systems with limited machine flexibility. IIE Transactions 30:7, pages 669-684.
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MOON-WON PARK & YEONG-DAE KIM. (1995) A heuristic for setting up a flexible assembly system. International Journal of Production Research 33:8, pages 2295-2310.
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Z. M. MOHAMED & J. J. BERNADO. (1995) The relationship between part type demand and FMS loading policies. International Journal of Production Research 33:8, pages 2197-2211.
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B. K. MODI & K. SHANKER. (1995) Models and solution approaches for part movement minimization and load balancing in FMS with machine, tool and process plan flexibilities. International Journal of Production Research 33:7, pages 1791-1816.
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A. ATMANI, R. S. LASHKARI & R. J. CARON. (1995) A mathematical programming approach to joint cell formation and operation allocation in cellular manufacturing. International Journal of Production Research 33:1, pages 1-15.
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Y.-D. KIM & C. A. YANOJ. (1994) A due date-based approach to part type selection in flexible manufacturing systems. International Journal of Production Research 32:5, pages 1027-1043.
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Y-D. KIM. (1993) A study on surrogate objectives for loading a certain type of flexible manufacturing systems. International Journal of Production Research 31:2, pages 381-392.
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YEONG-DAE KIM & CANDACE ARAI YANO. (1993) HEURISTIC APPROACHES FOR LOADING PROBLEMS IN FLEXIBLE MANUFACTURING SYSTEMS. IIE Transactions 25:1, pages 26-39.
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V. DAMODARAN, R. S. LASHKARI & N. SINGH. (1992) A production planning model for cellular manufacturing systems with refixturing considerations. International Journal of Production Research 30:7, pages 1603-1615.
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MICHAELG. KETCHAM. (1992) A branch and bound approach to facility design for continuous flow manufacturing systems. International Journal of Production Research 30:3, pages 573-597.
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MING LIANG & S. P. DUTT. (1990) A mixed-integer programming approach to the machine loading and process planning problem in a process layout environment. International Journal of Production Research 28:8, pages 1471-1484.
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J. M. Wilson. (1989) An alternative formulation of the operation-allocation problem in flexible manufacturing systems. International Journal of Production Research 27:8, pages 1405-1412.
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Articles from other publishers (41)

Anupma Yadav & S. C. Jayswal. (2018) Evaluation of batching and layout on the performance of flexible manufacturing system. The International Journal of Advanced Manufacturing Technology 101:5-8, pages 1435-1449.
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Hamed Fazlollahtabar & Mohammad Saidi-MehrabadHamed Fazlollahtabar & Mohammad Saidi-Mehrabad. 2015. Autonomous Guided Vehicles. Autonomous Guided Vehicles 27 39 .
Amir Sadrzadeh. (2014) Knowledge-Based Genetic Algorithm for Dynamic Machine–Tool Selection and Operation Allocation. Arabian Journal for Science and Engineering 39:5, pages 4315-4323.
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Paolo Priore, Alberto Gómez, Raúl Pino & Rafael Rosillo. (2014) Dynamic scheduling of manufacturing systems using machine learning: An updated review. Artificial Intelligence for Engineering Design, Analysis and Manufacturing 28:1, pages 83-97.
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Hyung-Won Kim, Jae-Min Yu, Ji-Su Kim, Hyoung-Ho Doh, Dong-Ho Lee & Sung-Ho Nam. (2011) Loading algorithms for flexible manufacturing systems with partially grouped unrelated machines and additional tooling constraints. The International Journal of Advanced Manufacturing Technology 58:5-8, pages 683-691.
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Mayank K. Pandey. 2011. Evolutionary Computing in Advanced Manufacturing. Evolutionary Computing in Advanced Manufacturing 95 121 .
Hamed Fazlollahtabar & Iraj Mahdavi. (2009) Applying stochastic programming for optimizing production time and cost in an automated manufacturing system. Applying stochastic programming for optimizing production time and cost in an automated manufacturing system.
Yahia Zare Mehrjerdi. (2009) A decision‐making model for flexible manufacturing system. Assembly Automation 29:1, pages 32-40.
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Anoop Prakash, M. K. Tiwari & R. Shankar. (2008) Optimal job sequence determination and operation machine allocation in flexible manufacturing systems: an approach using adaptive hierarchical ant colony algorithm. Journal of Intelligent Manufacturing 19:2, pages 161-173.
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Pejman Hassanzadeh & Valerie Maier-Speredelozzi. (2008) Dynamic flexibility metrics for capability and capacity. International Journal of Flexible Manufacturing Systems 19:3, pages 195-216.
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Tilak Raj, Ravi Shankar & Mohammed Suhaib. (2007) A review of some issues and identification of some barriers in the implementation of FMS. International Journal of Flexible Manufacturing Systems 19:1, pages 1-40.
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M. K. Tiwari, J. Saha & S. K. Mukhopadhyay. (2006) Heuristic solution approaches for combined-job sequencing and machine loading problem in flexible manufacturing systems. The International Journal of Advanced Manufacturing Technology 31:7-8, pages 716-730.
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Akhilesh Kumar, Prakash, M.K. Tiwari, Ravi Shankar & Alok Baveja. (2006) Solving machine-loading problem of a flexible manufacturing system with constraint-based genetic algorithm. European Journal of Operational Research 175:2, pages 1043-1069.
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M.K. Tiwari, S. Kumar, S. Kumar, Prakash & R. Shankar. (2006) Solving Part-Type Selection and Operation Allocation Problems in an FMS: An Approach Using Constraints-Based Fast Simulated Annealing Algorithm. IEEE Transactions on Systems, Man, and Cybernetics - Part A: Systems and Humans 36:6, pages 1170-1184.
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Felix T.S. Chan & Rahul Swarnkar. (2006) Ant colony optimization approach to a fuzzy goal programming model for a machine tool selection and operation allocation problem in an FMS. Robotics and Computer-Integrated Manufacturing 22:4, pages 353-362.
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A K Choudhary, M K Tiwari & J A Harding. (2006) Part Selection and Operation-Machine Assignment in a Flexible Manufacturing System Environment: A Genetic Algorithm with Chromosome Differentiation-Based Methodology. Proceedings of the Institution of Mechanical Engineers, Part B: Journal of Engineering Manufacture 220:5, pages 677-694.
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Paolo Priore, David de la Fuente, Javier Puente & José Parreño. (2006) A comparison of machine-learning algorithms for dynamic scheduling of flexible manufacturing systems. Engineering Applications of Artificial Intelligence 19:3, pages 247-255.
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Rahul Swarnkar & M.K. Tiwari. (2004) Modeling machine loading problem of FMSs and its solution methodology using a hybrid tabu search and simulated annealing-based heuristic approach. Robotics and Computer-Integrated Manufacturing 20:3, pages 199-209.
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Zubair M. Mohamed, Mohamed A. Youssef & Faizul Huq. (2001) The impact of machine flexibility on the performance of flexible manufacturing systems. International Journal of Operations & Production Management 21:5/6, pages 707-742.
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Zubair M. Mohamed, Ashok Kumar & Jaideep Motwani. (1999) An improved part grouping model for minimizing makespan in FMS. European Journal of Operational Research 116:1, pages 171-182.
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Zubair M Mohamed & John J Bernardo. (1997) Tool planning models for flexible manufacturing systems. European Journal of Operational Research 103:3, pages 497-514.
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Zubair M. Mohamed. (1996) A flexible approach to (re)configure Flexible Manufacturing Cells. European Journal of Operational Research 95:3, pages 566-576.
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Zubair M. Mohamed. (1995) Ramifications of tool magazine size on the makespan and routing flexibility of flexible manufacturing systems. European Journal of Operational Research 87:2, pages 289-298.
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A. Atmani. (1995) A production planning model for flexible manufacturing systems with setup cost consideration. Computers & Industrial Engineering 29:1-4, pages 723-727.
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A. Gunasekaran, T. Martikainen & P. Yli-Olli. 1995. Flexible Manufacturing Systems: Recent Developments - Reference for Modern Instrumentation, Techniques, and Technology. Flexible Manufacturing Systems: Recent Developments - Reference for Modern Instrumentation, Techniques, and Technology 3 44 .
Chang-Yong Song, Hark Hwang & Yeong-Dae Kim. (1995) Heuristic algorithm for the tool movement policy in flexible manufacturing systems. Journal of Manufacturing Systems 14:3, pages 160-168.
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Yeong-Dae Kim & Candace Arai Yano. (1994) A new branch and bound algorithm for loading problems in flexible manufacturing systems. International Journal of Flexible Manufacturing Systems 6:4, pages 361-381.
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Ming Liang. (1994) Integrating machining speed, part selection and machine loading decisions in flexible manufacturing systems. Computers & Industrial Engineering 26:3, pages 599-608.
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R.S. Lashkari & M. Duan. (1994) Mathematical modelling of a loading problem in flexible assembly systems. Computers & Industrial Engineering 26:2, pages 243-251.
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Bimal K. Modi & Kripa Shanker. (1994) A formulation and solution methodology for part movement minimization and workload balancing at loading decisions in FMS. International Journal of Production Economics 34:1, pages 73-82.
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Ming Liang. (1993) Part selection, machine loading, and machining speed selection in flexible manufacturing systems. Computers & Industrial Engineering 25:1-4, pages 259-262.
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Michel Klein, Catherine Lecomte & Pierre Dejax. (1993) Using a knowledge-based decision support system development environment to implement a scheduling system for a workshop. International Journal of Production Economics 30-31, pages 437-451.
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MING LIANG & SOURIN P. DUTTA. (2009) SOLVING A COMBINED PART‐SELECTION, MACHINE‐LOADING, AND TOOL‐CONFIGURATION PROBLEM IN FLEXIBLE MANUFACTURING SYSTEMS*. Production and Operations Management 2:2, pages 97-113.
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V. Damodaran, N. Singh & R. S. Lashkari. (1993) Design of cellular manufacturing systems with refixturing and material handling considerations. Applied Stochastic Models and Data Analysis 9:2, pages 97-109.
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A. Gunasekaran, T. Martikainen & P. Yli-Olli. (1993) Flexible manufacturing systems: An investigation for research and applications. European Journal of Operational Research 66:1, pages 1-26.
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Michael R. SpanoSr.Sr., Peter J. O'Grady & Robert E. Young. (1993) The design of flexible manufacturing systems. Computers in Industry 21:2, pages 185-198.
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S.M. Taboun & T. Ulger. (1992) Multi-objective modelling of operation-allocation problem in flexible manufacturing systems. Computers & Industrial Engineering 23:1-4, pages 295-299.
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Dharmaraj Veeramani, David M. Upton & Moshe M. Barash. (1992) Cutting-tool management in computer-integrated manufacturing. International Journal of Flexible Manufacturing Systems 4:3-4, pages 237-265.
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Yeong-Dae Kim & Candace Arai Yano. (1992) An iterative approach to system setup problems in flexible manufacturing systems. International Journal of Flexible Manufacturing Systems 4:2, pages 183-209.
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Kurt LittgerKurt Littger. 1992. Optimierung. Optimierung 159 196 .
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