Optimal composition of number and size of machines in a multi-stage make-to-order system with due dates

References

• Altendorfer , K and Jodlbauer , H . 2011 . An analytical model for service level and tardiness in a single machine MTO production system . International Journal of Production Research , 49 ( 7 ) : 1827 – 1850 .
   Web of Science ®Google Scholar
• Altendorfer, K. and Minner, S., 2011. Simultaneous capacity and planned lead time optimisation for a two-stage production system. European Journal of Operational Research, 213, 134–146
   Google Scholar
• Angelus , A and Porteus , EL . 2002 . Simultaneous capacity and production management of short-life-cycle, produce-to-stock goods under stochastic demand . Management Science , 48 : 399 – 413 .
   Web of Science ®Google Scholar
• Bertrand , JWM and van Ooijen , HPG . 2008 . Optimal work order release for make-to-order job shops with customer order lead-time costs, tardiness costs and work-in-process costs . International Journal of Production Economics , 116 : 233 – 241 .
   Web of Science ®Google Scholar
• Bradley , JR and Glynn , PW . 2002 . Managing capacity and inventory jointly in manufacturing systems . Management Science , 48 : 273 – 288 .
   Web of Science ®Google Scholar
• Brigham , G . 1955 . On a congestion problem in an aircraft factory . Journal of the Operations Research Society of America , 3 : 412 – 428 .
   Web of Science ®Google Scholar
• Brumelle , SL . 1971 . Some inequalities for parallel-server queues . Operations Research , 19 : 402 – 413 .
   Web of Science ®Google Scholar
• Buzacott , JA and Shanthikumar , JG . 1992 . Design of manufacturing systems using queueing models . Queueing Systems , 12 : 135 – 213 .
   Google Scholar
• Buzacott , JA and Shanthikumar , JG . 1994 . Safety stock versus safety time in MRP controlled production systems . Management Science , 40 : 1678 – 1689 .
   Web of Science ®Google Scholar
• Chao , X and Scott , C . 2000 . Several results on the design of queueing systems . Operations Research , 48 : 965 – 970 .
   Web of Science ®Google Scholar
• Crabill , TB , Gross , D and Magazine , MJ . 1977 . A classified bibliography of research on optimal design and control of queues . Operations Research , 25 : 219 – 232 .
   Web of Science ®Google Scholar
• Driscoll , MF and Weiss , NA . 1976 . An application of queueing theory to reservation networks . Management Science , 22 : 540 – 546 .
   Web of Science ®Google Scholar
• Grassmann , W . 1983 . The convexity of the mean queue size of the M/M/c queue with respect to the traffic intensity . Journal of Applied Probability , 20 : 916 – 919 .
   Web of Science ®Google Scholar
• Hillier , FS . 1963 . Economic models for industrial waiting line problems . Management Science , 10 : 119 – 130 .
   Web of Science ®Google Scholar
• Hopp , WJ and Spearman , ML . 1996 . Factory physics: Foundation of manufacturing management , Chicago : Irwin .
   Google Scholar
• Jodlbauer , H . 2008 . Customer driven production planning . International Journal of Production Economics , 111 : 793 – 801 .
   Web of Science ®Google Scholar
• Jodlbauer , H and Altendorfer , K . 2010 . Trade-off between capacity invested and inventory needed . European Journal of Operational Research , 203 : 118 – 133 .
   Web of Science ®Google Scholar
• MacGregor-Smith , J . 2007 . Multi-server, finite waiting room, M/G/c/K optimisation models . INFOR , 45 : 257 – 274 .
   Web of Science ®Google Scholar
• Mandelbaum , A and Reiman , MI . 1998 . On pooling in queueing networks . Management Science , 44 : 971 – 981 .
   Web of Science ®Google Scholar
• Medhi , J . 1991 . Stochastic models in queuing theory , Boston , MA : Academic Press .
   Google Scholar
• Mincsovics , G , Tan , T and Alp , O . 2009 . Integrated capacity and inventory management with capacity acquisition lead times . European Journal of Operational Research , 196 : 949 – 958 .
   Web of Science ®Google Scholar
• Raman , A and Kim , B . 2002 . Quantifying the impact of inventory holding cost and reactive capacity on an apparel manufacturer's profitability . Production & Operations Management , 11 : 358 – 373 .
   Web of Science ®Google Scholar
• Rao , SS . 1998 . Waiting line model applications in manufacturing . International Journal of Production Economics , 54 : 1 – 28 .
   Web of Science ®Google Scholar
• Scheller-Wolf , A . 2003 . Necessary and sufficient conditions for delay moments in FIFO multiserver queues with an application comparing s slow servers with one fast one . Operations Research , 51 : 748 – 758 .
   Web of Science ®Google Scholar
• Silver , EA , Pyke , DF and Peterson , R . 1998 . Inventory management and production planning and scheduling , 3rd edn , New York : John Wiley and Sons .
   Google Scholar
• Stidham , S Jr . 1970 . On the optimality of single server queuing systems . Operations Research , 18 : 708 – 732 .
   Web of Science ®Google Scholar
• Stidham , S Jr . 1992 . Pricing and capacity decisions for service facility: Stability and multiple local optima . Management Science , 38 : 1121 – 1139 .
   Web of Science ®Google Scholar
• Tijms , HC . 2003 . A first course in stochastic models , Amsterdam : Wiley .
   Google Scholar
• Yano , CA . 1987 . Setting planned leadtimes in serial production systems with tardiness costs . Management Science , 33 : 95 – 106 .
   Web of Science ®Google Scholar
• Zipkin , PH . 2000 . Foundations of inventory management , Boston , MA : McGraw-Hill Higher Education .
   Google Scholar