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Price, delivery time, and capacity decisions in an M/M/1 make-to-order/service system with segmented market

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Abstract

Speed and price are the two most important factors in customer satisfaction and business success in today’s competitive environment. Time-based product differentiation and segment pricing have provided firms with a great opportunity to profit enhancement. This paper presents a coding system for pricing/queuing models in the literature. In this article, a service/make-to-order firm with heterogeneous price and delivery time-sensitive customers as an M/M/1 queuing system is analyzed. The firm uses customers’ heterogeneity to create market segments. Products offered to each segment differ only in price and delivery time. The objective of this profit-maximizing firm is to determine optimal price, delivery time, and capacity for different market segments. Moreover, solving this problem can help to strategic decision making about supply chain decoupling point. An approach based on uniformization and matrix geometric method so as to calculate the distribution of low-priority customers’ time in system is developed. Then, the proposed pricing/queuing model is implemented by a numerical study and firm’s optimal decisions under shared and dedicated capacity strategies are analyzed and the effect of capacity costs and product substitution is studied. Finally, we have shown how firm’s decisions are influenced by market characteristics, capacity costs, and operational strategies.

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References

  1. Afeche P (2004) Incentive compatible revenue management in queueing systems: optimal strategic delay and other delaying tactics. Working paper, Northwestern University

  2. Afeche P, Mendelson H (2004) Pricing and priority auctions in queueing systems with a generalized delay cost structure. Manage Sci 50(7):869–882

    Article  Google Scholar 

  3. Allon G, Federgruen A (2005) Competition in service industries. Oper Res 53(1):37–55

    MathSciNet  Google Scholar 

  4. Boyaci T, Ray S (2003) Product differentiation and capacity cost interaction in time and price sensitive markets. Manuf Serv Oper Manage 5(1):18–36

    Article  Google Scholar 

  5. Boyaci T, Ray S (2006) The impact of capacity costs on product differentiation in delivery time, delivery reliability, and price. Prod Oper Management POMS 15(2):179–197

    Article  Google Scholar 

  6. Dewan S, Mendelson H (1990) User delay costs and internal pricing for a service facility. Manage Sci 36(12):1502–1517

    Article  MATH  Google Scholar 

  7. Dobson G, Stavrulaki E (2007) Simultaneous price, location, and capacity decisions on a line of time-sensitive customers. Nav Res Logistics NRL 54(1):1–10

    Article  MathSciNet  MATH  Google Scholar 

  8. Ha AY (1998) Incentive-compatible pricing for a service facility with joint production and congestion externalities. Manage Sci 44(12):1623–1636

    Article  MATH  Google Scholar 

  9. Ha AY (2001) Optimal pricing that coordinates queues with customer chosen service requirements. Manage Sci 47(7):915–930

    Article  Google Scholar 

  10. Hall JM, Kopalle PK, Pyke DF Static and dynamic pricing of excess capacity in a make-to-order environment. Working paper, Tuck School of Business at Dartmouth

  11. Hill AV, Khosla IS (1992) Models for optimal lead time reduction. Prod Oper Manage 1(2):185–197

    Article  Google Scholar 

  12. Jayaswal S, Jewkes E, Ray S (2011) Product differentiation and operations strategy in a capacitated environment. Eur J Oper Res 210(3):716–728

    Article  MathSciNet  MATH  Google Scholar 

  13. Katta A, Sethuraman J (2005) Pricing strategies and service differentiation in queues: a profit maximization perspective. Department of Industrial Engineering and Operations Research, Columbia University

  14. Lederer PJ, Li L (1997) Pricing, production, scheduling, and delivery-time competition. Oper Res 45(3):407–420

    Article  MathSciNet  MATH  Google Scholar 

  15. Li L, Lee YS (1994) Pricing and delivery-time performance in a competitive environment. Manage Sci 40(5):633–646

    Article  MATH  Google Scholar 

  16. Mandjes M (2003) Pricing strategies under heterogeneous service requirements. Comput Netw 42(2):231–249

    Article  MathSciNet  MATH  Google Scholar 

  17. Mendelson H (1985) Pricing computer services: queuing effects. Commun ACM 28(3):312–321. doi:10.1145/3166.3171

    Article  Google Scholar 

  18. Mendelson H, Whang S (1990) Optimal incentive-compatible priority pricing for the M/M/1 queue. Oper Res 38(5):870–883

    Article  MathSciNet  MATH  Google Scholar 

  19. Neuts MF (1981) Matrix-geometric solutions in stochastic models: an algorithmic approach. Dover Publications, Mineola

    MATH  Google Scholar 

  20. Palaka K, Erlebacher S, Kropp DH (1998) Lead-time setting, capacity utilization, and pricing decisions under lead-time dependent demand. IIE Trans 30(2):151–163. doi:10.1023/A:1007414117045

    Google Scholar 

  21. Pangburn MS, Stavrulaki E (2008) Capacity and price setting for dispersed, time-sensitive customer segments. Eur J Oper Res 184(3):1100–1121

    Article  MathSciNet  MATH  Google Scholar 

  22. Pekgun P, Griffin PM, Keskinocak P (2006) Centralized vs. decentralized competition for price and lead-time sensitive demand. H. Milton Stewart School of Industrial and Systems Engineering, Georgia Institute of Technology, Atlanta (in press)

  23. Pekgun P, Griffin PM, Keskinocak P (2008) Coordination of marketing and production for price and lead time decisions. IIE Trans 40(1):12–30

    Article  Google Scholar 

  24. Ramaswami V, Lucantoni DM (1985) Stationary waiting time distribution in queues with phase type service and in quasi-birth-and-death processes. Stoch Models 1(2):125–136

    Article  MathSciNet  MATH  Google Scholar 

  25. Ramaswami V, Lucantoni DM (1999) An introduction to matrix analytic methods in stochastic modeling. SIAM, Philadelphia

    Google Scholar 

  26. Rao S, Petersen ER (1998) Optimal pricing of priority services. Oper Res 46(1):46–56

    Article  MATH  Google Scholar 

  27. Ray S, Jewkes EM (2004) Customer lead time management when both demand and price are lead time sensitive. Eur J Oper Res 153(3):769–781

    Article  MathSciNet  MATH  Google Scholar 

  28. Jayaswal S (2009) Product differentiation and operations strategy for price and time sensitive markets. PhD Thesis, University of Waterloo

  29. Sinha SK, Rangaraj N, Hemachandra N (2010) Pricing surplus server capacity for mean waiting time sensitive customers. Eur J Oper Res 205(1):159–171

    Article  MATH  Google Scholar 

  30. So KC (2000) Price and time competition for service delivery. Manuf Serv Oper Manage 2(4):392–409

    Article  MathSciNet  Google Scholar 

  31. So KC, Song JS (1998) Price, delivery time guarantees and capacity selection. Eur J Oper Res 111(1):28–49

    Article  MATH  Google Scholar 

  32. Stidham S (1992) Pricing and capacity decisions for a service facility: stability and multiple local optima. Manage Sci 38(8):1121–1139

    Article  MATH  Google Scholar 

  33. Tsay AA, Agrawal N (2000) Channel dynamics under price and service competition. Manuf Serv Oper Manage 2(4):372–391. doi:10.1287/msom.2.4.372.12342

    Article  Google Scholar 

  34. Van Mieghem JA (2000) Price and service discrimination in queuing systems: incentive compatibility of Gcμ scheduling. Manage Sci 46(9):1249–1267. doi:10.1287/mnsc.46.9.1249.12238

    Article  Google Scholar 

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Teimoury, E., Modarres, M., Monfared, A.K. et al. Price, delivery time, and capacity decisions in an M/M/1 make-to-order/service system with segmented market. Int J Adv Manuf Technol 57, 235–244 (2011). https://doi.org/10.1007/s00170-011-3261-2

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  • DOI: https://doi.org/10.1007/s00170-011-3261-2

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