قیمت‌گذاری و تعیین سیاست بهینه در سیستم های تولیدی چندمرحله‌ای با مدت زمان تدارک احتمالی، تقاضا متغیر، کمبود جزئی و نرخ خرابی قطعات

نوع مقاله: مقاله پژوهشی

نویسندگان

گروه مهندسی صنایع، دانشکده مهندسی، دانشگاه کردستان، سنندج، کردستان، ایران.

چکیده

در این مقاله، سیستم‌های تولیدی چند‌مرحله‌ای با در نظر گرفتن سیاست سفارش‌دهی POQ، مدت زمان تدارک احتمالی و تقاضای وابسته به قیمت، مورد بررسی قرار گرفته است. فرض می‌شود که مدت زمان تدارک در هر مرحله از تولید، احتمالی بوده و دارای توزیع مشخصی است. در حین تولید در هر مرحله ممکن است قطعه تولیدی در آن مرحله در مدت زمان بیشتر از آنچه که در نظر گرفته شده تولید شود و باعث تاخیر در تولید در آن مرحله شویم؛ به همین علت ممکن است در تحویل محصول نهایی به مشتری دچار تاخیر (کمبود) شویم . در این حالت فرض شده است درصدی از کمبود حالت، پس‌افت بوده و درصد باقی مانده نیز، فروش از‌دست‌رفته خواهد شد. هدف از ارائه این مقاله تعیین قیمت فروش بهینه، تعیین مقدار بهینه مدت زمان تدارک و فاصله زمانی بین سفارشات بر اساس سیاست سفارش‌دهی POQ  و کمبود جزئی است به طوری که سود کل سیستم حداکثر گردد.




کلیدواژه‌ها

موضوعات


عنوان مقاله [English]

Pricing and determining the optimal policy in multi-stage production systems with stochastic lead time, variable demand, partial backordering and failure rate

نویسندگان [English]

  • Heibatolah Sadeghi
  • Anwar Mahmoodi
Department of Industrial Engineering, Faculty of Engineering, University of Kurdistan, Iran.
چکیده [English]

This paper considers multi-period serial production systems with Periodic order quantity (POQ) policy, lead-time uncertainties and demand dependent to the price. It is assumed that actual lead-time for each stage is probabilistic with known distribution and ordering system is multi period. During the production at each stage, the items may be produced in a longer time than it was schedule, causing a delay in production at this stage and this may result in backorders of the finished product. It is assumed in this case that a fixed percentage of the shortage is backlogged and other sales are lost. The objective of this paper is to find the pricing of unit product, planned lead-time and periodicity with quantity (POQ) policy in order to maximize the total system profit.

کلیدواژه‌ها [English]

  • pricing
  • probabilistic lead time
  • variable demand
  • partial backordering
  • serial production systems

Murthy, D. N. P., & Ma, L. (1991). MRP with uncertainty: a review and some extensions. International journal of production economics25(1-3), 51-64.

Gupta, S. M., & Brennan, L. (1995). MRP systems under supply and process uncertainty in an integrated shop floor control environment. The international journal of production research33(1), 205-220.

Bragg, D. J. (1999). The effects of partial order release and component reservation on inventory and customer service performance in an MRP environment. International journal of production research37(3), 523-538.

Melnyk, S. A., & Piper, C. J. (1985). Leadtime errors in MRP: the lot-sizing effect. International journal of production research23(2), 253-264.

Wemmerlöv, U. (1986). A time-phased order-point system in environments with and without demand uncertainty: a comparative analysis of non-monetary performance variables. International journal of production research24(2), 343-358.

Molinder, A. (1997). Joint optimization of lot-sizes, safety stocks and safety lead times in an MRP system. International journal of production research35(4), 983-994.

Whybark, D. C., & Williams, J. G. (1976). Material requirements planning under uncertainty. Decision sciences7(4), 595-606.

Kim, J. G., Sun, D., He, X. J., & Hayya, J. C. (2004). The (s, Q) inventory model with Erlang lead time and deterministic demand. Naval research logistics (NRL)51(6), 906-923.

Hadley, G., & Whitin, T. M. (1962). Analysis of inventory systems. Prentice-Hall.

Kaplan, R. S. (1970). A dynamic inventory model with stochastic lead times. Management science16(7), 491-507.

Zipkin, P. (1986). Stochastic leadtimes in continuous‐time inventory models. Naval research logistics quarterly33(4), 763-774.

Lee, H. L., & Nahmias, S. (1993). Single-product, single-location models. Handbooks in operations research and management science4, 3-55.

Louly, M. A., & Dolgui, A. (2013). Optimal MRP parameters for a single item inventory with random replenishment lead time, POQ policy and service level constraint. International journal of production economics143(1), 35-40.

Hnaien, F., Dolgui, A., & Louly, M. A. O. (2008). Planned lead time optimization in material requirement planning environment for multilevel production systems. Journal of systems science and systems engineering17(2), 132.

Sadeghi, H., Makui, A., & Heydari, H. (2013). Determining the periodicity and planned lead time in serial-production systems with dependent demand and uncertain lead time. Uncertain supply chain management1(2), 87-98.

Sadeghi, H., Makui, A., & Heydari, M. (2015). Multi-objective optimization for inventory control in serial-production systems with dependent demand and uncertainty of lead times. MAGNT research report3(4), 247-254.

De Bodt, M. A., & Van Wassenhove, L. N. (1983). Cost increases due to demand uncertainty in MRP lot sizing. Decision sciences14(3), 345-362.

Yano, C. A. (1987a). Setting planned leadtimes in serial production systems with tardiness costs. Management science33(1), 95-106.

Yano, C. A. (1987b). Stochastic leadtimes in two-level assembly systems. IIE transactions19(4), 371-378.

Chu, C., Proth, J. M., & Xie, X. (1993). Supply management in assembly systems. Naval research logistics (NRL)40(7), 933-949.

Grubbström, R. W., & Tang, O. (1999). Further developments on safety stocks in an MRP system applying Laplace transforms and input–output analysis. International journal of production economics60, 381-387.

Hegedus, M. G., & Hopp, W. J. (2001). Due date setting with supply constraints in systems using MRP. Computers & industrial engineering39(3-4), 293-305.

Dolgui, A., & Ould-Louly, M. A. (2002). A model for supply planning under lead time uncertainty. International journal of production economics78(2), 145-152.

Elhafsi, M. (2002). Optimal leadtimes planning in serial production systems with earliness and tardiness costs. IIE transactions34(3), 233-243.

Ould-Louly, M. A., & Dolgui, A. (2002). A polynomial algorithm for the MPS parameterization under uncertainty. IFAC proceedings volumes35(1), 19-24.

Tang, O., & Grubbström, R. W. (2003). The detailed coordination problem in a two-level assembly system with stochastic lead times. International journal of production economics81, 415-429.

Chauhan, S. S., Dolgui, A., & Proth, J. M. (2009). A continuous model for supply planning of assembly systems with stochastic component procurement times. International journal of production economics120(2), 411-417.

Hnaien, F., Delorme, X., & Dolgui, A. (2010). Multi-objective optimization for inventory control in two-level assembly systems under uncertainty of lead times. Computers & operations research37(11), 1835-1843.

Louly, M. A., & Dolgui, A. (2013). Optimal MRP parameters for a single item inventory with random replenishment lead time, POQ policy and service level constraint. International journal of production economics143(1), 35-40.

Borodin, V., Hnaien, F., & Dolgui, A. (2017). Random lead times in replenishment planning for single-level assembly systems: The value of information. IFAC-PapersOnLine50(1), 1205-1210.

Jansen, S., Atan, Z., Adan, I., & de Kok, T. (2019). Setting optimal planned leadtimes in configure-to-order assembly systems. European journal of operational research273(2), 585-595.