مدل سازی سیستم موجودی قطعات یدکی چندسطحی با پس افت و تخفیفات کلی تأمین کننده خارجی با رویکرد شبکه

نویسندگان

1 مهندسی صنایع دانشگاه بوعلی سینا

2 گروه مهندسی صنایع دانشکده مهندسی دانشگاه بوعلی سینا

چکیده

یکی از مهم­ترین جنبه­ های سیستم­ های موجودی چندسطحی، مربوط به قطعات یدکی است. زیرا در دنیای واقعی، تعمیر تجهیزات بسیار اقتصاد ی­تر از تعویض آنها می­ باشد. از سوی دیگر این امکان وجود دارد که بتوان با خرید قطعات یدکی، بیشتر از تأمین­ کننده­ خارجی از تخفیف قیمتی نیز برخوردار شد. از این رو در این مقاله، به یک سیستم موجودی قطعات یدکی چند سطحی با پس­افت و تخفیف قیمتی از تأمین­ کننده خارجی پرداخته می­ شود و برای مدل­سازی و حل این مسئله از رویکرد شبکه استفاده می­ گردد. مثال عددی، اثربخشی این الگوریتم را نشان می­دهد.

کلیدواژه‌ها


عنوان مقاله [English]

A Network Model for Multi-echelon Spare-part Inventory Systems with Backorders and Quantity Discount of External Supplier

چکیده [English]

One of the most important aspects of multi echelon inventory management systems is related to spare part; actually, in the real world, it is more economical to repair equipment than replace them. Also, it is possible to benefit from discounts when more spare parts purchased from an external supplier. So, this paper considers a multi-echelon spare-part inventory system with backorders and quantity discount of external supplier and applies a network approach for modeling and solving these problems. Numerical example shows the efficiency of this algorithm.

کلیدواژه‌ها [English]

  • Network
  • Minimum Cost Flow
  • Multi-Echelon
  • Spare-Part
  • Quantity Discount
[1] Levner, E., Perlman, Y., Cheng, T.C.E., Levner, I., "A Network Approach To Modeling The Multi-Echelon Spare-Part Inventory System With Back Orders And Interval-Valued Demand", Int. J. Production Economics 132, 43–51, 2011.

[2] Díaz, A, Fu, M. C., "Models For Multi-Echelon Repairable Item Inventory Systems with Limited Repair Capacity", European Journal Of Operational Research 97, 480-492, 1997.

[3] Felderhof, J.P.K., Konstantis, G., "A Three Echelon Spare Parts Provisioning Model", European Journal Of Operational Research 24, 118-122, 1986.

[4] Graves, S. C., "A Multi-Echelon Inventory Model for A Repairable Item with One-For-One Replenishment", Management Science Vol. 31, No. 10, 1247-1256, 1985.

[5] Gupta, A., Albright S. C., "Steady-State Approximations For A Multi Echelon Multi-Indentured Repairable-Item Inventory System", European Journal Of Operational Research 62, 340-353, 1992.

[6] Alfredsson, P., "Optimization Of Multi-Echelon Repairable Item Inventory Systems With Simultaneous Location Of Repair Facilities", European Journal Of Operational Research 99, 584-595, 1997.

[7] Shtub, A., Simon, M., "Determination Of Reorder Points For Spare Parts In A Two-Echelon Inventory System: The Case Of Non Identical Maintenance Facilities", European Journal Of Operational Research 73, 458-464, 1994.

[8] Sleptchenko, A., Heijden, M.C., A. Harten, A., "Effects of Finite Repair Capacity In Multi-Echelon, Multi-Indenture Service Part Supply Systems", Int. J. Production Economics 79, 209–230, 2002.

[9] Kalchschmidt, M., Zotteri, G., Verganti, R., "Inventory Management In A Multi-Echelon Spare Parts Supply Chain", Int. J. Production Economics 81–82, 397–413, 2003.

[10] Sleptchenko. A., Van Der Heijden M.C., Van Harten, A., "Using Repair Priorities To Reduce Stock Investment In Spare Part Networks", European Journal Of Operational Research 163 (2005) 733–750, 2005.

[11] Lau, H. C., Song, H., See, C. T., Cheng, S. Y., "Evaluation Of Time-Varying Availability In Multi-Echelon Spare Parts Systems With Passivation", European Journal Of Operational Research 170, 91–105, 2006.

[12] Jiangsheng, S., Sujian, L., Fanggeng, Z., Lv Yanmei, L., "Research on The Multi-Echelon Inventory Model Of Weapon Equipment Repairable Valuable Spare Parts", Automation And Logistics, 2007 IEEE International Conference, 662 – 665, 2007.

[13] Rappold, J. A., Roo, B. D. V., "Designing Multi-Echelon Service Parts Networks with Finite Repair Capacity", European Journal Of Operational Research 199, 781–792, 2009.

[14] Kranenburg, A.A., Van Houtum, G.J., "A New Partial Pooling Structure For Spare Parts Networks", European Journal Of Operational Research 199, 908–921, 2009.

[15] Topan, E., Bayndir, Z. P., Tan, T., "An Exact Solution Procedure For Multi-Item Two-Echelon Spare Parts Inventory Control Problem With Batch Ordering In The Central Warehouse", Operations Research Letters 38, 454_461, 2010.

[16] Perlman, Y., Levner, I., "Modeling Multi-Echelon Multi-Supplier Repairable Inventory Systems with Backorders", J. Service Science & Management, 3, 440-448, 2010.

 [17] Liu, J., "Algorithms for Minimum-Cost Flows", Computer Science Department, the University Of Western Ontario, 2003.

[18] Ravindra K. Ahuja, Thomas L. Magnanti, And James B. Orlin., Network Flows: Theory, Algorithms, and Applications, Prentice-Hall, Inc, 1993.

[19] Ford, L.R., Fulkerson, D.R., "Flows In Networks", Princeton University Press, Princeton, N.J, 1962.

[20] Wagner, H. M., Whitin, T. M., "Dynamic Version Of The Economic Lot Size Model", Management Science Vol. 50, No. 12 Supplement, 1770-1774, 2004.

[21] Al-Rifai, M. H., Rossetti, M. D., "An Efficient Heuristic Optimization Algorithm for A Two-Echelon (R, Q) Inventory System", Int. J. Production Economics 109, 195–213, 2007.

[22] Díaz, A., Fu, M. C., "Multi-Echelon Models For Repairable Items: A Review", Working Paper, University of Maryland, Maryland, 1995.

[23] Edmonds, J., Karp, R., "Theoretical Improvements In Algorithmic Efficiency For Network Flow Problems", Journal Of ACM, 248-264, 1972.

[24] Garg, A., Deshmukh, S.G., "Multi-Echelon Repair Inventory Systems: Select Issues in Modular Electronic Equipment", Defence Science Journal, Vol. 60, No. 5, 514-524, 2010.

[25] Sasikumar, P., Kannan, G., & Noorul Haq, A., "A Multi-Echelon Reverse Logistics Network Design for Product Recovery-A Case of Truck Tire Remanufacturing", International Journal of Advanced Manufacturing Technology 49, 1223–1234, 2010.