Dead-Beat and reaching law based sliding mode control laws for perishable inventories with transportation losses

• Autorzy: Bartoszewicz A. , Maciejewski M.
• Języki publikacji: EN

Abstrakty

EN

This paper describes discrete sliding mode (SM) supply management strategies for inventory systems with perishable goods and transportation losses. In the considered systems, the stock used to satisfy the unknown, bounded and time-varying demand is replenished with some delay from a distant supply source. The on-hand stock deterioration during lead-time delay, as well as commodity losses in supply process are explicitly taken into account. Two supply management strategies are proposed. The first one ensures fast reaction to the imposed demand variations, but may result in excessive control signal magnitude at the beginning of the inventory management process. Therefore, in order to conform to supplier limitations we also develop an alternative control strategy based on the concept of the reaching law. That strategy helps reduce the initial supply rate and satisfy the supplier limitations. A number of desirable properties of both proposed strategies are formulated and formally proved. These properties include full customer demand satisfaction and elimination of the risk of exceeding the warehouse capacity.

Słowa kluczowe

EN

sliding mode control; perishable inventories; inventory control

• Wydawca: Polish Academy of Sciences, Committee of Automatic Control and Robotics
• Czasopismo: Archives of Control Sciences
• Rocznik: 2012
• Tom: Vol. 22, no. 3
• Strony: 255--272
• Opis fizyczny: Bibliogr. 26 poz., rys., wzory

Twórcy

autor

Bartoszewicz A.

autor

Maciejewski M.

• Institute of Automatic Control, Technical University of Łódź, 18/22 Stefanowskiego St., 90-924 Łódź, Poland

Bibliografia

• [1] E. Aggelogiannaki, P. Doganis and H. Sarimveis: An adaptive model predictive control configuration for production-inventory systems. Int. J. of Productioneconomics, 114(1), (2008), 165-178.
• [2] B. Bandyopadhyay and S. Janardhanan: Discrete-time sliding mode control: a multirate output feedback Approach LNCIS. 323, Springer-Verlag, Berlin Heidelberg, 2006.
• [3] A. Bartoszewicz: Discrete-time quasi-sliding-mode control strategies. IEEE Trans. on Industrial Electronics, 45(4), (1998), 633-637.
• [4] A. Bartoszewicz: Remarks On ‘Discrete-time variable structure control systems’. IEEE Trans. on Industrial Electronics, 43(1), (1996), 235-238.
• [5] M. Boccadoro, F. Martinelli and P. Valigi: Supply chain management by H∞ Control. IEEE Trans. on Automation Science and Engineering, 5(4), (2008), 703-707.
• [6] E-K. Boukas, P. Shi and R.K. Agarwal: an application of robust technique to manufacturing systems with uncertain processing time. Optimal Control Applicationsand Methods, 21(6), (2000), 257-268.
• [7] K. Furuta: Sliding mode control of a discrete system. Systems and Control Letters, 14 (1990), 145-152.
• [8] G. Gaalman: Bullwhip Reduction for arma demand: the proportional prder-upto policy versus the full-state-feedback policy. Automatica: 42(8), (2006), 1283-1290.
• [9] G. Gaalman and S.M. Disney: State space investigation of the bullwhip problem with ARMA(1,1) Demand Processes. Int. J. of Production Economics, 104(2), (2006), 327-339.
• [10] W. Gao, Y. Wang and A. Homaifa: Discrete-Time Variable Structure Control System. Ieee Trans. On Industrial Electronics, 42 (1995), 117-122.
• [11] G. Golo And C. Milosavljević : Robust discrete-time chattering free sliding mode control. Systems and Control Letters, 41 (2000), 19-28.
• [12] K. Hoberg, J. R. Bradley and U.W. Thonemann: analyzing the effect of the inventory policy on order and inventory variability with linear control theory. European J. of Operational Research, 176(3), (2007), 1620-1642.
• [13] P. Ignaciuk and A. Bartoszewicz: dead-time compensation in continuousreview perishable inventory systems with a remote supply source. Archives of Control Sciences, 21(1) (2011), 5-28.
• [14] P. Ignaciuk and A. Bartoszewicz: linear-quadratic optimal control of periodic-review perishable inventory systems. IEEE Trans. on Control Systems Technology, 20(3), (2012), 1400-1407.
• [15] P. Ignaciuk and A. Bartoszewicz: Linear-quadratic optimal control strategy for periodic-review inventory systems. Automatica, 46(12), (2010), 1982-1993.
• [16] P. Ignaciuk and A. Bartoszewicz: LQ optimal and reaching law based design of sliding mode supply policy for inventory management systems. Archives of Control Sciences, 19(3), (2009), 261-277.
• [17] P. Ignaciuk and A. Bartoszewicz: LQ optimal sliding mode supply policy for periodic inventory systems. IEEE Trans. on Automatic Control, 55(1), (2010), 269-274.
• [18] P. Ignaciuk and A. Bartoszewicz: LQ optimal sliding mode supply policy for periodic-review perishable inventory systems. J. of the Franklin Institute, 349(4), (2012), 1561-1582.
• [19] P. Ignaciuk and A. Bartoszewicz: dead-beat and reaching-law-based slidingmode control of perishable inventory systems. Bulletin of the Polish Academy of Sciences - Technical Sciences, 59(1), (2011), 39-49.
• [20] I. Karaesmen, A. Scheller-Wolf And B. Deniz: Managing perishable and aging inventories: review and future research directions. In: Kempf K., Keskinocak P., and Uzsoy R. (Eds.) Handbook of production planning. Dordrecht: Kluwer, 2008.
• [21] X. Li And T.E. Marlin: Robust supply chain performance via Model Predictive Control. Computers and Chemical Engineering, 33(12), (2009), 2134-2143.
• [22] C. Milosavljević , B. Peruničić -Draženović , B. Veselić And D. Mitić: Sampled data quasi-sliding mode control strategies. IEEE Int. Conf. on Industrialtechnology, Mumbai, (2006), 2640-2645.
• [23] H. Sarimveis, P. Patrinos, C.D. Tarantilis And C.T. Kiranoudis: dynamic modeling and control of supply chain systems: a review. Computers Andoperations Research, 35(11), (2008), 3530-3561.
• [24] H. A. Simon: On The Application of servomechanism theory in the study of production control. Econometrica, 20(2), (1952), 247-268.
• [25] V. Utkin And S. V. Drakunow: On discrete-time sliding mode control. IFAC Conf. on Nonlinear Control, Capri, Italy, (1989), 484-489.
• [26] H. J. Vassian: application of discrete variable servo theory to inventory control. Arthur D. Little, Inc., Cambridge Massachusetts, 1954.