Abstract
The three-dimensional Perishable Queuing-Inventory System (PQIS) models with positive service time and delayed feedback are studied in this paper. We assume that the customers either leave the system with/without purchasing an item or join the orbit for the decision making. We apply the (s, S) replenishment policy with the positive order lead time. The approximate formulas are developed to calculate the joint distributions and performance measures of the system. The high accuracy of the approximate formulas is confirmed by the numerical experiments.
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Krishnamoorthy, A., Lakshmy, B., Manikandan, R.: A survey on inventory models with positive service time. Opsearch 48(2), 158–169 (2011)
Karaesmen, I.Z., Scheller-Wolf, A., Deniz, B.: Managing perishable and aging inventories: review and future research directions. In: Kempf, K., Keskinocak, P., Uzsoy, R. (eds.) Planning Production and Inventories in the Extended Enterprise. International Series in Operations Research & Management Science, vol. 151. Springer, Boston (2011). https://doi.org/10.1007/978-1-4419-6485-4_15
Krishnamoorthy, A., Manikandan, R., Lakshmy, B.: Revisit to queuing-inventory system with positive service time. Annal. Oper. Res. 233, 221–236 (2015)
Krishnamoorthy, A., Manikandan, R., Shajin, D.: Analysis of a multi-server queuing-inventory system. Adv. Oper. Res. 2015, 16 (2015). Article ID 747328
Melikov, A.Z., Shahmaliyev, M.O.: A perishable queuing-inventory system with positive service time and (S-1, S) replenishment policy. Communications in Computer and Information Sciences, vol. 800, pp. 83–96. Springer (2017)
Melikov, A.Z., Ponomarenko, L.A., Shahmaliyev, M.O.: Analysis of perishable queuing-inventory systems with different types of requests. J. Autom. Inf. Sci. 49(9), 42–60 (2017)
Takacs, L.A.: Single-server queue with feedback. Bell Syst. Tech. J. 42, 505–519 (1963)
Takacs, L.A.: Queuing model with feedback. Oper. Res. 11(4), 345–354 (1977)
Melikov, A., Ponomarenko, L., Rustamov, A.: Methods for analysis of queueing models with instantaneous and delayed feedbacks. In: Dudin, A., Nazarov, A., Yakupov, R. (eds.) ITMM 2015. CCIS, vol. 564, pp. 185–199. Springer, Cham (2015). https://doi.org/10.1007/978-3-319-25861-4_16
Koroliuk, V.S., Melikov, A.Z., Ponomarenko, L.A., Rustamov, A.M.: Methods for analysis of multi-channel queuing models with instantaneous and delayed feedbacks. Cybern. Syst. Anal. 52(1), 58–70 (2016)
Amirthakodi, M., Sivakumar, B.: An inventory system with service facility and finite orbit for feedback customers. Opsearch. 52(2), 225–255 (2015)
Amirthakodi, M., Radhamami, V., Sivakumar, B.: A perishable inventory system with service facility and feedback customers. Annal. Oper. Res. 233, 25–55 (2015)
Neuts, M.F.: Matrix-Geometric Solutions in Stochastic Models: An Algorithmic Approach. John Hopkins University Press, Baltimore (1981)
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Melikov, A., Krishnamoorthy, A., Shahmaliyev, M. (2018). Perishable Queuing Inventory Systems with Delayed Feedback. In: Dudin, A., Nazarov, A., Moiseev, A. (eds) Information Technologies and Mathematical Modelling. Queueing Theory and Applications. ITMM WRQ 2018 2018. Communications in Computer and Information Science, vol 912. Springer, Cham. https://doi.org/10.1007/978-3-319-97595-5_5
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DOI: https://doi.org/10.1007/978-3-319-97595-5_5
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