BibTex RIS Kaynak Göster
Yıl 2015, Cilt: 5 Sayı: 2, 249 - 268, 01.12.2015

Öz

Kaynakça

  • Artalejo, J.R., Dudin, A.N. and Klimenok, V.I., (2001), Stationary analysis of a retrial queue with preemptive repeated attempts, Oper. Res. lett., 28, (1), pp. 173-180.
  • Berman, O. and Kim, E., (1999), Stochastic models for inventory management at service facility, Stoch. Model., 15, (4), pp. 695-718.
  • Berman, O. and Kim, E., (2004), Dynamic inventory strategies for profit maximization in a service facility with stochastic service, Math. Methods. Oper. Res., 60, (3), pp. 497-521.
  • Berman, O. and Kim, E., (2001), Dynamic order replenishment policy in internet-based supply chains
  • Math. Methods. Oper. Res., 53, (3), pp. 371-390. Berman, O. and Sapna, K.P., (2000), Inventory management at service facility for systems with arbitrarily distributed service times, Commun. Stat. Stoch. Models., 16, (3), pp. 343-360.
  • Berman, O. and Sapna, K.P., (2001), Optimal control of service for facilities holding inventory, Com- put. Oper. Res., 28, (5), pp. 429-441.
  • C¸ akanyildirim, M., Bookbinder, J.H. and Gerchak, Y., (2000), Continuous review inventory models where random lead time depends on lot size and reserved capacity, Int. J. Prod. Econ., 68, (3), pp. 228.
  • Choi, B.D. and Chang, Y., (1999), Single server retrial queues with priority customers, Math. Comput. Model., 30, pp. 7 - 32.
  • Dur´an, A., Guti´errez, G. and Zequeira, R. I., (2004), A continuous review inventory model with order expediting, Int. J. Prod. Econ., 87, (2), pp. 157 - 169.
  • Elango, C. and Arivarignan, G., (2003), A Continuous Review Perishable Inventory Systems with Pois- son Demand and Partial Backlogging, Stat. Methods. Pract: Recent Advances, in : N. Balakrishnan
  • N. Kannan and M.R.Srinivasan, (ED.), Narosa Publ. House, New Delhi. Falin, G.I., Artalejo, J.R. and Martin, M., (1993), On the single server retrial queue with priority customers, Queueing Syst, 14, pp. 439-455.
  • Goyal, S. K. and Giri, B. C., (2001), Recent trends in modeling of deteriorating inventory, European J. Oper. Res., 34, (1), pp. 1 - 16.
  • Jeganathan, K., Anbazhagan, N. and Kathiresan, J., (2013), A retrial inventory system with non- preemptive priority service, Int. J. Inf. Manag. Sci., 24, (1), pp. 57 - 77.
  • Jau-Chuan, K., Chia-Huang, W. and Wen Lea, P., (2011), Multi-server retrial queue with second optional service: algorithmic computation and optimisation, Internat. J. Systems Sci., 42, (10), pp. 1769.
  • Jinting, W. and Qing Zhao, J., (2007), A discrete-time Geo/G/1 retrial queue with starting failures and second optional service, Comput. Math. Appl., 53, (1), pp. 115 - 127.
  • Kalpakam, S. and Arivarignan, G., (1990), Inventory System with Random Supply Quantity, OR Spektrum, 12, pp. 139-145.
  • Kalpakam, S. and Arivarignan, G., (1993), A coordinated multicommodity (s,S) inventory system
  • Mathl. Comput. Modelling, 18, pp. 69-73. Krishnamoorhy, A., Narayanan, V.C., Deepak, T.G. and Vineetha, P. (2006), Control policies for inventory with service time, Stoch. Anal. Appl., 24, (4), pp. 889-899.
  • Langaris, C. and Moutzoukis, E., (1995), A retrial queue with structured batch arrivals, priorities and server vacations, Queueing Syst, 20, pp. 341-368.
  • Liu, L. and Yang, T., (1999), An (s, S) random lifetime inventory model with a positive lead time
  • European J. of Oper. Res., 113, pp. 52-63. Nahmias, S., (1982), Perishable Inventory Theory: A Review, Oper. Res., 30, pp. 680-708.
  • Ning, Z. and Zhaotong, L., (2011), A queueing-inventory system with two classes of customers, Int. j. Prod. Econ., 129, pp. 225-231.
  • Raafat, F., (1991), A Survey of Literature on Continuously Deteriorating Inventory Models, J. Oper. Res. Soc., 42, pp. 27-37.
  • Ross, S. M., (2000), Introduction to probability models, Harcourt Asia PTE Ltd, Singapore.
  • Yadavalli, V. S. S., CdeW V. S., Strashein, J. J. and Udayabakaran, S., (2004), A single product perishing inventory model with demand interaction, ORiON, 20, (2), pp. 109 - 124.

Linear Retrial Inventory System with Second Optional Service Under Mixed Priority Service

Yıl 2015, Cilt: 5 Sayı: 2, 249 - 268, 01.12.2015

Öz

The present paper deals with a generalization of the homogeneous single server finite source retrial inventory system with two classes of customers - one with high priority customer and the other with low priority customer. The inventory is replenished according to an s, Q policy and the replenishing times are assumed to be exponentially distributed. The server provides two types of services - one with essential service and the other with a second optional service. The service times of the 1st essential and 2nd optional services are independent and exponentially distributed. The high priority customers have a mixed priority over the low priority customers. Retrial is introduced for low priority customers only. The joint probability distribution of the number of customers in the waiting hall, the number of customers in the orbit and the inventory level is obtained for the steady state case. Some important system performance measures in the steady state are derived and the long-run total expected cost rate is also derived.

Kaynakça

  • Artalejo, J.R., Dudin, A.N. and Klimenok, V.I., (2001), Stationary analysis of a retrial queue with preemptive repeated attempts, Oper. Res. lett., 28, (1), pp. 173-180.
  • Berman, O. and Kim, E., (1999), Stochastic models for inventory management at service facility, Stoch. Model., 15, (4), pp. 695-718.
  • Berman, O. and Kim, E., (2004), Dynamic inventory strategies for profit maximization in a service facility with stochastic service, Math. Methods. Oper. Res., 60, (3), pp. 497-521.
  • Berman, O. and Kim, E., (2001), Dynamic order replenishment policy in internet-based supply chains
  • Math. Methods. Oper. Res., 53, (3), pp. 371-390. Berman, O. and Sapna, K.P., (2000), Inventory management at service facility for systems with arbitrarily distributed service times, Commun. Stat. Stoch. Models., 16, (3), pp. 343-360.
  • Berman, O. and Sapna, K.P., (2001), Optimal control of service for facilities holding inventory, Com- put. Oper. Res., 28, (5), pp. 429-441.
  • C¸ akanyildirim, M., Bookbinder, J.H. and Gerchak, Y., (2000), Continuous review inventory models where random lead time depends on lot size and reserved capacity, Int. J. Prod. Econ., 68, (3), pp. 228.
  • Choi, B.D. and Chang, Y., (1999), Single server retrial queues with priority customers, Math. Comput. Model., 30, pp. 7 - 32.
  • Dur´an, A., Guti´errez, G. and Zequeira, R. I., (2004), A continuous review inventory model with order expediting, Int. J. Prod. Econ., 87, (2), pp. 157 - 169.
  • Elango, C. and Arivarignan, G., (2003), A Continuous Review Perishable Inventory Systems with Pois- son Demand and Partial Backlogging, Stat. Methods. Pract: Recent Advances, in : N. Balakrishnan
  • N. Kannan and M.R.Srinivasan, (ED.), Narosa Publ. House, New Delhi. Falin, G.I., Artalejo, J.R. and Martin, M., (1993), On the single server retrial queue with priority customers, Queueing Syst, 14, pp. 439-455.
  • Goyal, S. K. and Giri, B. C., (2001), Recent trends in modeling of deteriorating inventory, European J. Oper. Res., 34, (1), pp. 1 - 16.
  • Jeganathan, K., Anbazhagan, N. and Kathiresan, J., (2013), A retrial inventory system with non- preemptive priority service, Int. J. Inf. Manag. Sci., 24, (1), pp. 57 - 77.
  • Jau-Chuan, K., Chia-Huang, W. and Wen Lea, P., (2011), Multi-server retrial queue with second optional service: algorithmic computation and optimisation, Internat. J. Systems Sci., 42, (10), pp. 1769.
  • Jinting, W. and Qing Zhao, J., (2007), A discrete-time Geo/G/1 retrial queue with starting failures and second optional service, Comput. Math. Appl., 53, (1), pp. 115 - 127.
  • Kalpakam, S. and Arivarignan, G., (1990), Inventory System with Random Supply Quantity, OR Spektrum, 12, pp. 139-145.
  • Kalpakam, S. and Arivarignan, G., (1993), A coordinated multicommodity (s,S) inventory system
  • Mathl. Comput. Modelling, 18, pp. 69-73. Krishnamoorhy, A., Narayanan, V.C., Deepak, T.G. and Vineetha, P. (2006), Control policies for inventory with service time, Stoch. Anal. Appl., 24, (4), pp. 889-899.
  • Langaris, C. and Moutzoukis, E., (1995), A retrial queue with structured batch arrivals, priorities and server vacations, Queueing Syst, 20, pp. 341-368.
  • Liu, L. and Yang, T., (1999), An (s, S) random lifetime inventory model with a positive lead time
  • European J. of Oper. Res., 113, pp. 52-63. Nahmias, S., (1982), Perishable Inventory Theory: A Review, Oper. Res., 30, pp. 680-708.
  • Ning, Z. and Zhaotong, L., (2011), A queueing-inventory system with two classes of customers, Int. j. Prod. Econ., 129, pp. 225-231.
  • Raafat, F., (1991), A Survey of Literature on Continuously Deteriorating Inventory Models, J. Oper. Res. Soc., 42, pp. 27-37.
  • Ross, S. M., (2000), Introduction to probability models, Harcourt Asia PTE Ltd, Singapore.
  • Yadavalli, V. S. S., CdeW V. S., Strashein, J. J. and Udayabakaran, S., (2004), A single product perishing inventory model with demand interaction, ORiON, 20, (2), pp. 109 - 124.
Toplam 25 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Bölüm Research Article
Yazarlar

M. A. Abdlhusein Bu kişi benim

Yayımlanma Tarihi 1 Aralık 2015
Yayımlandığı Sayı Yıl 2015 Cilt: 5 Sayı: 2

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