(S-1,S) Policy for Two-Commodity Stochastic Inventory System

10.6186/IJIMS.2011.22.3.3

N. Anbazhagan；D. Gomathi

Two-commodity ； base stock policy ； continuous review ； inventory system

International Journal of Information and Management Sciences

22：3（2011 / 09 / 01）

233 - 244

英文

This paper deals with two commodity continuous review inventory system with base stock policy. The maximum inventory level for the i-th commodity is S(subscript i) (i = 1, 2) units. The demands occur for either one unit of first commodity or one unit of second commodity or one unit of each commodity and the demand time points form independent Poisson process. A one-for-one ordering policy is adopted. According to this policy, orders are placed for one unit of i-th commodity, as and when the inventory level of i-th commodity drops by one unit due to a demand (i = 1, 2). The lead times are assumed to be negative exponential. The joint inventory level for both commodities is obtained in the steady state. Various system performance measures in the steady state are derived. The results are illustrated numerically.

1. Anbazhagan, N.,Arivarignan, G.(2001).Analysis of two-commodity Markovian inventory system with lead time.The Korean Journal of Computational and Applied Mathematics,8(2),427-438.
2. Dekker, R.,Hill, R. M.,Klenjn, M. J.,Teunter, R. H.(2002).On the (S-1, S) lost sales inventory model with priority demand classes.Navel Research Logistics,49,593-610.
3. Deshpande, V.,Cohen, M. A.,Donohue, K.(2003).A threshold inventory rationing policy for service-differentiated demand classe.Management Science,49,683-703.
4. Gaver, D. P.,Jacobs, P. A.,Latouche, G.(1984).Finite Birth-and-Death Models in Randomly Changing Environment.Advances in Applied Probability,16,715-731.
5. Kalpakam, S.,Arivarignan, G.(1998).The (S-1, S) Inventory System with Lost Sales.Proceedings of the International Conference on Mathematical Modelling Science and Technology,2,205-212.
6. Kalpakam, S.,Sapna, K. P.(1996).An (S-1, S) perishable inventory system with renewal demands.Naval Research Logistics,43,129-142.
7. Kalpakam, S.,Sapna, K. P.(1995).(S-1, S) perishable system with stochastic lead time.Mathematical Computing Modelling,21(6),95-104.
8. Kalpakam, S.,Shanthi, S.(2000).A perishable system with modified base stock policy and random supply quantity.Computers and Mathematics with Applications,39,79-89.
9. Kranenburg, A. A.,Van Houtum, G. J.(2007).Cost optimization in the (S-1, S) lost sales inventory model with multiple demand classes.Opration Research Letters,35,493-502.
10. Krishnamoorthi, A.,Iqbal Basha, R.,Lakshmi, B.(1994).Analysis of two commodity problem.International Journal of Information and Management Sciences,5(1),127-136.
11. Krishnamoorthi, A.,Varghese, T. V.(1994).A two-commodity inventory problem.International of Information and Management Science,3,55-70.
12. Okonkwo, Ugochukwu C.,Obaseki, Efosa(2011).Development of Stochastic Computer Simulator of continuous review (S-1, S) Inventory Policy with Demand Lead time and Rationing.International Journal of Academic Research,3(2, Part I.)
13. Pal, M.(1989).The (S-1, S) inventory model for deteriorating items with exponential leadtime.Calcutta Statistical Association Bulletin,38,149-150.
14. Schmidt, C. P.,Nahmias, S.(1985).(S-1, S) policies for perishable inventory.Management Science,31,719-728.
15. Sivakumar, B.,Anbazhagan, N.,Arivarignan, G.(2007).Two-commodity inventory system with individual and joint ordering policies and renewal demands.Stochastic Analysis and Applications,25,1217-1241.
16. Sivakumar, B.,Anbazhagan, N.,Arivarignan, G.(2006).Two commodity continuous review perishable inventory system.International Journal of Information and Management Sciences,17(3),47-64.
17. Søren Glud Johansen(2005).Base-stock policies for the lost sales inventory system with poisson demand and erlangian lead times.Internation Journal of Production Economics,93-94,429-437.
18. Yadavalli, V. S. S.,Anbazhagan, N.,Arivarignan, G.(2004).A two-commodity continuous review inventory system with lost sales.Stochastic Analysis and Applications,22,479-497.
19. Yadavalli, V. S. S.,Arivarignan, G.,Anbazhagan, N.(2006).Two commodity coordinated inventory system with Markovian demand.Asia-Pacific Journal of Operational Research,23(4),497-508.
20. Yazdan Shenas, N.,Eshraghniaye Jahromi, A.,Modarres, M.(2009).A new approach to find the optimal solution for base stock policies.Journal of Applied Sciences,9(4),789-793.