On the Weak Convergence of the Ergodic Distribution for an Inventory Model of Type (s,S)  ABSTRACT  |  FULL TEXT 

Volume: 39 Number: 4 April 1, 2010
  • Tahir Khaniyev
  •  kumru Didem Atalay
EN TR

On the Weak Convergence of the Ergodic Distribution for an Inventory Model of Type (s,S)  ABSTRACT  |  FULL TEXT 

Abstract

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Keywords

References

  1. Alsmeyer, G. Some relations between harmonic renewal measure and certain first passage times, Statistics & Probability Letters 12 (1), 19–27, 1991.
  2. Aras, G. and Woodroofe, M. Asymptotic expansions for the moments of a randomly stopped average, Annals of Statistics 21, 503–519, 1993.
  3. Beyer, D., Sethi, S. P. and Taksar, M. Inventory models with Markovian demands and cost functions of polynomial growth, Journal of Optimization Theory and Application 98 (2), 281–323, 1998.
  4. Borovkov, A. A. Stochastic Processes in Queuing Theory (Spinger-Verlag, New York, 1976). [5] Brown, M. and Ross, S. M. Asymptotic properties of cumulative process, Journal of Applied Mathematics 22 (1), 93–105, 1972.
  5. Brown, M. and Solomon, H. A. Second-order approximation for the variance of a renewal- reward process, Stochastic Processes and their Applications 3, 301–314, 1975.
  6. Chen, F. and Zheng, Y. Waiting time distribution in (T, S) inventory systems, Operations Research Letters 12, 145–151, 1992.
  7. Federyuk, M. V. Asymptotics for Integrals and Series (Nauka, Moscow, 1984).
  8. Feller, W. Introduction to Probability Theory and Its Applications II (John Wiley, New York, 1971).

Details

Primary Language

Turkish

Subjects

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Journal Section

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Authors

Tahir Khaniyev This is me

 kumru Didem Atalay This is me

Publication Date

April 1, 2010

Submission Date

May 12, 2014

Acceptance Date

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Published in Issue

Year 2010 Volume: 39 Number: 4

APA
Khaniyev, T., & Atalay, kumruD. (2010). On the Weak Convergence of the Ergodic Distribution for an Inventory Model of Type (s,S)  ABSTRACT  |  FULL TEXT . Hacettepe Journal of Mathematics and Statistics, 39(4), 599-611. https://izlik.org/JA78XB26PX
AMA
1.Khaniyev T, Atalay kumruD. On the Weak Convergence of the Ergodic Distribution for an Inventory Model of Type (s,S)  ABSTRACT  |  FULL TEXT . Hacettepe Journal of Mathematics and Statistics. 2010;39(4):599-611. https://izlik.org/JA78XB26PX
Chicago
Khaniyev, Tahir, and  kumru Didem Atalay. 2010. “On the Weak Convergence of the Ergodic Distribution for an Inventory Model of Type (s,S)  ABSTRACT  |  FULL TEXT ”. Hacettepe Journal of Mathematics and Statistics 39 (4): 599-611. https://izlik.org/JA78XB26PX.
EndNote
Khaniyev T, Atalay kumruD (April 1, 2010) On the Weak Convergence of the Ergodic Distribution for an Inventory Model of Type (s,S)  ABSTRACT  |  FULL TEXT . Hacettepe Journal of Mathematics and Statistics 39 4 599–611.
IEEE
[1]T. Khaniyev and  kumruD.Atalay, “On the Weak Convergence of the Ergodic Distribution for an Inventory Model of Type (s,S)  ABSTRACT  |  FULL TEXT ”, Hacettepe Journal of Mathematics and Statistics, vol. 39, no. 4, pp. 599–611, Apr. 2010, [Online]. Available: https://izlik.org/JA78XB26PX
ISNAD
Khaniyev, Tahir - Atalay, kumruDidem. “On the Weak Convergence of the Ergodic Distribution for an Inventory Model of Type (s,S)  ABSTRACT  |  FULL TEXT ”. Hacettepe Journal of Mathematics and Statistics 39/4 (April 1, 2010): 599-611. https://izlik.org/JA78XB26PX.
JAMA
1.Khaniyev T, Atalay kumruD. On the Weak Convergence of the Ergodic Distribution for an Inventory Model of Type (s,S)  ABSTRACT  |  FULL TEXT . Hacettepe Journal of Mathematics and Statistics. 2010;39:599–611.
MLA
Khaniyev, Tahir, and  kumru Didem Atalay. “On the Weak Convergence of the Ergodic Distribution for an Inventory Model of Type (s,S)  ABSTRACT  |  FULL TEXT ”. Hacettepe Journal of Mathematics and Statistics, vol. 39, no. 4, Apr. 2010, pp. 599-11, https://izlik.org/JA78XB26PX.
Vancouver
1.Tahir Khaniyev,  kumru Didem Atalay. On the Weak Convergence of the Ergodic Distribution for an Inventory Model of Type (s,S)  ABSTRACT  |  FULL TEXT . Hacettepe Journal of Mathematics and Statistics [Internet]. 2010 Apr. 1;39(4):599-611. Available from: https://izlik.org/JA78XB26PX