Probability characteristics of the inventory level in (s, S) Model

L. G. Afanas'eva and E. V. Bulinskaya, “Some asymptotic results for random walks in a band,” Teoriya Veroyatnostei i Ee Primeneniya,29, No. 4, 655–668 (1984).Google Scholar

A. A. Borovkov, “Random walk in a band with delaying boundaries,” Mat Zametki,17, No. 4, 649–669 (1975).Google Scholar

A. A. Borovkov, Probabilistic Processes in Queueing Theory [in Russian], Nauka, Moscow (1972).Google Scholar

B. V. Gnedenko and I. N. Kovalenko, Introduction to Queueing Theory [in Russian], Nauka, Moscow (1966).Google Scholar

V. I. Lotov, “Random walks in a band,” Teoriya Veroyatnostei i Ee Primeneniya,36, No. 1, 160–165 (1991).MATHGoogle Scholar

T. P. Nasirova, Semi-Markov Random Walks [in Russian], Elm, Baku (1984).Google Scholar

N. U. Prabhu, Queueing Theory and Inventory Control [Russian translation], Mashinostroenie, Moscow (1969).Google Scholar

W. Feller, An Introduction to Probability Theory and Its Applications [Russian translation], Vol. 2, Mir, Moscow (1967).Google Scholar

A. V. Skorokhod and N. P. Slobodenyuk, Limit Theory for Random Walks [in Russian], Naukova Dumka, Kiev (1970).Google Scholar

F. Spitzer, Random Walk Principles [Russian translation], Mir, Moscow (1969).MATHGoogle Scholar

T. A. Khaniev, “Distribution of a semi-Markov walk with two delaying screens,” in: Some Issues in the Theory of Stochastic Processes [in Russian], Inst. Matem. AN UkrSSR, Kiev (1984).Google Scholar

T. A. Khaniev, “Explicit form of the ergodic distribution of a semi-Markov walk with independent components,” in: Probabilistic Methods for Systems with Infinite Degree of Freedom [in Russian], Inst. Matem. AN UkrSSR, Kiev (1986), pp. 119-125.Google Scholar

T. A. Khaniev and H. Ozdemir, “On the Laplace transform of finite dimensional distribution functions of semi-continuous random processes with reflecting and delaying screens,” in: Exploring Stochastic Laws, VSP, Zeist, The Netherlands (1995), pp. 167–174.Google Scholar