caa a22 4500 465784267 CHVBK 20180323112004.0 cr unu---uuuuu 170327e19900901xx s 000 0 eng 10.1007/BF01719709 doi (NATIONALLICENCE)springer-10.1007/BF01719709 Inventory system with random supply quantity [Elektronische Daten] [S. Kalpakam, G. Arivarignan] Summary: This paper analyzes an inventory system with Poisson demands, fixed ordering size, in which the number of items supplied in a replenishment (of one single order) is a random quantity. A modified (s, S) policy with full backlogging is adopted. The maximum number of pending orders is assumed to have a finite upper limit, to make the model more realistic. The rate of delivery of an order depends both on the supply quantiy and the number of orders pending at that instant. The main result establishes the existence of the limiting distribution of the inventory level in a matrix geometric form and derives it explicitly. Springer-Verlag, 1990 Kalpakam S. Department of Mathematics, Indian Institute of Technology, 600036, Madras, India aut Arivarignan G. Department of Statistics, Presidency College, 600005, Madras, India aut Operations-Research-Spektrum Springer-Verlag 12/3(1990-09-01), 139-145 0171-6468 12:3<139 1990 12 291 https://doi.org/10.1007/BF01719709 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF01719709 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Kalpakam S. Department of Mathematics, Indian Institute of Technology, 600036, Madras, India aut NATIONALLICENCE 700 1- Arivarignan G. Department of Statistics, Presidency College, 600005, Madras, India aut NATIONALLICENCE 773 0- Operations-Research-Spektrum Springer-Verlag 12/3(1990-09-01), 139-145 0171-6468 12:3<139 1990 12 291 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer