Hostname: page-component-cd9895bd7-gbm5v Total loading time: 0 Render date: 2024-12-26T05:44:40.545Z Has data issue: false hasContentIssue false
  • English
  • Français

Further existence theorems for the optimal inventory equation

Published online by Cambridge University Press:  14 July 2016

Edward S. Boylan
Edward S. Boylan*
Affiliation:
Rutgers University, Newark, New Jersey
Get access Rights & Permissions [Opens in a new window]

Extract

For given functions, g(x), h(x), F(x) and a constant, a, f(x) is said to be a solution of the optimal inventory equation if where f(y - z) = f(0) when z > y. (The same convention holds in similar equations below.) A method of deriving a solution to (1) is to define inductively a sequence of approximating functions, fn(x), by:

Type
Short Communications
Information
Journal of Applied Probability , Volume 7 , Issue 2 , August 1970 , pp. 469 - 472
Copyright
Copyright © Applied Probability Trust 1970 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

[1] Boylan, E. S. (1967) Multiple (s.S.) policies and the n-period inventory problem. Management Sci. 14, 196–204.CrossRefGoogle Scholar
[2] Boylan, E. S. (1966) Existence and uniqueness theorems for the optimal inventory equation. SIAM J. Appl. Math. 14, 961–969.CrossRefGoogle Scholar
[3] Rudin, W. (1964) Principles of Mathematical Analysis. McGraw Hill, New York.Google Scholar