Bifurcations to Periodic Solutions in a Production/Inventory Model
نویسندگان
چکیده
Total production costs show sometimes an S-shaped form. There are several ways in which a plant with given capacity can be adapted to a specific demand rate, one of them being adaptation of intensity per work hour. In this paper we present an application of the Hamilton-Hopf bifurcation to an inventory/production intensity splitting model with a nonconvex cost function. Our analysis provides a new proof that persistent oscillations may be optimal for arbitrary small discount rates. For zero discounting a “Hamilton Hopf bifurcation” occurs, leading to a family of periodic solutions bifurcating from a steady state. If the discount rate becomes positive, almost all periodic solutions vanish; only an unique branch of periodic solutions is obtained. Date: December 23, 2003. 1 2 A. STEINDL AND G. FEICHTINGER
منابع مشابه
Simultaneous coordination of review period and order-up-to-level in a manufacturer-retailer chain
In this article, manufacturer-retailer supply chain coordination (SCC) has been developed under periodic review inventory system. In the studied model, the retailer as downstream member uses periodic review inventory policy and decides about review period (T) and order-up-to-level (R). Also, the manufacturer as upstream member faces EPQ system and determines the number of shipments from manufac...
متن کاملBifurcations in a mathematical model of non-basal testosterone production
A recently proposed by the authors impulsive mathematical model of non-basal testosterone secretion of the hypothalamic-pituitary-testicular axis in the male is considered. Conditions for existence of periodic solutions in the model, their parametrization and stability are studied. Parameter bifurcations which lead to periodic oscillations of hormone levels with one or two pulses of gonadotropi...
متن کاملCoordination and profit sharing in a two-level supply chain under periodic review inventory policy with delay in payments contract
In this paper,a coordination model has been investigated for a two-level supply chain (SC) consisting of one retailer and one supplier under periodic review inventory system. The review period and the retailer’s safety factorare assumed to be decision variables. The retailer faces stochastic demand following a normal distribution with known mean and variance. Moreover, it is assumed that unmet ...
متن کاملAn EPQ Model with Increasing Demand and Demand Dependent Production Rate under Trade Credit Financing
This paper investigates an EPQ model with the increasing demand and demand dependent production rate involving the trade credit financing policy, which is seldom reported in the literatures. The model considers the manufacturer was offered by the supplier a delayed payment time. It is assumed that the demand is a linear increasing function of the time and the production rate is proportional to ...
متن کامل2 v 1 4 A pr 1 99 7 Periodic instanton bifurcations and thermal transition rate
It is shown that periodic instanton solutions may have bifurcations which qualitatively change the behaviour of the finite temperature transition rate. These bifurcations are studied numerically in a quantum mechanical model and in the massive two-dimensional sigma model with the Skyrme term. General rules which determine the behaviour of periodic instantons near bifurcations are derived and ap...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید
ثبت ناماگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید
ورودعنوان ژورنال:
- J. Nonlinear Science
دوره 14 شماره
صفحات -
تاریخ انتشار 2004