STOCHASTIC PRODUCTION PLANNING WITH REGIME SWITCHING

被引：4

作者：

Covei, Dragos-Patru ^{[1
]}

Canepa, Elena Cristina ^{[2
]}

Pirvu, Traian A. ^{[3
]}

机构：

[1] Bucharest Univ Econ Studies, Dept Appl Math, 1st Dist,Postal Off 22, Bucharest 010374, Romania

[2] Univ Politehn Bucuresti, Dept Math Methods & Models, 6th Dist,Postal Off 313, Bucharest 060042, Romania

[3] McMaster Univ, Dept Math & Stat, 1280 Main St West, Hamilton, ON L8S 4K1, Canada

来源：

JOURNAL OF INDUSTRIAL AND MANAGEMENT OPTIMIZATION | 2023年 / 19卷 / 03期

基金：

加拿大自然科学与工程研究理事会;

关键词：

Production planning; PDE system; sensitivity analysis; PARTIAL-DIFFERENTIAL-EQUATION;

D O I：

10.3934/jimo.2022013

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

This paper considers a stochastic production planning problem with regime switching. There are two regimes corresponding to different economic cycles. A factory is planning its production so as to minimize production costs. We analyze this problem and the optimal production is characterized through an elliptic system of partial differential equations which can be numerically solved. We perform a sensitivity analysis for which we provide an intuition. A model risk analysis reveals the effect of adding regime switching to the modelling.

引用

页码：1697 / 1713

页数：17

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