STOCHASTIC PRODUCTION PLANNING WITH PRODUCTION CONSTRAINTS.

A. Bensoussan; S. P. Sethi; R. Vickson; N. Derzko

doi:10.1137/0322060

STOCHASTIC PRODUCTION PLANNING WITH PRODUCTION CONSTRAINTS.

A. Bensoussan
, S. P. Sethi
, R. Vickson
, N. Derzko

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

40 Citations (Scopus)

Abstract

This paper considers an infinite horizon stochastic production planning problem with the constraint that production rate must be nonnegative. It is shown that an optimal feedback solution exists for the problem. Moreover, this solution is characterized and is then compared with the solution of the unconstrained problem. Also obtained, by using a policy iteration procedure, are computational solutions to the related problems with upper bounds on the production rate.

Original language	English
Pages (from-to)	920-935
Journal	SIAM Journal on Control and Optimization
Volume	22
Issue number	6
DOIs	https://doi.org/10.1137/0322060
Publication status	Published - Nov 1984
Externally published	Yes

Access Output

10.1137/0322060

Other Access Options

Check CityUHK Library

Permanent Link

Right click to copy link

Cite this

@article{6fb35d231a6641b3b259574250facdb0,

title = "STOCHASTIC PRODUCTION PLANNING WITH PRODUCTION CONSTRAINTS.",

abstract = "This paper considers an infinite horizon stochastic production planning problem with the constraint that production rate must be nonnegative. It is shown that an optimal feedback solution exists for the problem. Moreover, this solution is characterized and is then compared with the solution of the unconstrained problem. Also obtained, by using a policy iteration procedure, are computational solutions to the related problems with upper bounds on the production rate.",

author = "A. Bensoussan and Sethi, \{S. P.\} and R. Vickson and N. Derzko",

year = "1984",

month = nov,

doi = "10.1137/0322060",

language = "English",

volume = "22",

pages = "920--935",

journal = "SIAM Journal on Control and Optimization",

issn = "0363-0129",

publisher = "Society for Industrial and Applied Mathematics",

number = "6",

}

TY - JOUR

T1 - STOCHASTIC PRODUCTION PLANNING WITH PRODUCTION CONSTRAINTS.

AU - Bensoussan, A.

AU - Sethi, S. P.

AU - Vickson, R.

AU - Derzko, N.

PY - 1984/11

Y1 - 1984/11

N2 - This paper considers an infinite horizon stochastic production planning problem with the constraint that production rate must be nonnegative. It is shown that an optimal feedback solution exists for the problem. Moreover, this solution is characterized and is then compared with the solution of the unconstrained problem. Also obtained, by using a policy iteration procedure, are computational solutions to the related problems with upper bounds on the production rate.

AB - This paper considers an infinite horizon stochastic production planning problem with the constraint that production rate must be nonnegative. It is shown that an optimal feedback solution exists for the problem. Moreover, this solution is characterized and is then compared with the solution of the unconstrained problem. Also obtained, by using a policy iteration procedure, are computational solutions to the related problems with upper bounds on the production rate.

UR - https://www.scopus.com/pages/publications/0021517887

UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-0021517887&origin=recordpage

U2 - 10.1137/0322060

DO - 10.1137/0322060

M3 - RGC 21 - Publication in refereed journal

SN - 0363-0129

VL - 22

SP - 920

EP - 935

JO - SIAM Journal on Control and Optimization

JF - SIAM Journal on Control and Optimization

IS - 6

ER -

STOCHASTIC PRODUCTION PLANNING WITH PRODUCTION CONSTRAINTS.

Abstract

Access Output

Other Access Options

Permanent Link

Other Files and Links

Fingerprint

Cite this