A Markovian approach for multi-level multi-product multi-period capacitated lot-sizing problem with uncertainty in levels

被引:9
作者
Behnamian, J. [1 ]
Ghomi, S. M. T. Fatemi [2 ]
Karimi, B. [2 ]
Moludi, M. Fadaei [2 ]
机构
[1] Bu Ali Sina Univ, Fac Engn, Dept Ind Engn, Hamadan, Iran
[2] Amirkabir Univ Technol, Dept Ind Engn, Tehran, Iran
关键词
capacitated lot-sizing; absorbing Markov chain; uncertainty in levels; scrap; binominal experiments; multi-level production planning; RANDOM PROCESSING TIMES; SUPPLY CHAIN NETWORK; PRODUCTION SYSTEMS; MODEL; OPTIMIZATION; ORDER;
D O I
10.1080/00207543.2017.1311048
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
This paper considers a multi-level, multi-item, multi-period capacitated lot-sizing problem with sequence-dependent family set-up times, set-up carry over and uncertainty in levels due to uncertainty in inspection, rework and scrap. In this study, we, first, determined total processing time for each product of each family. Then, expected number of times associated with visiting each level of each product as well as amount of raw materials are calculated. We developed a mixed integer linear programming model with a numerical example and sensitivity analysis.
引用
收藏
页码:5330 / 5340
页数:11
相关论文
共 20 条
[1]   A bibliography of non-deterministic lot-sizing models [J].
Aloulou, Mohamed Ali ;
Dolgui, Alexandre ;
Kovalyov, Mikhail Y. .
INTERNATIONAL JOURNAL OF PRODUCTION RESEARCH, 2014, 52 (08) :2293-2310
[2]  
[Anonymous], 1976, Denumerable Markov Chains
[3]  
Bowling SR, 2004, EUR J OPER RES, V159, P636, DOI [10.1016/S0377-2217(03)00429-6, 10.1016/s0377-2217(03)00429-6]
[4]   Multi-item capacitated lot-sizing with demand uncertainty [J].
Brandimarte, Paolo .
INTERNATIONAL JOURNAL OF PRODUCTION RESEARCH, 2006, 44 (15) :2997-3022
[5]   Stochastic economic lot sizing and scheduling problem with pitch interval, reorder points and flexible sequence [J].
Cunha Neto, E. ;
Ferreira Filho, V. J. M. ;
Arruda, E. F. .
INTERNATIONAL JOURNAL OF PRODUCTION RESEARCH, 2015, 53 (19) :5948-5961
[6]   An optimal solution to a three echelon supply chain network with multi-product and multi-period [J].
Eduardo Cardenas-Barron, Leopoldo ;
Trevino-Garza, Gerardo .
APPLIED MATHEMATICAL MODELLING, 2014, 38 (5-6) :1911-1918
[7]   A constrained multi-products EPQ inventory model with discrete delivery order and lot size [J].
Eduardo Cardenas-Barron, Leopoldo ;
Trevino-Garza, Gerardo ;
Widyadana, Gede Agus ;
Wee, Hui-Ming .
APPLIED MATHEMATICS AND COMPUTATION, 2014, 230 :359-370
[8]   A simple and better algorithm to solve the vendor managed inventory control system of multi-product multi-constraint economic order quantity model [J].
Eduardo Cardenas-Barron, Leopoldo ;
Trevino-Garza, Gerardo ;
Wee, Hui Ming .
EXPERT SYSTEMS WITH APPLICATIONS, 2012, 39 (03) :3888-3895
[9]   MARKOVIAN MODELS FOR INVESTIGATING FAILURE AND REPAIR CHARACTERISTICS OF PRODUCTION SYSTEMS [J].
FOSTER, JW ;
GARCIADIAZ, A .
IIE TRANSACTIONS, 1983, 15 (03) :202-209
[10]   ANALYSIS OF TRANSFER LINES CONSISTING OF 2 UNRELIABLE MACHINES WITH RANDOM PROCESSING TIMES AND FINITE STORAGE BUFFERS [J].
GERSHWIN, SB ;
BERMAN, O .
AIIE TRANSACTIONS, 1981, 13 (01) :2-11