TY - JOUR
T1 - Matrix-analytic solutions in production lines without buffers
AU - Alkaff, Abdullah
AU - Qomarudin, Mochamad Nur
AU - Wiratno, Stefanus Eko
N1 - Publisher Copyright:
© 2020 The Author(s)
PY - 2020/7
Y1 - 2020/7
N2 - An exact analysis of multistation production lines in which the service periods at all stations follow a matrix-based continuous phase-type (PH) distribution is proposed. The approach uses a holding period model for production lines without buffers, and it is shown that the PH distribution satisfies closure properties in this model. Accordingly, due to the production line mechanism, the model contains random variables, such as the holding, blocking, and starving/idle periods at each station, which also follow PH distributions. Utilizing these properties, an algorithm for generating the distribution functions of these random variables, instead of only calculating the mean values, is derived, and it includes the distribution function of the production cycle. Numerical results for several numbers of stations and service period distributions are presented.
AB - An exact analysis of multistation production lines in which the service periods at all stations follow a matrix-based continuous phase-type (PH) distribution is proposed. The approach uses a holding period model for production lines without buffers, and it is shown that the PH distribution satisfies closure properties in this model. Accordingly, due to the production line mechanism, the model contains random variables, such as the holding, blocking, and starving/idle periods at each station, which also follow PH distributions. Utilizing these properties, an algorithm for generating the distribution functions of these random variables, instead of only calculating the mean values, is derived, and it includes the distribution function of the production cycle. Numerical results for several numbers of stations and service period distributions are presented.
KW - Blocking period distribution
KW - Exact analysis
KW - Holding period model
KW - Idle period distribution
KW - PH distribution
KW - Production cycle
UR - http://www.scopus.com/inward/record.url?scp=85081020221&partnerID=8YFLogxK
U2 - 10.1016/j.cor.2020.104903
DO - 10.1016/j.cor.2020.104903
M3 - Article
AN - SCOPUS:85081020221
SN - 0305-0548
VL - 119
JO - Computers and Operations Research
JF - Computers and Operations Research
M1 - 104903
ER -